Publications

The list below is generated from the Nektar++ publications database together with a local BibTeX database built from ORCID. Each entry links to its DOI, and the full BibTeX record can be expanded for citation.

Journal articles · Conference papers · Books and chapters · Theses and other

Journal articles

2026

C. H. Chan, M. Z. Hossain, S. J. Sherwin and Y. Hwang

Direct numerical simulations of transitional Rayleigh–Bénard Poiseuille flows

Journal of Fluid Mechanics, 1034, 2026. doi 10.1017/jfm.2026.11507

BiBTeX

@article{2026:chan.hossain.ea:direct,
  author = {Chan, Chi Hin and Hossain, M.Z. and Sherwin, Spencer J. and Hwang, Yongyun},
  title = {Direct numerical simulations of transitional Rayleigh--Bénard Poiseuille flows},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2026},
  volume = {1034},
  groups = {sherwin},
  doi = {10.1017/jfm.2026.11507}
}

A. I. Liosi, H. Wüstenberg, P. Khurana, A. Swift, A. Chatzopoulos, F. Bottone, J. Hoessler and S. Sherwin

Comparing implicit time-stepping techniques for highly resolved simulations using industrial geometries

Computers & Fluids, 311, p. 107029, 2026. doi 10.1016/j.compfluid.2026.107029

BiBTeX

@article{2026:liosi.wustenberg.ea:comparing,
  author = {Liosi, Alexandra Ioanna and Wüstenberg, Henrik and Khurana, Parv and Swift, Adam and Chatzopoulos, Athanasios and Bottone, Francesco and Hoessler, Julien and Sherwin, Spencer},
  title = {Comparing implicit time-stepping techniques for highly resolved simulations using industrial geometries},
  journal = {Computers & Fluids},
  publisher = {Elsevier BV},
  year = {2026},
  volume = {311},
  pages = {107029},
  groups = {sherwin},
  doi = {10.1016/j.compfluid.2026.107029}
}

2025

J. Isler, G. Vivarelli, C. Cantwell, F. Montomoli, S. Sherwin, Y. Frey, M. Meyer and R. Vazquez

Source Term-Based Synthetic Turbulence Generator Applied to Compressible DNS of the T106A Low-Pressure Turbine

International Journal of Turbomachinery, Propulsion and Power, 10 (3), p. 13, 2025. doi 10.3390/ijtpp10030013

BiBTeX

@article{2025:isler.vivarelli.ea:source,
  author = {Isler, João and Vivarelli, Guglielmo and Cantwell, Chris and Montomoli, Francesco and Sherwin, Spencer and Frey, Yuri and Meyer, Marcus and Vazquez, Raul},
  title = {Source Term-Based Synthetic Turbulence Generator Applied to Compressible DNS of the T106A Low-Pressure Turbine},
  journal = {International Journal of Turbomachinery, Propulsion and Power},
  publisher = {MDPI AG},
  year = {2025},
  volume = {10},
  number = {3},
  pages = {13},
  groups = {sherwin},
  doi = {10.3390/ijtpp10030013}
}

G. Vivarelli, J. A. Isler, C. D. Cantwell, F. Montomoli, S. J. Sherwin, Y. Frey-Marioni, M. Meyer, I. Naqavi and R. Vazquez-Diaz
A Quasi-Direct Numerical Simulation of a Compressor Blade with Separation Bubbles and Inflow Turbulence
International Journal of Turbomachinery, Propulsion and Power, 10 (2), p. 8, 2025. doi 10.3390/ijtpp10020008
BiBTeX Abstract
```
@article{2025:vivarelli.isler.ea:quasi-direct,
  author = {Vivarelli, Guglielmo and Isler, Jo{\~a}o Anderson and Cantwell, Chris D and Montomoli, Francesco and Sherwin, Spencer J and Frey-Marioni, Yuri and Meyer, Marcus and Naqavi, Iftekhar and Vazquez-Diaz, Raul},
  title = {A Quasi-Direct Numerical Simulation of a Compressor Blade with Separation Bubbles and Inflow Turbulence},
  journal = {International Journal of Turbomachinery, Propulsion and Power},
  year = {2025},
  volume = {10},
  number = {2},
  pages = {8},
  publisher = {MDPI},
  groups = {app},
  doi = {10.3390/ijtpp10020008}
}
```
Within the turbomachinery industry, components are currently assessed deploying standard second-order steady solvers. These are unable to capture complicated unsteady phenomena that have a critical impact on component performance. In this work, the high-order spectral h/p solver Nektar++ will be applied to a compressor blade to study the turbulent transition mechanisms and assess the effect of incoming disturbances with quasi-DNS resolution. The case will be modelled at an angle of incidence of 53.5\textdegree to match the original experimental loading at 52.8\textdegree. At clean inflow conditions, Kelvin-Helmholtz instabilities appear on both sides of the blade due to a double separation, with the pressure side one not being reported in the experiments. The separation is gradually removed by the incoming turbulent structures but at different rates on the two sides of the blade. It will be shown that there is an optimal amount of turbulence intensity that minimises momentum thickness, which is strongly related to losses. Moreover, a discussion on the spanwise extrusion will be included, this being a major player in the modelling costs. Finally, the wall-clock time and the exact expenditure to run this case will be outlined, providing quantitative evidence of the feasibility of considering a quasi-DNS resolution in an industrial setting.

2024

M. D. Green, K. S. Kirilov, M. Turner, J. Marcon, J. Eichstädt, E. Laughton, C. D. Cantwell, S. J. Sherwin, J. Peiró and D. Moxey
NekMesh: An open-source high-order mesh generation framework
Computer Physics Communications, (298), p. 109089, 2024. doi 10.1016/j.cpc.2024.109089
BiBTeX Abstract
```
@article{2024:green.kirilov.ea:nekmesh,
  author = {Green, M. D. and Kirilov, K. S. and Turner, M. and Marcon, J. and Eichst\"adt, J. and Laughton, E. and Cantwell, C. D. and Sherwin, S. J. and Peir\'o, J. and Moxey, D.},
  title = {NekMesh: An open-source high-order mesh generation framework},
  journal = {Computer Physics Communications},
  year = {2024},
  number = {298},
  pages = {109089},
  groups = {core},
  doi = {10.1016/j.cpc.2024.109089}
}
```
High-order spectral element simulations are now becoming increasingly popular within the computational modelling community, as they offer the potential to deliver increased accuracy at reduced cost compared to traditional low-order codes. However, to support accurate, high-fidelity simulations in complex industrial applications, there is a need to generate curvilinear meshes which robustly and accurately conform to geometrical features. This is, at present, a key challenge within the mesh generation community, with only a few open-source tools able to generate curvilinear meshes for complex geometries. We present NekMesh: an open-source mesh generation package which is designed to enable the generation of valid, high-quality curvilinear meshes of complex, three-dimensional geometries for performing high-order simulations. We outline the software architecture adopted in NekMesh, which uses a pipeline of processing modules to provide a flexible, CAD-independent high-order mesh processing tool, capable of both generating meshes for a wide range of use cases, as well as post-processing linear meshes from a range of input formats for use with high-order simulations. A number of examples in various application areas are presented, with a particular emphasis on challenging aeronautical and fluid dynamics test cases.

P. Kandangwa, K. Cheng, M. Patel, S. J. Sherwin, R. de Silva and P. D. Weinberg

Relative Residence Time Can Account for Half of the Anatomical Variation in Fatty Streak Prevalence Within the Right Coronary Artery

Annals of Biomedical Engineering, 53 (1), pp. 144–157, 2024. doi 10.1007/s10439-024-03607-9

BiBTeX

@article{2024:kandangwa.cheng.ea:relative,
  author = {Kandangwa, Pratik and Cheng, Kevin and Patel, Miten and Sherwin, Spencer J. and de Silva, Ranil and Weinberg, Peter D.},
  title = {Relative Residence Time Can Account for Half of the Anatomical Variation in Fatty Streak Prevalence Within the Right Coronary Artery},
  journal = {Annals of Biomedical Engineering},
  publisher = {Springer Science and Business Media LLC},
  year = {2024},
  volume = {53},
  number = {1},
  pages = {144--157},
  groups = {sherwin},
  doi = {10.1007/s10439-024-03607-9}
}

D. Lindblad, J. Isler, M. M. Ginard, S. J. Sherwin and C. D. Cantwell
Nektar++: Development of the compressible flow solver for jet aeroacoustics
Computer Physics Communications, 300, p. 109203, 2024. doi 10.1016/j.cpc.2024.109203
BiBTeX Abstract
```
@article{2024:lindblad.isler.ea:nektar,
  author = {Lindblad, Daniel and Isler, Jo{\~a}o and Ginard, Margarida Moragues and Sherwin, Spencer J and Cantwell, Chris D},
  title = {Nektar++: Development of the compressible flow solver for jet aeroacoustics},
  journal = {Computer Physics Communications},
  year = {2024},
  volume = {300},
  pages = {109203},
  publisher = {Elsevier},
  groups = {app},
  doi = {10.1016/j.cpc.2024.109203}
}
```
A recently developed computational framework for jet noise predictions is presented. The framework consists of two main components, focusing on source prediction and noise propagation. To compute the noise sources, the turbulent jet is simulated using the compressible flow solver implemented in the open-source spectral/hp element framework Nektar++, which solves the unfiltered Navier-Stokes equations on unstructured grids using the high-order discontinuous Galerkin method. This allows high-order accuracy to be achieved on unstructured grids, which in turn is important in order to accurately simulate industrially relevant geometries. For noise propagation, the Ffowcs Williams - Hawkings method is used to propagate the noise between the jet and the far-field. The paper provides a detailed description of the computational framework, including how the different components fit together and how to use them. To demonstrate the framework, two configurations of a single stream subsonic jet are considered. In the first configuration, the jet is treated in isolation, whereas in the second configuration, it is installed under a wing. The aerodynamic results for these two jets show strong agreement with experimental data, while some discrepancies are observed in the acoustic results, which are discussed. In addition to this, we demonstrate close to linear scaling beyond 100,000 processors on the ARCHER2 supercomputer.
R. C. Moura, L. D. Fernandes, A. F. C. da Silva and S. J. Sherwin
Joint-mode diffusion analysis of spectral/hp continuous Galerin Methods: Towards superior dissipation estimates for implicit LES
Computer Methods in Applied Mechanics and Engineering, 2024. doi 10.1016/j.cma.2024.117025
BiBTeX Abstract
```
@article{2024:moura.l-d-fernandes.ea:joint-mode,
  author = {Moura, R.C. and Fernandes, L.D. and da Silva, A.F. C. and Sherwin, S. J.},
  title = {Joint-mode diffusion analysis of spectral/hp continuous Galerin Methods: Towards superior dissipation estimates for implicit LES},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  year = {2024},
  doi = {10.1016/j.cma.2024.117025},
  groups = {core}
}
```
We present a new linear eigensolution analysis technique that provides superior estimates of dissipation distribution in wavenumber space for the continuous Galerkin (CG) method. The technique builds upon traditional dispersion-diffusion analyses that have been applied to spectral/hp element methods, but in particular is an improvement upon the non-modal eigenanalysis approach proposed by Fernandez et al. (2019). The present technique takes into account the indirect effects that dispersion may have on dissipation, as recently discussed by Moura et al. (2022), in order to better represent dissipation itself. Also, a concept used by the dynamic mode decomposition (DMD) community is invoked to weight the relative contribution of the multiple diffusion curves that stem from temporal eigenanalysis. This allows for obtaining a single dissipation profile in wavenumber space, so that the proposed technique is named joint-mode analysis. Although the non-modal approach also provides a single diffusion curve, the joint-mode dissipation curve is shown to correlate significantly better with the energy spectrum of Burgers’ turbulence at large and intermediate scales, which is particularly relevant for implicit large-eddy simulation (LES). The proposed technique is readily extensible to other spectral/hp element methods.

R. C. Moura, L. D. Fernandes, A. F. C. da Silva and S. J. Sherwin

Joint-mode diffusion analysis of discontinuous Galerkin methods: Towards superior dissipation estimates for nonlinear problems and implicit LES

Journal of Computational Physics, 505, p. 112912, 2024. doi 10.1016/j.jcp.2024.112912

BiBTeX

@article{2024:moura.fernandes.ea:jointmode,
  author = {Moura, R.C. and Fernandes, L.D. and da Silva, A.F.C. and Sherwin, S.J.},
  title = {Joint-mode diffusion analysis of discontinuous Galerkin methods: Towards superior dissipation estimates for nonlinear problems and implicit LES},
  journal = {Journal of Computational Physics},
  publisher = {Elsevier BV},
  year = {2024},
  volume = {505},
  pages = {112912},
  groups = {sherwin},
  doi = {10.1016/j.jcp.2024.112912}
}

G. Vivarelli, J. A. Isler, F. Montomoli, C. Cantwell, S. J. Sherwin, Y. Frey-Marioni and R. Vazquez-Diaz
Applications and Recent Developments of the Open-Source Computational Fluid Dynamics High-Fidelity Spectral/Hp Element Framework Nektar++ for Turbomachinery Configurations
Turbo Expo: Power for Land, Sea, and Air, 88070, p. V12CT32A022, 2024. doi 10.1115/GT2024-125039
BiBTeX Abstract
```
@article{2024:vivarelli.isler.ea:applications,
  author = {Vivarelli, Guglielmo and Isler, Jo{\~a}o Anderson and Montomoli, Francesco and Cantwell, Chris and Sherwin, Spencer J and Frey-Marioni, Yuri and Vazquez-Diaz, Raul},
  title = {Applications and Recent Developments of the Open-Source Computational Fluid Dynamics High-Fidelity Spectral/Hp Element Framework Nektar++ for Turbomachinery Configurations},
  journal = {Turbo Expo: Power for Land, Sea, and Air},
  year = {2024},
  volume = {88070},
  pages = {V12CT32A022},
  publisher = {American Society of Mechanical Engineers},
  groups = {app},
  doi = {10.1115/GT2024-125039}
}
```
Reynolds-Averaged-Navier-Stokes (RANS) modelling has had a significant amount of success within the industrial setting. In fact, such techniques are used on a daily basis to compute the flow field around a broad spectrum of geometries in very different conditions. To this end, many codes have now reached a good level of maturity in terms of capabilities and robustness. However, there is a growing need for more efficient designs and higher performance. Therefore, aspects that are either challenging or impossible to capture by means of standard second-order steady discretisations are starting to become of interest. The computational hardware improvements seen over the decades and the persistent development of high-order numerical techniques, are allowing Implicit Large Eddy Simulation (iLES) if not Direct Numerical Simulation (DNS). These would allow accurate capturing of unsteady flow phenomena that can be critical to properly understand aspects such as flow separation, reattachment and transition to turbulence in components relevant to the turbomachinery community. The advantage that high-order solvers, such as Nektar++, have over their standard second-order discretisation counterpart, relates to their ability to reach higher fidelity solutions with a saving in terms of number of degrees of freedom and therefore computational cost. In this paper, a detailed introduction to the characteristics and features of the open-source high-order Nektar++ Computational Fluid Dynamics (CFD) framework will be given. An initial discussion of the numerics will be provided, therefore explaining the main features of this solver, followed by a set of different capabilities that are of interest to the turbomachinery community, such as meshing, incompressible and compressible solvers and post-processing. Examples of successful deployment of these features to jet engine components will then be presented. To start, preliminary design components, such as flat plates with different loadings will be discussed. In these cases, the effects of adverse and favourable pressure gradients representative of those seen on modern engine intakes and fan blades, respectively, on boundary layers will be studied. Following, a description on low and high pressure turbine components will be provided with a discussion relating to the relevant experimental comparison. Finally, future developments and improvements to the code will be detailed, such as new schemes and interfaces to hardware enhancements, i.e. Graphical Processing Units.

2023

M. Arshad, S. Cheng, M. van Reeuwijk, S. J. Sherwin and P. D. Weinberg

Modification of the swirling well cell culture model to alter shear stress metrics

Biotechnology and Bioengineering, 120 (5), pp. 1254–1268, 2023. doi 10.1002/bit.28331

BiBTeX

@article{2023:arshad.cheng.ea:modification,
  author = {Arshad, Mehwish and Cheng, Shuyu and van Reeuwijk, Maarten and Sherwin, Spencer J. and Weinberg, Peter D.},
  title = {Modification of the swirling well cell culture model to alter shear stress metrics},
  journal = {Biotechnology and Bioengineering},
  publisher = {Wiley},
  year = {2023},
  volume = {120},
  number = {5},
  pages = {1254--1268},
  groups = {sherwin},
  doi = {10.1002/bit.28331}
}

A.-K. Gao, C. D. Cantwell, O. Son and S. J. Sherwin
Three-dimensional transition and force characteristics of low-Reynolds-number flows past a plunging airfoil
Journal of Fluid Mechanics, 973, p. A43, 2023. doi 10.1017/jfm.2023.735
BiBTeX Abstract
```
@article{2023:gao.cantwell.ea:three-dimensional,
  author = {Gao, An-Kang and Cantwell, Chris D and Son, Onur and Sherwin, Spencer J},
  title = {Three-dimensional transition and force characteristics of low-Reynolds-number flows past a plunging airfoil},
  journal = {Journal of Fluid Mechanics},
  year = {2023},
  volume = {973},
  pages = {A43},
  publisher = {Cambridge University Press},
  groups = {app},
  doi = {10.1017/jfm.2023.735}
}
```
The three-dimensional (3-D) transition of the leading-edge vortex (LEV) and the force characteristics of the plunging airfoil are investigated in the chord-based Strouhal number St_c range of 0.10 to 1.0 by means of experimental measurements, numerical simulations and linear stability analysis in order to understand the spanwise instabilities and the effects on the force. We find that the interaction pattern of the LEV, the LEV from a previous cycle (pLEV) and the trailing-edge vortex (TEV) is the primary mechanism that affects the 3-D transition and associated force characteristics. For St_c≤0.16, the 3-D transition is dominated by the LEV-TEV interaction. For 0.16<St_c≤0.44, the TEV lies in the middle of the LEV and the pLEV and therefore vortex interaction between them is relatively weak; as a result, the LEV remains two-dimensional up to a relatively high Reynolds number of Re=4000 at St_c=0.32. For 0.44<St_c≤0.54, and at relatively low Reynolds numbers, the pLEV and the TEV tend to form a clockwise vortex pair, which is beneficial for the high lift and stability of the LEV. For 0.49\leqSt_c, the pLEV and TEV tend to form an anticlockwise vortex pair, which is detrimental to the lift and flow stability. In the last St_c$ range, vortex interaction involving the LEV, the TEV and the pLEV results in an unstable period-doubling mode which has a wavelength of about two chord-lengths and the 3-D transition enhances the lift.
M. Lahooti, Y. Bao, D. Scott, R. Palacios and S. J. Sherwin
LES/DNS fluid-structure interaction simulation of non-linear slender structures in Nektar++ framework
Computer Physics Communications, 282, p. 108528, 2023. doi 10.1016/j.cpc.2022.108528
BiBTeX Abstract
```
@article{2023:lahooti.bao.ea:lesdns,
  author = {Lahooti, Mohsen and Bao, Yan and Scott, David and Palacios, Rafael and Sherwin, Spencer J},
  title = {{LES/DNS} fluid-structure interaction simulation of non-linear slender structures in {Nektar++} framework},
  journal = {Computer Physics Communications},
  year = {2023},
  volume = {282},
  pages = {108528},
  publisher = {Elsevier},
  groups = {app},
  doi = {10.1016/j.cpc.2022.108528}
}
```
Nektar++ is a spectral/hp element open-source framework written in C++ for the construction of classical low-order h-type as well as higher-order p-type finite element solvers. It seeks to overcome the implementation challenges of the complex data structures associated with high-order finite element methods; hence, providing an efficient, flexible and HPC scalable platform for the development of solvers for partial differential equations using the spectral/hp element method. In the present work, capabilities of Nektar++ is leveraged for development of two fluid-structure interaction (FSI) solvers for simulations of highly deformable nonlinear slender structures. The FSI solver uses the incompressible Navier-Stokes (NS) solvers of Nektar++ for fluid flow while the structural dynamics is modelled using Geometrically-Exact Composite Beams (GECB). The open-source SHARPy framework is linked to Nektar++ and used for structural simulation. Aiming at high-fidelity (LES/DNS) FSI simulations, the thick-strip approach is used to reduce computational costs. In this approach, the full 3D fluid domain is represented with series of smaller 3D domains normal to the local axis of the structure and having a finite thickness in the spanwise direction where periodicity is also assumed. Hence, while reducing the computational costs by avoiding the discretization of equations over the entire slender structure, the strip thickness allows capturing the local 3D turbulent wake and accurately predict the fluid forces on the structure. Two approaches are adopted to avoid the dynamic remeshing due to the large and non-linear deformation of the structure. In the first approach, the transformed the NS equations are solved in the non-inertial body-fitted coordinates while in the second approach the NS equations are formulated in the moving frame of reference and solved with the spectral/hp element method. A hybrid parallelisation approach of Nektar++ is extended for the thick-strip method which allows having non-constant cross-section along the structural span as well as efficient and flexible use of computational resources, and excellent HPC performance for the FSI simulations. The capability of the FSI solver is demonstrated via several examples.
D. Lindblad, J. Isler, M. Moragues, S. J. Sherwin and C. D. Cantwell
Nektar++: Development of the Compressible Flow Solver for Large Scale Aeroacoustic Applications
2023. doi 10.1016/j.cpc.2024.109203
BiBTeX Abstract
```
@article{2023:lindblad.isler.ea:nektar,
  author = {Lindblad, D and Isler, J and Moragues, M and Sherwin, SJ and Cantwell, C. D.},
  title = {{Nektar++}: {Development} of the Compressible Flow Solver for Large Scale Aeroacoustic Applications},
  year = {2023},
  doi = {10.1016/j.cpc.2024.109203},
  groups = {app}
}
```
A recently developed computational framework for jet noise predictions is presented. The framework consists of two main components, focusing on source prediction and noise propagation. To compute the noise sources, the turbulent jet is simulated using the compressible flow solver implemented in the open-source spectral/hp element framework Nektar++, which solves the unfiltered Navier-Stokes equations on unstructured grids using the high-order discontinuous Galerkin method. This allows high-order accuracy to be achieved on unstructured grids, which in turn is important in order to accurately simulate industrially relevant geometries. For noise propagation, the Ffowcs Williams - Hawkings method is used to propagate the noise between the jet and the far-field. The paper provides a detailed description of the computational framework, including how the different components fit together and how to use them. To demonstrate the framework, two configurations of a single stream subsonic jet are considered. In the first configuration, the jet is treated in isolation, whereas in the second configuration, it is installed under a wing. The aerodynamic results for these two jets show strong agreement with experimental data, while some discrepancies are observed in the acoustic results, which are discussed. In addition to this, we demonstrate close to linear scaling beyond processors on the ARCHER2 supercomputer.

G. Lyu, C. Chen, X. Du and S. J. Sherwin

Stable, entropy-pressure compatible subsonic Riemann boundary condition for embedded DG compressible flow simulations

Journal of Computational Physics, 476, p. 111896, 2023. doi 10.1016/j.jcp.2022.111896

BiBTeX

@article{2023:lyu.chen.ea:stable,
  author = {Lyu, Ganlin and Chen, Chao and Du, Xi and Sherwin, Spencer J.},
  title = {Stable, entropy-pressure compatible subsonic Riemann boundary condition for embedded DG compressible flow simulations},
  journal = {Journal of Computational Physics},
  publisher = {Elsevier BV},
  year = {2023},
  volume = {476},
  pages = {111896},
  groups = {sherwin},
  doi = {10.1016/j.jcp.2022.111896}
}

J. Slaughter, D. Moxey and S. Sherwin

Large Eddy Simulation of an Inverted Multi-element Wing in Ground Effect

Flow, Turbulence and Combustion, 110 (4), pp. 917–944, 2023. doi 10.1007/s10494-023-00404-7

BiBTeX

@article{2023:slaughter.moxey.ea:large,
  author = {Slaughter, James and Moxey, David and Sherwin, Spencer},
  title = {Large Eddy Simulation of an Inverted Multi-element Wing in Ground Effect},
  journal = {Flow, Turbulence and Combustion},
  publisher = {Springer Science and Business Media LLC},
  year = {2023},
  volume = {110},
  number = {4},
  pages = {917--944},
  groups = {sherwin},
  doi = {10.1007/s10494-023-00404-7}
}

2022

F. F. Buscariolo, J. Hoessler, D. Moxey, A. Jassim, K. Gouder, J. Basley, Y. Murai, G. R. S. Assi and S. J. Sherwin

Spectral/hp element simulation of flow past a Formula One front wing: Validation against experiments

Journal of Wind Engineering and Industrial Aerodynamics, 221, p. 104832, 2022. doi 10.1016/j.jweia.2021.104832

BiBTeX

@article{2022:buscariolo.hoessler.ea:spectralhp,
  author = {Buscariolo, Filipe F. and Hoessler, Julien and Moxey, David and Jassim, Ayad and Gouder, Kevin and Basley, Jeremy and Murai, Yushi and Assi, Gustavo R.S. and Sherwin, Spencer J.},
  title = {Spectral/hp element simulation of flow past a Formula One front wing: Validation against experiments},
  journal = {Journal of Wind Engineering and Industrial Aerodynamics},
  publisher = {Elsevier BV},
  year = {2022},
  volume = {221},
  pages = {104832},
  groups = {sherwin},
  doi = {10.1016/j.jweia.2021.104832}
}

A. Cassinelli, A. Mateo Gabín, F. Montomoli, P. Adami, R. Vázquez Díaz and S. J. Sherwin

Reynolds Sensitivity of the Wake Passing Effect on a LPT Cascade Using Spectral/hp Element Methods

International Journal of Turbomachinery, Propulsion and Power, 7 (1), p. 8, 2022. doi 10.3390/ijtpp7010008

BiBTeX

@article{2022:cassinelli.mateogabin.ea:reynolds,
  author = {Cassinelli, Andrea and Mateo Gabín, Andrés and Montomoli, Francesco and Adami, Paolo and Vázquez Díaz, Raul and Sherwin, Spencer J.},
  title = {Reynolds Sensitivity of the Wake Passing Effect on a LPT Cascade Using Spectral/hp Element Methods},
  journal = {International Journal of Turbomachinery, Propulsion and Power},
  publisher = {MDPI AG},
  year = {2022},
  volume = {7},
  number = {1},
  pages = {8},
  groups = {sherwin},
  doi = {10.3390/ijtpp7010008}
}

S. Chun, J. Marcon, J. Peiró and S. J. Sherwin

Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain

Computer Methods in Applied Mechanics and Engineering, 398, p. 115261, 2022. doi 10.1016/j.cma.2022.115261

BiBTeX

@article{2022:chun.marcon.ea:reducing,
  author = {Chun, Sehun and Marcon, Julian and Peiró, Joaquim and Sherwin, Spencer J.},
  title = {Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  publisher = {Elsevier BV},
  year = {2022},
  volume = {398},
  pages = {115261},
  groups = {sherwin},
  doi = {10.1016/j.cma.2022.115261}
}

W. Hambli, J. Slaughter, F. F. Buscariolo and S. Sherwin

Extension of Spectral/hp Element Methods towards Robust Large-Eddy Simulation of Industrial Automotive Geometries

Fluids, 7 (3), p. 106, 2022. doi 10.3390/fluids7030106

BiBTeX

@article{2022:hambli.slaughter.ea:extension,
  author = {Hambli, Walid and Slaughter, James and Buscariolo, Filipe Fabian and Sherwin, Spencer},
  title = {Extension of Spectral/hp Element Methods towards Robust Large-Eddy Simulation of Industrial Automotive Geometries},
  journal = {Fluids},
  publisher = {MDPI AG},
  year = {2022},
  volume = {7},
  number = {3},
  pages = {106},
  groups = {sherwin},
  doi = {10.3390/fluids7030106}
}

P. Kandangwa, R. Torii, P. D. Gatehouse, S. J. Sherwin and P. D. Weinberg

Influence of right coronary artery motion, flow pulsatility and non-Newtonian rheology on wall shear stress metrics

Frontiers in Bioengineering and Biotechnology, 10, 2022. doi 10.3389/fbioe.2022.962687

BiBTeX

@article{2022:kandangwa.torii.ea:influence,
  author = {Kandangwa, Pratik and Torii, Ryo and Gatehouse, Peter D. and Sherwin, Spencer J. and Weinberg, Peter D.},
  title = {Influence of right coronary artery motion, flow pulsatility and non-Newtonian rheology on wall shear stress metrics},
  journal = {Frontiers in Bioengineering and Biotechnology},
  publisher = {Frontiers Media SA},
  year = {2022},
  volume = {10},
  groups = {sherwin},
  doi = {10.3389/fbioe.2022.962687}
}

R. C. Moura, L. D. Fernandes, A. F. C. Silva, G. Mengaldo and S. J. Sherwin

Spectral/hp element methods’ linear mechanism of (apparent) energy transfer in Fourier space: Insights into dispersion analysis for implicit LES

Journal of Computational Physics, 471, p. 111613, 2022. doi 10.1016/j.jcp.2022.111613

BiBTeX

@article{2022:moura.fernandes.ea:spectralhp,
  author = {Moura, R.C. and Fernandes, L.D. and Silva, A.F.C. and Mengaldo, G. and Sherwin, S.J.},
  title = {Spectral/hp element methods' linear mechanism of (apparent) energy transfer in Fourier space: Insights into dispersion analysis for implicit LES},
  journal = {Journal of Computational Physics},
  publisher = {Elsevier BV},
  year = {2022},
  volume = {471},
  pages = {111613},
  groups = {sherwin},
  doi = {10.1016/j.jcp.2022.111613}
}

R. C. Moura, A. Cassinelli, A. F. C. da Silva, E. Burman and S. J. Sherwin

Gradient jump penalty stabilisation of spectral/hp element discretisation for under-resolved turbulence simulations

Computer Methods in Applied Mechanics and Engineering, 388, p. 114200, 2022. doi 10.1016/j.cma.2021.114200

BiBTeX

@article{2022:moura.cassinelli.ea:gradient,
  author = {Moura, Rodrigo C. and Cassinelli, Andrea and da Silva, André F.C. and Burman, Erik and Sherwin, Spencer J.},
  title = {Gradient jump penalty stabilisation of spectral/hp element discretisation for under-resolved turbulence simulations},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  publisher = {Elsevier BV},
  year = {2022},
  volume = {388},
  pages = {114200},
  groups = {sherwin},
  doi = {10.1016/j.cma.2021.114200}
}

O. Son, A.-K. Gao, I. Gursul, C. D. Cantwell, Z. Wang and S. J. Sherwin

Leading-Edge Vortex Dynamics on Plunging Airfoils and Wings

Journal of Fluid Mechanics, 940, p. A28, 2022. doi 10.1017/jfm.2022.224

BiBTeX

@article{2022:son.gao.ea:leading-edge,
  author = {Son, O. and Gao, A.-K. and Gursul, I. and Cantwell, C.D. and Wang, Z. and Sherwin, S.J.},
  title = {Leading-Edge Vortex Dynamics on Plunging Airfoils and Wings},
  journal = {Journal of Fluid Mechanics},
  year = {2022},
  volume = {940},
  pages = {A28},
  groups = {app},
  doi = {10.1017/jfm.2022.224}
}

H. Xu, G. Tu and S. J. Sherwin

Theoretical advances and applications of high-fidelity computation and modelling in fluid dynamics

Computers & Fluids, 241, p. 105492, 2022. doi 10.1016/j.compfluid.2022.105492

BiBTeX

@article{2022:xu.tu.ea:theoretical,
  author = {Xu, Hui and Tu, Guohua and Sherwin, Spencer J.},
  title = {Theoretical advances and applications of high-fidelity computation and modelling in fluid dynamics},
  journal = {Computers & Fluids},
  publisher = {Elsevier BV},
  year = {2022},
  volume = {241},
  pages = {105492},
  groups = {sherwin},
  doi = {10.1016/j.compfluid.2022.105492}
}

2021

M. Arshad, M. Ghim, Y. Mohamied, S. J. Sherwin and P. D. Weinberg

Endothelial cells do not align with the mean wall shear stress vector

Journal of The Royal Society Interface, 18 (174), p. 20200772, 2021. doi 10.1098/rsif.2020.0772

BiBTeX

@article{2021:arshad.ghim.ea:endothelial,
  author = {Arshad, Mehwish and Ghim, Mean and Mohamied, Yumnah and Sherwin, Spencer J. and Weinberg, Peter D.},
  title = {Endothelial cells do not align with the mean wall shear stress vector},
  journal = {Journal of The Royal Society Interface},
  publisher = {The Royal Society},
  year = {2021},
  volume = {18},
  number = {174},
  pages = {20200772},
  groups = {sherwin},
  doi = {10.1098/rsif.2020.0772}
}

M. Arshad, E. M. Rowland, K. Riemer, S. J. Sherwin and P. D. Weinberg

Improvement and validation of a computational model of flow in the swirling well cell culture model

Biotechnology and Bioengineering, 119 (1), pp. 72–88, 2021. doi 10.1002/bit.27951

BiBTeX

@article{2021:arshad.rowland.ea:improvement,
  author = {Arshad, Mehwish and Rowland, Ethan M. and Riemer, Kai and Sherwin, Spencer J. and Weinberg, Peter D.},
  title = {Improvement and validation of a computational model of flow in the swirling well cell culture model},
  journal = {Biotechnology and Bioengineering},
  publisher = {Wiley},
  year = {2021},
  volume = {119},
  number = {1},
  pages = {72--88},
  groups = {sherwin},
  doi = {10.1002/bit.27951}
}

R. L. G. Basso, Y. Hwang, G. R. S. Assi and S. J. Sherwin

Instabilities and sensitivities in a flow over a rotationally flexible cylinder with a rigid splitter plate

Journal of Fluid Mechanics, 928, 2021. doi 10.1017/jfm.2021.830

BiBTeX

@article{2021:basso.hwang.ea:instabilities,
  author = {Basso, R.L.G. and Hwang, Y. and Assi, G.R.S. and Sherwin, S.J.},
  title = {Instabilities and sensitivities in a flow over a rotationally flexible cylinder with a rigid splitter plate},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2021},
  volume = {928},
  groups = {sherwin},
  doi = {10.1017/jfm.2021.830}
}

F. F. Buscariolo, G. R. S. Assi and S. J. Sherwin

Computational study on an Ahmed Body equipped with simplified underbody diffuser

Journal of Wind Engineering and Industrial Aerodynamics, 209, p. 104411, 2021. doi 10.1016/j.jweia.2020.104411

BiBTeX

@article{2021:buscariolo.assi.ea:computational,
  author = {Buscariolo, Filipe F. and Assi, Gustavo R.S. and Sherwin, Spencer J.},
  title = {Computational study on an Ahmed Body equipped with simplified underbody diffuser},
  journal = {Journal of Wind Engineering and Industrial Aerodynamics},
  publisher = {Elsevier BV},
  year = {2021},
  volume = {209},
  pages = {104411},
  groups = {sherwin},
  doi = {10.1016/j.jweia.2020.104411}
}

M. Z. Hossain, C. D. Cantwell and S. J. Sherwin
A spectral/hp element method for thermal convection
International Journal for Numerical Methods in Fluids, 93 (7), pp. 2380–2395, 2021. doi 10.1002/fld.4978
BiBTeX Abstract
```
@article{2021:hossain.cantwell.ea:spectralhp,
  author = {Hossain, Mohammad Z and Cantwell, Chris D and Sherwin, Spencer J},
  title = {A spectral/$hp$ element method for thermal convection},
  journal = {International Journal for Numerical Methods in Fluids},
  year = {2021},
  volume = {93},
  number = {7},
  pages = {2380--2395},
  publisher = {Wiley Online Library},
  groups = {app},
  doi = {10.1002/fld.4978}
}
```
We report on a high-fidelity, spectral/hp element algorithm developed for the direct numerical simulation of thermal convection problems. We consider the incompressible Navier-Stokes (NS) and advection-diffusion equations coupled through a thermal body-forcing term. The flow is driven by a prescribed flowrate forcing with explicit treatment of the nonlinear advection terms. The explicit treatment of the body-force term also decouples both the NS and the advection-diffusion equations. The problem is then temporally discretized using an implicit-explicit scheme in conjunction with a velocity-correction splitting scheme to decouple the velocity and pressure fields in the momentum equation. Although not unique, this type of discretization has not been widely applied to thermal convection problems and we therefore provide a comprehensive overview of the algorithm and implementation which is available through the open-source package Nektar++. After verifying the algorithm on a number of illustrative problems we then apply the code to investigate flow in a channel with uniform or streamwise sinusoidal lower wall, in addition to a patterned sinusoidal heating. We verify the solver against previously published two-dimensional results. Finally, for the first time we consider a three-dimensional problem with a streamwise sinusoidal lower wall and sinusoidal heating which, for the chosen parameter, leads to the unusual dynamics of an initially unsteady two-dimensional instability leading to a steady three-dimensional nonlinear saturated state.

J. Mariscal-Harana, P. H. Charlton, S. Vennin, J. Aramburu, M. C. Florkow, A. van Engelen, T. Schneider, H. de Bliek, B. Ruijsink, I. Valverde, P. Beerbaum, H. Grotenhuis, M. Charakida, P. Chowienczyk, S. J. Sherwin and J. Alastruey

Estimating central blood pressure from aortic flow: development and assessment of algorithms

American Journal of Physiology-Heart and Circulatory Physiology, 320 (2), pp. H494–H510, 2021. doi 10.1152/ajpheart.00241.2020

BiBTeX

@article{2021:mariscalharana.charlton.ea:estimating,
  author = {Mariscal-Harana, Jorge and Charlton, Peter H. and Vennin, Samuel and Aramburu, Jorge and Florkow, Mateusz Cezary and van Engelen, Arna and Schneider, Torben and de Bliek, Hubrecht and Ruijsink, Bram and Valverde, Israel and Beerbaum, Philipp and Grotenhuis, Heynric and Charakida, Marietta and Chowienczyk, Phil and Sherwin, Spencer J. and Alastruey, Jordi},
  title = {Estimating central blood pressure from aortic flow: development and assessment of algorithms},
  journal = {American Journal of Physiology-Heart and Circulatory Physiology},
  publisher = {American Physiological Society},
  year = {2021},
  volume = {320},
  number = {2},
  pages = {H494--H510},
  groups = {sherwin},
  doi = {10.1152/ajpheart.00241.2020}
}

G. Mengaldo, D. Moxey, M. Turner, R. C. Moura, A. Jassim, M. Taylor, J. Peiró and S. Sherwin

Industry-Relevant Implicit Large-Eddy Simulation of a High-Performance Road Car via Spectral/ hp Element Methods

SIAM Review, 63 (4), pp. 723–755, 2021. doi 10.1137/20m1345359

BiBTeX

@article{2021:mengaldo.moxey.ea:industryrelevant,
  author = {Mengaldo, Gianmarco and Moxey, David and Turner, Michael and Moura, Rodrigo Costa and Jassim, Ayad and Taylor, Mark and Peiró, Joaquim and Sherwin, Spencer},
  title = {Industry-Relevant Implicit Large-Eddy Simulation of a High-Performance Road Car via Spectral/ hp Element Methods},
  journal = {SIAM Review},
  publisher = {Society for Industrial & Applied Mathematics (SIAM)},
  year = {2021},
  volume = {63},
  number = {4},
  pages = {723--755},
  groups = {sherwin},
  doi = {10.1137/20m1345359}
}

Y. Pan, Z.-G. Yan, J. Peiró and S. J. Sherwin

Development of a Balanced Adaptive Time-Stepping Strategy Based on an Implicit JFNK-DG Compressible Flow Solver

Communications on Applied Mathematics and Computation, 4 (2), pp. 728–757, 2021. doi 10.1007/s42967-021-00138-1

BiBTeX

@article{2021:pan.yan.ea:development,
  author = {Pan, Yu and Yan, Zhen-Guo and Peiró, Joaquim and Sherwin, Spencer J.},
  title = {Development of a Balanced Adaptive Time-Stepping Strategy Based on an Implicit JFNK-DG Compressible Flow Solver},
  journal = {Communications on Applied Mathematics and Computation},
  publisher = {Springer Science and Business Media LLC},
  year = {2021},
  volume = {4},
  number = {2},
  pages = {728--757},
  groups = {sherwin},
  doi = {10.1007/s42967-021-00138-1}
}

R. M. Reavette, S. J. Sherwin, M.-X. Tang and P. D. Weinberg

Wave Intensity Analysis Combined With Machine Learning can Detect Impaired Stroke Volume in Simulations of Heart Failure

Frontiers in Bioengineering and Biotechnology, 9, 2021. doi 10.3389/fbioe.2021.737055

BiBTeX

@article{2021:reavette.sherwin.ea:wave,
  author = {Reavette, Ryan M. and Sherwin, Spencer J. and Tang, Meng-Xing and Weinberg, Peter D.},
  title = {Wave Intensity Analysis Combined With Machine Learning can Detect Impaired Stroke Volume in Simulations of Heart Failure},
  journal = {Frontiers in Bioengineering and Biotechnology},
  publisher = {Frontiers Media SA},
  year = {2021},
  volume = {9},
  groups = {sherwin},
  doi = {10.3389/fbioe.2021.737055}
}

R. Wang, F. Wu, H. Xu and S. J. Sherwin

Implicit large-eddy simulations of turbulent flow in a channel via spectral/hp element methods

Physics of Fluids, 33 (3), 2021. doi 10.1063/5.0040845

BiBTeX

@article{2021:wang.wu.ea:implicit,
  author = {Wang, Rui and Wu, Feng and Xu, Hui and Sherwin, Spencer J.},
  title = {Implicit large-eddy simulations of turbulent flow in a channel via spectral/hp element methods},
  journal = {Physics of Fluids},
  publisher = {AIP Publishing},
  year = {2021},
  volume = {33},
  number = {3},
  groups = {sherwin},
  doi = {10.1063/5.0040845}
}

Z.-G. Yan, Y. Pan, G. Castiglioni, K. Hillewaert, J. Peiró, D. Moxey and S. J. Sherwin
Nektar++: Design and implementation of an implicit, spectral/hp element, compressible flow solver using a Jacobian-free Newton Krylov approach
Computers & Mathematics with Applications, 81, pp. 351–372, 2021. doi 10.1016/j.camwa.2020.03.009
BiBTeX Abstract
```
@article{2021:yan.pan.ea:nektar,
  author = {Yan, Zhen-Guo and Pan, Yu and Castiglioni, Giacomo and Hillewaert, Koen and Peir{\'o}, Joaquim and Moxey, David and Sherwin, Spencer J},
  title = {Nektar++: Design and implementation of an implicit, spectral/hp element, compressible flow solver using a Jacobian-free Newton Krylov approach},
  journal = {Computers \& Mathematics with Applications},
  year = {2021},
  volume = {81},
  pages = {351--372},
  publisher = {Elsevier},
  groups = {core},
  doi = {10.1016/j.camwa.2020.03.009}
}
```
At high Reynolds numbers the use of explicit in time compressible flow simulations with spectral/ element discretization can become significantly limited by time step. To alleviate this limitation we extend the capability of the spectral/ element open-source software framework, Nektar++, to include an implicit discontinuous Galerkin compressible flow solver. The integration in time is carried out by a singly diagonally implicit Runge-Kutta method. The non-linear system arising from the implicit time integration is iteratively solved by the Jacobian-free Newton Krylov (JFNK) method. A favorable feature of the JFNK approach is its extensive use of the explicit operators available from the previous explicit in time implementation. The functionalities of different building blocks of the implicit solver are analyzed from the point of view of software design and placed in appropriate hierarchical levels in the C++ libraries. In the detailed implementation, the contributions of different parts of the solver to computational cost, memory consumption and programming complexity are also analyzed. A combination of analytical and numerical methods is adopted to simplify the programming complexity in forming the preconditioning matrix. The solver is verified and tested using cases such as manufactured compressible Poiseuille flow, Taylor-Green vortex, turbulent flow over a circular cylinder at Re=3900 and shock wave boundary-layer interaction. The results show that the implicit solver can speed-up the simulations while maintaining good simulation accuracy.

2020

F. F. Buscariolo, W. Hambli, J. Slaughter and S. Sherwin
Using a spectral/hp element method for high-order implicit-LES of bluff automotive geometries
2020. doi 10.17028/rd.lboro.12102594.v1
BiBTeX Abstract
```
@article{2020:buscariolo.hambli.ea:using,
  author = {Buscariolo, Filipe Fabian and Hambli, Walid and Slaughter, James and Sherwin, Spencer},
  title = {Using a spectral/$hp$ element method for high-order implicit-{LES} of bluff automotive geometries},
  year = {2020},
  publisher = {Loughborough University},
  groups = {app},
  doi = {10.17028/rd.lboro.12102594.v1}
}
```
The combination of High-order methods and Large-Eddy Simulation (LES) is an ongoing research focus in turbulence due to the attractive dissipation characteristics of high-order methods. Whilst numerically speaking these methodologies are advantageous, their application is inhibited on industrial cases due to the inherent geometric complexities of such problems. Spectral/hp Element (SEM) solvers such as Nektar++, have potential to be bridge the gap between high-order methods and industrial geometric complexity. This study focuses on the intersection of the application of the SEM solver Nektar++ to an automotive geometry as well as the presentation of high-order mean flow characteristics for the SAE Notchback body. Using a 5th order polynomial expansion at Re_L = 2.3 × 10⁶ on a curvilinear grid, results are compared with those empirically achieved in other works. Implicit Sub-Grid scale modelling along with a novel Spectral-Vanishing Viscosity (SVV) approach is employed acting as an artificial diffusion operator preventing high-frequency instabilities and spurious oscillations. Suitable qualitative agreement between PIV and CFD methods is obtained, and quantitative agreement is demonstrated on CD with 9% difference. More extensive backlight separation and subsequent bootlid impingement is observed in CFD than presented in the literature. This might be caused due to differing inflow characteristics, resulting in CM and CL variance to experimental values. Along with the mean flow field characteristics, the methodology and the pipeline used to achieve such results and agreement is presented. The use of a wall-conforming unstructured curvilinear grid allows for significantly greater geometric flexibility whilst retaining the advantages of the high-order polynomial expansion.

M. Ghim, P. Alpresa, S. W. Yang, S. T. Braakman, S. G. Gray, S. J. Sherwin, M. van Reeuwijk and P. D. Weinberg

Corrigendum

American Journal of Physiology-Heart and Circulatory Physiology, 319 (2), pp. H359–H359, 2020. doi 10.1152/ajpheart.zh4-3151-corr.2020

BiBTeX

@article{2020:ghim.alpresa.ea:corrigendum,
  author = {Ghim, M and Alpresa, P and Yang, S W and Braakman, S T and Gray, S G and Sherwin, S J and Reeuwijk, M van and Weinberg, P D},
  title = {Corrigendum},
  journal = {American Journal of Physiology-Heart and Circulatory Physiology},
  publisher = {American Physiological Society},
  year = {2020},
  volume = {319},
  number = {2},
  pages = {H359--H359},
  groups = {sherwin},
  doi = {10.1152/ajpheart.zh4-3151-corr.2020}
}

J. Marcon, G. Castiglioni, D. Moxey, S. J. Sherwin and J. Peiró

rp-adaptation for compressible flows

International Journal for Numerical Methods in Engineering, 121 (23), pp. 5405–5425, 2020. doi 10.1002/nme.6529

BiBTeX

@article{2020:marcon.castiglioni.ea:rpadaptation,
  author = {Marcon, Julian and Castiglioni, Giacomo and Moxey, David and Sherwin, Spencer J. and Peiró, Joaquim},
  title = {rp-adaptation for compressible flows},
  journal = {International Journal for Numerical Methods in Engineering},
  publisher = {Wiley},
  year = {2020},
  volume = {121},
  number = {23},
  pages = {5405--5425},
  groups = {sherwin},
  doi = {10.1002/nme.6529}
}

R. C. Moura, M. Aman, J. Peiró and S. J. Sherwin

Spatial eigenanalysis of spectral/hp continuous Galerkin schemes and their stabilisation via DG-mimicking spectral vanishing viscosity for high Reynolds number flows

Journal of Computational Physics, 406, p. 109112, 2020. doi 10.1016/j.jcp.2019.109112

BiBTeX

@article{2020:moura.aman.ea:spatial,
  author = {Moura, Rodrigo C. and Aman, Mansoor and Peiró, Joaquim and Sherwin, Spencer J.},
  title = {Spatial eigenanalysis of spectral/hp continuous Galerkin schemes and their stabilisation via DG-mimicking spectral vanishing viscosity for high Reynolds number flows},
  journal = {Journal of Computational Physics},
  publisher = {Elsevier BV},
  year = {2020},
  volume = {406},
  pages = {109112},
  groups = {sherwin},
  doi = {10.1016/j.jcp.2019.109112}
}

D. Moxey, C. D. Cantwell, Y. Bao, A. Cassinelli, G. Castiglioni, S. Chun, E. Juda, E. Kazemi, K. Lackhove, J. Marcon, G. Mengaldo, D. Serson, M. Turner, H. Xu, J. Peiró, R. M. Kirby and S. J. Sherwin
\emphNektar++: enhancing the capability and application of high-fidelity spectral/hp element methods
Computer Physics Communications, 249, p. 107110, 2020. doi 10.1016/j.cpc.2019.107110
BiBTeX Abstract
```
@article{2020:moxey.cantwell.ea:nektar,
  author = {Moxey, D. and Cantwell, C. D. and Bao, Y. and Cassinelli, A. and Castiglioni, G. and Chun, S. and Juda, E. and Kazemi, E. and Lackhove, K. and Marcon, J. and Mengaldo, G. and Serson, D. and Turner, M. and Xu, H. and Peir\'o, J. and Kirby, R. M. and Sherwin, S. J.},
  title = {\emph{Nektar++}: enhancing the capability and application of high-fidelity spectral/$hp$ element methods},
  journal = {Computer Physics Communications},
  year = {2020},
  volume = {249},
  pages = {107110},
  doi = {10.1016/j.cpc.2019.107110},
  groups = {core}
}
```
\emphNektar++ is an open-source framework that provides a flexible, performant and scalable platform for the development of solvers for partial differential equations using the high-order spectral/hp element method. In particular, \emphNektar++ aims to overcome the complex implementation challenges that are often associated with high-order methods, thereby allowing them to be more readily used in a wide range of application areas. In this paper, we present the algorithmic, implementation and application developments associated with our \emphNektar++ version 5.0 release. We describe some of the key software and performance developments, including our strategies on parallel I/O, on \emphin situ processing, the use of collective operations for exploiting current and emerging hardware, and interfaces to enable multi-solver coupling. Furthermore, we provide details on a newly developed Python interface that enable more rapid on-boarding of new users unfamiliar with spectral/hp element methods, C++ and/or \emphNektar++. This release also incorporates a number of numerical method developments – in particular: the method of moving frames (MMF), which provides an additional approach for the simulation of equations on embedded curvilinear manifolds and domains; a means of handling spatially variable polynomial order; and a novel technique for quasi-3D simulations (which combine a 2D spectral element and 1D Fourier spectral method) to permit spatially-varying perturbations to the geometry in the homogeneous direction. Finally, we demonstrate the new application-level features provided in this release, namely: a facility for generating high-order curvilinear meshes called \emphNekMesh; a novel new \emphAcousticSolver for aeroacoustic problems; our development of a ‘thick’ strip model for the modelling of fluid-structure interaction (FSI) problems in the context of vortex-induced vibrations (VIV). We conclude by commenting on some lessons learned and by discussing some directions for future code development and expansion.

R. M. Reavette, S. J. Sherwin, M. Tang and P. D. Weinberg

Comparison of arterial wave intensity analysis by pressure–velocity and diameter–velocity methods in a virtual population of adult subjects

Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 234 (11), pp. 1260–1276, 2020. doi 10.1177/0954411920926094

BiBTeX

@article{2020:reavette.sherwin.ea:comparison,
  author = {Reavette, Ryan M and Sherwin, Spencer J and Tang, Mengxing and Weinberg, Peter D},
  title = {Comparison of arterial wave intensity analysis by pressure--velocity and diameter--velocity methods in a virtual population of adult subjects},
  journal = {Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine},
  publisher = {SAGE Publications},
  year = {2020},
  volume = {234},
  number = {11},
  pages = {1260--1276},
  groups = {sherwin},
  doi = {10.1177/0954411920926094}
}

2019

Y. Bao, H. B. Zhu, P. Huan, R. Wang, D. Zhou, Z. L. Han, R. Palacios, M. Graham and S. Sherwin

Numerical prediction of vortex-induced vibration of flexible riser with thick strip method

Journal of Fluids and Structures, 89, pp. 166–173, 2019. doi 10.1016/j.jfluidstructs.2019.02.010

BiBTeX

@article{2019:bao.zhu.ea:numerical,
  author = {Bao, Y. and Zhu, H.B. and Huan, P. and Wang, R. and Zhou, D. and Han, Z.L. and Palacios, R. and Graham, M. and Sherwin, S.},
  title = {Numerical prediction of vortex-induced vibration of flexible riser with thick strip method},
  journal = {Journal of Fluids and Structures},
  publisher = {Elsevier BV},
  year = {2019},
  volume = {89},
  pages = {166--173},
  groups = {sherwin},
  doi = {10.1016/j.jfluidstructs.2019.02.010}
}

A. N. Cookson, D. J. Doorly and S. J. Sherwin

Efficiently Generating Mixing by Combining Differing Small Amplitude Helical Geometries

Fluids, 4 (2), p. 59, 2019. doi 10.3390/fluids4020059

BiBTeX

@article{2019:cookson.doorly.ea:efficiently,
  author = {Cookson, Andrew N. and Doorly, Denis J. and Sherwin, Spencer J.},
  title = {Efficiently Generating Mixing by Combining Differing Small Amplitude Helical Geometries},
  journal = {Fluids},
  publisher = {MDPI AG},
  year = {2019},
  volume = {4},
  number = {2},
  pages = {59},
  groups = {sherwin},
  doi = {10.3390/fluids4020059}
}

J. Marcon, D. A. Kopriva, S. J. Sherwin and J. Peiró
A high resolution PDE approach to quadrilateral mesh generation
Journal of Computational Physics, 399, p. 108918, 2019. doi 10.1016/j.jcp.2019.108918
BiBTeX Abstract
```
@article{2019:marcon.kopriva.ea:high,
  author = {Marcon, Julian and Kopriva, David A and Sherwin, Spencer J and Peir{\'o}, Joaquim},
  title = {A high resolution {PDE} approach to quadrilateral mesh generation},
  journal = {Journal of Computational Physics},
  year = {2019},
  volume = {399},
  pages = {108918},
  publisher = {Elsevier},
  groups = {core},
  doi = {10.1016/j.jcp.2019.108918}
}
```
We describe a high order technique to generate quadrilateral decompositions and meshes for complex two dimensional domains using spectral elements in a field guided procedure. Inspired by cross field methods, we never actually compute crosses. Instead, we compute a high order accurate guiding field using a continuous Galerkin (CG) or discontinuous Galerkin (DG) spectral element method to solve a Laplace equation for each of the field variables using the open source code Nektar++. The spectral method provides spectral convergence and sub-element resolution of the fields. The DG approximation allows meshing of corners that are not multiples of π/2 in a discretization consistent manner, when needed. The high order field can then be exploited to accurately find irregular nodes, and can be accurately integrated using a high order separatrix integration method to avoid features like limit cycles. The result is a mesh with naturally curved quadrilateral elements that do not need to be curved a posteriori to eliminate invalid elements. The mesh generation procedure is implemented in the open source mesh generation program NekMesh.
M. Vymazal, D. Moxey, S. Sherwin, C. D. Cantwell and R. M. Kirby
On weak Dirichlet boundary conditions for elliptic problems in the continuous Galerkin method
Journal of Computational Physics, 394, pp. 732–744, 2019. doi 10.1016/j.jcp.2019.05.021
BiBTeX Abstract
```
@article{2019:vymazal.moxey.ea:on,
  author = {Vymazal, M. and Moxey, D. and Sherwin, S. and Cantwell, C. D. and Kirby, R. M.},
  title = {On weak {Dirichlet} boundary conditions for elliptic problems in the continuous {Galerkin} method},
  journal = {Journal of Computational Physics},
  year = {2019},
  volume = {394},
  pages = {732--744},
  doi = {10.1016/j.jcp.2019.05.021},
  groups = {core}
}
```
We combine continuous and discontinuous Galerkin methods in the setting of a model diffusion problem. Starting from a hybrid discontinuous formulation, we replace element interiors by more general subsets of the computational domain - groups of elements that support a piecewise-polynomial continuous expansion. This step allows us to identify a new weak formulation of Dirichlet boundary condition in the continuous framework. We show that the boundary condition leads to a stable discretization with a single parameter insensitive to mesh size and polynomial order of the expansion. The robustness of the approach is demonstrated on several numerical examples.

A. Yakhot, Y. Feldman, D. Moxey, S. Sherwin and G. E. Karniadakis

Turbulence in a Localized Puff in a Pipe

Flow, Turbulence and Combustion, 103 (1), pp. 1–24, 2019. doi 10.1007/s10494-018-0002-8

BiBTeX

@article{2019:yakhot.feldman.ea:turbulence,
  author = {Yakhot, Alexander and Feldman, Yuri and Moxey, David and Sherwin, Spencer and Karniadakis, George Em},
  title = {Turbulence in a Localized Puff in a Pipe},
  journal = {Flow, Turbulence and Combustion},
  publisher = {Springer Science and Business Media LLC},
  year = {2019},
  volume = {103},
  number = {1},
  pages = {1--24},
  groups = {sherwin},
  doi = {10.1007/s10494-018-0002-8}
}

H. Zhu, R. Wang, Y. Bao, D. Zhou, H. Ping, Z. Han and S. J. Sherwin

Flow over a symmetrically curved circular cylinder with the free stream parallel to the plane of curvature at low Reynolds number

Journal of Fluids and Structures, 87, pp. 23–38, 2019. doi 10.1016/j.jfluidstructs.2019.03.012

BiBTeX

@article{2019:zhu.wang.ea:flow,
  author = {Zhu, Hongbo and Wang, Rui and Bao, Yan and Zhou, Dai and Ping, Huan and Han, Zhaolong and Sherwin, Spencer J.},
  title = {Flow over a symmetrically curved circular cylinder with the free stream parallel to the plane of curvature at low Reynolds number},
  journal = {Journal of Fluids and Structures},
  publisher = {Elsevier BV},
  year = {2019},
  volume = {87},
  pages = {23--38},
  groups = {sherwin},
  doi = {10.1016/j.jfluidstructs.2019.03.012}
}

2018

P. Alpresa, S. Sherwin, P. Weinberg and M. van Reeuwijk

Orbitally shaken shallow fluid layers. I. Regime classification

Physics of Fluids, 30 (3), p. 032107, 2018. doi 10.1063/1.4996916

BiBTeX

@article{2018:alpresa.sherwin.ea:orbitally,
  author = {Alpresa, Paola and Sherwin, Spencer and Weinberg, Peter and van Reeuwijk, Maarten},
  title = {Orbitally shaken shallow fluid layers. I. Regime classification},
  journal = {Physics of Fluids},
  publisher = {AIP Publishing},
  year = {2018},
  volume = {30},
  number = {3},
  pages = {032107},
  groups = {sherwin},
  doi = {10.1063/1.4996916}
}

P. Alpresa, S. Sherwin, P. Weinberg and M. van Reeuwijk

Orbitally shaken shallow fluid layers. II. An improved wall shear stress model

Physics of Fluids, 30 (3), p. 032108, 2018. doi 10.1063/1.5016343

BiBTeX

@article{2018:alpresa.sherwin.ea:orbitallya,
  author = {Alpresa, Paola and Sherwin, Spencer and Weinberg, Peter and van Reeuwijk, Maarten},
  title = {Orbitally shaken shallow fluid layers. II. An improved wall shear stress model},
  journal = {Physics of Fluids},
  publisher = {AIP Publishing},
  year = {2018},
  volume = {30},
  number = {3},
  pages = {032108},
  groups = {sherwin},
  doi = {10.1063/1.5016343}
}

M. Calder, C. Craig, D. Culley, R. de Cani, C. A. Donnelly, R. Douglas, B. Edmonds, J. Gascoigne, N. Gilbert, C. Hargrove, D. Hinds, D. C. Lane, D. Mitchell, G. Pavey, D. Robertson, B. Rosewell, S. Sherwin, M. Walport and A. Wilson

Computational modelling for decision-making: where, why, what, who and how

Royal Society Open Science, 5 (6), p. 172096, 2018. doi 10.1098/rsos.172096

BiBTeX

@article{2018:calder.craig.ea:computational,
  author = {Calder, Muffy and Craig, Claire and Culley, Dave and de Cani, Richard and Donnelly, Christl A. and Douglas, Rowan and Edmonds, Bruce and Gascoigne, Jonathon and Gilbert, Nigel and Hargrove, Caroline and Hinds, Derwen and Lane, David C. and Mitchell, Dervilla and Pavey, Giles and Robertson, David and Rosewell, Bridget and Sherwin, Spencer and Walport, Mark and Wilson, Alan},
  title = {Computational modelling for decision-making: where, why, what, who and how},
  journal = {Royal Society Open Science},
  publisher = {The Royal Society},
  year = {2018},
  volume = {5},
  number = {6},
  pages = {172096},
  groups = {sherwin},
  doi = {10.1098/rsos.172096}
}

G. Mengaldo, D. De Grazia, R. C. Moura and S. J. Sherwin
Spatial eigensolution analysis of energy-stable flux reconstruction schemes and influence of the numerical flux on accuracy and robustness
Journal of Computational Physics, 2018. doi 10.1016/j.jcp.2017.12.019
BiBTeX Abstract
```
@article{2018:mengaldo.de-grazia.ea:spatial,
  author = {Mengaldo, Gianmarco and De Grazia, Daniele and Moura, Rodrigo C and Sherwin, Spencer J},
  title = {Spatial eigensolution analysis of energy-stable flux reconstruction schemes and influence of the numerical flux on accuracy and robustness},
  journal = {Journal of Computational Physics},
  year = {2018},
  publisher = {Elsevier},
  doi = {10.1016/j.jcp.2017.12.019},
  groups = {core}
}
```
This study focuses on the dispersion and diffusion characteristics of high-order energy-stable flux reconstruction (ESFR) schemes via the spatial eigensolution analysis framework proposed in doi.org/10.1016/j.compfluid.2017.09.016. The analysis is performed for five ESFR schemes, where the parameter c dictating the properties of the specific scheme recovered is chosen such that it spans the entire class of ESFR methods, also referred to as VCJH schemes, proposed in doi.org/10.1007/s10915-010-9420-z. In particular, we used five values of c, two that correspond to its lower and upper bounds and the others that identify three schemes that are linked to common high-order methods, namely the ESFR recovering two versions of discontinuous Galerkin methods and one recovering the spectral difference scheme. The performance of each scheme is assessed when using different numerical intercell fluxes (e.g. different levels of upwinding), ranging from under- to over-upwinding. In contrast to the more common temporal analysis, the spatial eigensolution analysis framework adopted here allows one to grasp crucial insights into the diffusion and dispersion properties of FR schemes for problems involving non-periodic boundary conditions, typically found in open-flow problems, including turbulence, unsteady aerodynamics and aeroacoustics.

H. Xu, C. D. Cantwell, C. Monteserin, C. Eskilsson, A. P. Engsig-Karup and S. J. Sherwin

Spectral/hp element methods: Recent developments, applications, and perspectives

Journal of Hydrodynamics, 30 (1), pp. 1–22, 2018. doi 10.1007/s42241-018-0001-1

BiBTeX

@article{2018:xu.cantwell.ea:spectralhpa,
  author = {Xu, Hui and Cantwell, Chris D. and Monteserin, Carlos and Eskilsson, Claes and Engsig-Karup, Allan P. and Sherwin, Spencer J.},
  title = {Spectral/hp element methods: Recent developments, applications, and perspectives},
  journal = {Journal of Hydrodynamics},
  publisher = {Springer Science and Business Media LLC},
  year = {2018},
  volume = {30},
  number = {1},
  pages = {1--22},
  groups = {sherwin},
  doi = {10.1007/s42241-018-0001-1}
}

D. de Grazia, D. Moxey, S. J. Sherwin, M. A. Kravtsova and A. I. Ruban
DNS of a compressible boundary layer flow past an isolated three-dimensional hump in a high-speed subsonic regime
Physical Review Fluids, 3, p. 024101, 2018. doi 10.1103/PhysRevFluids.3.024101
BiBTeX Abstract
```
@article{2018:grazia.moxey.ea:dns,
  author = {de Grazia, D. and Moxey, D. and Sherwin, S. J. and Kravtsova, M. A. and Ruban, A. I.},
  title = {DNS of a compressible boundary layer flow past an isolated three-dimensional hump in a high-speed subsonic regime},
  journal = {Physical Review Fluids},
  year = {2018},
  volume = {3},
  pages = {024101},
  doi = {10.1103/PhysRevFluids.3.024101},
  groups = {app}
}
```
In this paper we study the boundary-layer separation produced in a high-speed subsonic boundary layer by a small wall roughness. Specifically, we present a direct numerical simulation (DNS) of a two-dimensional boundary-layer flow over a flat plate encountering a three-dimensional Gaussian-shaped hump. This work was motivated by the lack of DNS data of boundary-layer flows past roughness elements in a similar regime which is typical of civil aviation. The Mach and Reynolds numbers are chosen to be relevant for aeronautical applications when considering small imperfections at the leading edge of wings. We analyze different heights of the hump: The smaller heights result in a weakly nonlinear regime, while the larger result in a fully nonlinear regime with an increasing laminar separation bubble arising downstream of the roughness element and the formation of a pair of streamwise counterrotating vortices which appear to support themselves.

2017

P. Burovskiy, P. Grigoras, S. Sherwin and W. Luk

Efficient Assembly for High-Order Unstructured FEM Meshes (FPL 2015)

ACM Transactions on Reconfigurable Technology and Systems, 10 (2), pp. 1–22, 2017. doi 10.1145/3024064

BiBTeX

@article{2017:burovskiy.grigoras.ea:efficient,
  author = {Burovskiy, Pavel and Grigoras, Paul and Sherwin, Spencer and Luk, Wayne},
  title = {Efficient Assembly for High-Order Unstructured FEM Meshes (FPL 2015)},
  journal = {ACM Transactions on Reconfigurable Technology and Systems},
  publisher = {Association for Computing Machinery (ACM)},
  year = {2017},
  volume = {10},
  number = {2},
  pages = {1--22},
  groups = {sherwin},
  doi = {10.1145/3024064}
}

K. Y. Chooi, A. Comerford, S. J. Sherwin and P. D. Weinberg

Noradrenaline has opposing effects on the hydraulic conductance of arterial intima and media

Journal of Biomechanics, 54, pp. 4–10, 2017. doi 10.1016/j.jbiomech.2017.01.027

BiBTeX

@article{2017:chooi.comerford.ea:noradrenaline,
  author = {Chooi, K.Y. and Comerford, A. and Sherwin, S.J. and Weinberg, P.D.},
  title = {Noradrenaline has opposing effects on the hydraulic conductance of arterial intima and media},
  journal = {Journal of Biomechanics},
  publisher = {Elsevier BV},
  year = {2017},
  volume = {54},
  pages = {4--10},
  groups = {sherwin},
  doi = {10.1016/j.jbiomech.2017.01.027}
}

M. Ghim, P. Alpresa, S.-W. Yang, S. T. Braakman, S. G. Gray, S. J. Sherwin, M. van Reeuwijk and P. D. Weinberg

Visualization of three pathways for macromolecule transport across cultured endothelium and their modification by flow

American Journal of Physiology-Heart and Circulatory Physiology, 313 (5), pp. H959–H973, 2017. doi 10.1152/ajpheart.00218.2017

BiBTeX

@article{2017:ghim.alpresa.ea:visualization,
  author = {Ghim, Mean and Alpresa, Paola and Yang, Sung-Wook and Braakman, Sietse T. and Gray, Stephen G. and Sherwin, Spencer J. and van Reeuwijk, Maarten and Weinberg, Peter D.},
  title = {Visualization of three pathways for macromolecule transport across cultured endothelium and their modification by flow},
  journal = {American Journal of Physiology-Heart and Circulatory Physiology},
  publisher = {American Physiological Society},
  year = {2017},
  volume = {313},
  number = {5},
  pages = {H959--H973},
  groups = {sherwin},
  doi = {10.1152/ajpheart.00218.2017}
}

X. Mao, T. A. Zaki, S. J. Sherwin and H. M. Blackburn

Transition induced by linear and nonlinear perturbation growth in flow past a compressor blade

Journal of Fluid Mechanics, 820, pp. 604–632, 2017. doi 10.1017/jfm.2017.240

BiBTeX

@article{2017:mao.zaki.ea:transition,
  author = {Mao, X. and Zaki, T. A. and Sherwin, S. J. and Blackburn, H. M.},
  title = {Transition induced by linear and nonlinear perturbation growth in flow past a compressor blade},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2017},
  volume = {820},
  pages = {604--632},
  groups = {sherwin},
  doi = {10.1017/jfm.2017.240}
}

G. Mengaldo, R. C. Moura, B. Giralda, J. Peiró and S. J. Sherwin
Spatial eigensolution analysis of discontinuous Galerkin schemes with practical insights for under-resolved computations and implicit LES
Computers & Fluids, 2017. doi 10.1016/j.compfluid.2017.09.016
BiBTeX Abstract
```
@article{2017:mengaldo.moura.ea:spatial,
  author = {Mengaldo, G. and Moura, R.C. and Giralda, B. and Peir{\'o}, J. and Sherwin, S.J.},
  title = {Spatial eigensolution analysis of discontinuous Galerkin schemes with practical insights for under-resolved computations and implicit {LES}},
  journal = {Computers \& Fluids},
  year = {2017},
  publisher = {Elsevier},
  groups = {core},
  doi = {10.1016/j.compfluid.2017.09.016}
}
```
The study focusses on the dispersion and diffusion characteristics of discontinuous spectral element methods - specifically discontinuous Galerkin (DG) - via the spatial eigensolution analysis framework built around a one-dimensional linear problem, namely the linear advection equation. Dispersion and diffusion characteristics are of critical importance when dealing with under-resolved computations, as they affect both the numerical stability of the simulation and the solution accuracy. The spatial eigensolution analysis carried out in this paper complements previous analyses based on the temporal approach, which are more commonly found in the literature. While the latter assumes periodic boundary conditions, the spatial approach assumes inflow/outflow type boundary conditions and is therefore better suited for the investigation of open flows typical of aerodynamic problems, including transitional and fully turbulent flows and aeroacoustics. The influence of spurious/reflected eigenmodes is assessed with regard to the presence of upwind dissipation, naturally present in DG methods. This provides insights into the accuracy and robustness of these schemes for under-resolved computations, including under-resolved direct numerical simulation (uDNS) and implicit large-eddy simulation (iLES). The results estimated from the spatial eigensolution analysis are verified using the one-dimensional linear advection equation and successively by performing two-dimensional compressible Euler simulations that mimic (spatially developing) grid turbulence.

Y. Mohamied, S. J. Sherwin and P. D. Weinberg

Understanding the fluid mechanics behind transverse wall shear stress

Journal of Biomechanics, 50, pp. 102–109, 2017. doi 10.1016/j.jbiomech.2016.11.035

BiBTeX

@article{2017:mohamied.sherwin.ea:understanding,
  author = {Mohamied, Yumnah and Sherwin, Spencer J. and Weinberg, Peter D.},
  title = {Understanding the fluid mechanics behind transverse wall shear stress},
  journal = {Journal of Biomechanics},
  publisher = {Elsevier BV},
  year = {2017},
  volume = {50},
  pages = {102--109},
  groups = {sherwin},
  doi = {10.1016/j.jbiomech.2016.11.035}
}

R. C. Moura, G. Mengaldo, J. Peiró and S. J. Sherwin
On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES/under-resolved DNS of Euler turbulence
Journal of Computational Physics, 330, pp. 615–623, 2017. doi 10.1016/j.compfluid.2017.09.016
BiBTeX Abstract
```
@article{2017:moura.mengaldo.ea:on,
  author = {Moura, R.C. and Mengaldo, G. and Peir{\'o}, J. and Sherwin, S.J.},
  title = {On the eddy-resolving capability of high-order discontinuous {Galerkin} approaches to implicit {LES}/under-resolved {DNS} of {Euler} turbulence},
  journal = {Journal of Computational Physics},
  year = {2017},
  volume = {330},
  pages = {615--623},
  publisher = {Elsevier},
  groups = {core},
  doi = {10.1016/j.compfluid.2017.09.016}
}
```
The study focusses on the dispersion and diffusion characteristics of discontinuous spectral element methods - specifically discontinuous Galerkin (DG) - via the spatial eigensolution analysis framework built around a one-dimensional linear problem, namely the linear advection equation. Dispersion and diffusion characteristics are of critical importance when dealing with under-resolved computations, as they affect both the numerical stability of the simulation and the solution accuracy. The spatial eigensolution analysis carried out in this paper complements previous analyses based on the temporal approach, which are more commonly found in the literature. While the latter assumes periodic boundary conditions, the spatial approach assumes inflow/outflow type boundary conditions and is therefore better suited for the investigation of open flows typical of aerodynamic problems, including transitional and fully turbulent flows and aeroacoustics. The influence of spurious/reflected eigenmodes is assessed with regard to the presence of upwind dissipation, naturally present in DG methods. This provides insights into the accuracy and robustness of these schemes for under-resolved computations, including under-resolved direct numerical simulation (uDNS) and implicit large-eddy simulation (iLES). The results estimated from the spatial eigensolution analysis are verified using the one-dimensional linear advection equation and successively by performing two-dimensional compressible Euler simulations that mimic (spatially developing) grid turbulence.

J. Serbanovic-Canic, A. de Luca, C. Warboys, P. F. Ferreira, L. A. Luong, S. Hsiao, I. Gauci, M. Mahmoud, S. Feng, C. Souilhol, N. Bowden, J.-P. Ashton, H. Walczak, D. Firmin, R. Krams, J. C. Mason, D. O. Haskard, S. Sherwin, V. Ridger, T. J. A. Chico and P. C. Evans

Zebrafish Model for Functional Screening of Flow-Responsive Genes

Arteriosclerosis, Thrombosis, and Vascular Biology, 37 (1), pp. 130–143, 2017. doi 10.1161/atvbaha.116.308502

BiBTeX

@article{2017:serbanoviccanic.deluca.ea:zebrafish,
  author = {Serbanovic-Canic, Jovana and de Luca, Amalia and Warboys, Christina and Ferreira, Pedro F. and Luong, Le A. and Hsiao, Sarah and Gauci, Ismael and Mahmoud, Marwa and Feng, Shuang and Souilhol, Celine and Bowden, Neil and Ashton, John-Paul and Walczak, Henning and Firmin, David and Krams, Rob and Mason, Justin C. and Haskard, Dorian O. and Sherwin, Spencer and Ridger, Victoria and Chico, Timothy J.A. and Evans, Paul C.},
  title = {Zebrafish Model for Functional Screening of Flow-Responsive Genes},
  journal = {Arteriosclerosis, Thrombosis, and Vascular Biology},
  publisher = {Ovid Technologies (Wolters Kluwer Health)},
  year = {2017},
  volume = {37},
  number = {1},
  pages = {130--143},
  groups = {sherwin},
  doi = {10.1161/atvbaha.116.308502}
}

D. Serson, J. R. Meneghini and S. J. Sherwin

Direct numerical simulations of the flow around wings with spanwise waviness at a very low Reynolds number

Computers & Fluids, 146, pp. 117–124, 2017. doi 10.1016/j.compfluid.2017.01.013

BiBTeX

@article{2017:serson.meneghini.ea:directa,
  author = {Serson, D. and Meneghini, J.R. and Sherwin, S.J.},
  title = {Direct numerical simulations of the flow around wings with spanwise waviness at a very low Reynolds number},
  journal = {Computers & Fluids},
  publisher = {Elsevier BV},
  year = {2017},
  volume = {146},
  pages = {117--124},
  groups = {sherwin},
  doi = {10.1016/j.compfluid.2017.01.013}
}

D. Serson, J. R. Meneghini and S. J. Sherwin

Direct numerical simulations of the flow around wings with spanwise waviness

Journal of Fluid Mechanics, 826, pp. 714–731, 2017. doi 10.1017/jfm.2017.475

BiBTeX

@article{2017:serson.meneghini.ea:direct,
  author = {Serson, Douglas and Meneghini, Julio R. and Sherwin, Spencer J.},
  title = {Direct numerical simulations of the flow around wings with spanwise waviness},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2017},
  volume = {826},
  pages = {714--731},
  groups = {sherwin},
  doi = {10.1017/jfm.2017.475}
}

A. R. Winters, R. C. Moura, G. Mengaldo, G. J. Gassner, S. Walch, J. Peiro and S. J. Sherwin

A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations

arXiv preprint arXiv:1711.10180, 2017. doi 10.48550/arXiv.1711.10180

BiBTeX

@article{2017:winters.moura.ea:comparative,
  author = {Winters, Andrew R and Moura, Rodrigo C and Mengaldo, Gianmarco and Gassner, Gregor J and Walch, Stefanie and Peiro, Joaquim and Sherwin, Spencer J},
  title = {A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations},
  journal = {arXiv preprint arXiv:1711.10180},
  year = {2017},
  doi = {10.48550/arXiv.1711.10180},
  groups = {core}
}

H. Xu, J.-E. W. Lombard and S. J. Sherwin

Influence of localised smooth steps on the instability of a boundary layer

Journal of Fluid Mechanics, 817, pp. 138–170, 2017. doi 10.1017/jfm.2017.113

BiBTeX

@article{2017:xu.lombard.ea:influence,
  author = {Xu, Hui and Lombard, Jean-Eloi W. and Sherwin, Spencer J.},
  title = {Influence of localised smooth steps on the instability of a boundary layer},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2017},
  volume = {817},
  pages = {138--170},
  groups = {sherwin},
  doi = {10.1017/jfm.2017.113}
}

H. Xu, S. M. Mughal, E. R. Gowree, C. J. Atkin and S. J. Sherwin

Destabilisation and modification of Tollmien–Schlichting disturbances by a three-dimensional surface indentation

Journal of Fluid Mechanics, 819, pp. 592–620, 2017. doi 10.1017/jfm.2017.193

BiBTeX

@article{2017:xu.mughal.ea:destabilisation,
  author = {Xu, Hui and Mughal, Shahid M. and Gowree, Erwin R. and Atkin, Chris J. and Sherwin, Spencer J.},
  title = {Destabilisation and modification of Tollmien--Schlichting disturbances by a three-dimensional surface indentation},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2017},
  volume = {819},
  pages = {592--620},
  groups = {sherwin},
  doi = {10.1017/jfm.2017.193}
}

2016

Y. Bao, R. Palacios, J. M. R. Graham and S. J. Sherwin

Generalized thick strip modelling for vortex-induced vibration of long flexible cylinders

Journal of Computational Physics, 2016.

BiBTeX

@article{2016:bao.palacios.ea:generalized,
  author = {Bao, Y and Palacios, R and Graham, JMR and Sherwin, SJ},
  title = {Generalized thick strip modelling for vortex-induced vibration of long flexible cylinders},
  journal = {Journal of Computational Physics},
  year = {2016},
  url = {http://hdl.handle.net/10044/1/33432},
  groups = {core}
}

A. Bolis, C. D. Cantwell, D. Moxey, D. Serson and S. J. Sherwin

An adaptable parallel algorithm for the direct numerical simulation of incompressible turbulent flows using a Fourier spectral/hp element method and MPI virtual topologies

Computer Physics Communications, 2016. doi 10.1016/j.cpc.2016.04.011

BiBTeX

@article{2016:bolis.cantwell.ea:adaptable,
  author = {Bolis, A and Cantwell, CD and Moxey, D and Serson, D and Sherwin, SJ},
  title = {An adaptable parallel algorithm for the direct numerical simulation of incompressible turbulent flows using a Fourier spectral/hp element method and MPI virtual topologies},
  journal = {Computer Physics Communications},
  year = {2016},
  month = apr,
  doi = {10.1016/j.cpc.2016.04.011},
  issn = {0010-4655},
  publicationstatus = {published},
  groups = {core}
}

C. H. Chan, M. Z. Hossain, S. J. Sherwin and Y. Hwang

The state-space structure around spiral-defect chaos in Rayleigh–Bénard convection

Proceedings of the Royal Society A Mathematical Physical and Engineering Science, 482 (2332), 2016. doi 10.1098/rspa.2024.0974

BiBTeX

@article{2016:chan.hossain.ea:statespace,
  author = {Chan, Chi Hin and Hossain, Mohammad Z. and Sherwin, Spencer J. and Hwang, Yongyun},
  title = {The state-space structure around spiral-defect chaos in Rayleigh--Bénard convection},
  journal = {Proceedings of the Royal Society A Mathematical Physical and Engineering Science},
  publisher = {The Royal Society},
  year = {2016},
  volume = {482},
  number = {2332},
  groups = {sherwin},
  doi = {10.1098/rspa.2024.0974}
}

K. Y. Chooi, A. Comerford, S. J. Sherwin and P. D. Weinberg

Intimal and medial contributions to the hydraulic resistance of the arterial wall at different pressures: a combined computational and experimental study

Journal of The Royal Society Interface, 13 (119), p. 20160234, 2016. doi 10.1098/rsif.2016.0234

BiBTeX

@article{2016:chooi.comerford.ea:intimal,
  author = {Chooi, K. Y. and Comerford, A. and Sherwin, S. J. and Weinberg, P. D.},
  title = {Intimal and medial contributions to the hydraulic resistance of the arterial wall at different pressures: a combined computational and experimental study},
  journal = {Journal of The Royal Society Interface},
  publisher = {The Royal Society},
  year = {2016},
  volume = {13},
  number = {119},
  pages = {20160234},
  groups = {sherwin},
  doi = {10.1098/rsif.2016.0234}
}

J.-E. W. Lombard, D. Moxey, S. J. Sherwin, J. F. A. Hoessler, S. Dhandapani and M. J. Taylor

Implicit Large-Eddy Simulation of a Wingtip Vortex

AIAA JOURNAL, 54 (2), pp. 506–518, 2016. doi 10.2514/1.J054181

BiBTeX

@article{2016:lombard.moxey.ea:implicit,
  author = {Lombard, J-EW and Moxey, D and Sherwin, SJ and Hoessler, JFA and Dhandapani, S and Taylor, MJ},
  title = {Implicit Large-Eddy Simulation of a Wingtip Vortex},
  journal = {AIAA JOURNAL},
  year = {2016},
  volume = {54},
  pages = {506--518},
  month = feb,
  publisher = {AMER INST AERONAUTICS ASTRONAUTICS},
  doi = {10.2514/1.J054181},
  issn = {0001-1452},
  issue = {2},
  keyword = {STABILIZATION},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {app}
}

G. Mengaldo, D. de Grazia, P. E. Vincent and S. J. Sherwin
On the Connections Between Discontinuous Galerkin and Flux Reconstruction Schemes: Extension to Curvilinear Meshes
Journal of Scientific Computing, 67, pp. 1272–1292, 2016. doi 10.1007/s10915-015-0119-z
BiBTeX Abstract
```
@article{2016:mengaldo.grazia.ea:on,
  author = {Mengaldo, G. and de Grazia, D. and Vincent, P. E. and Sherwin, S. J.},
  title = {On the Connections Between Discontinuous Galerkin and Flux Reconstruction Schemes: Extension to Curvilinear Meshes},
  journal = {Journal of Scientific Computing},
  year = {2016},
  volume = {67},
  pages = {1272--1292},
  month = oct,
  doi = {10.1007/s10915-015-0119-z},
  issn = {0885-7474},
  day = {19},
  publicationstatus = {accepted},
  groups = {core}
}
```
This paper investigates the connections between many popular variants of the well-established discontinuous Galerkin method and the recently developed high-order flux reconstruction approach on irregular tensor-product grids. We explore these connections by analysing three nodal versions of tensor-product discontinuous Galerkin spectral element approximations and three types of flux reconstruction schemes for solving systems of conservation laws on irregular tensor-product meshes. We demonstrate that the existing connections established on regular grids are also valid on deformed and curved meshes for both linear and nonlinear problems, provided that the metric terms are accounted for appropriately. We also find that the aliasing issues arising from nonlinearities either due to a deformed/curved elements or due to the nonlinearity of the equations are equivalent and can be addressed using the same strategies both in the discontinuous Galerkin method and in the flux reconstruction approach. In particular, we show that the discontinuous Galerkin and the flux reconstruction approach are equivalent also when using higher-order quadrature rules that are commonly employed in the context of over- or consistent-integration-based dealiasing methods. The connections found in this work help to complete the picture regarding the relations between these two numerical approaches and show the possibility of using over- or consistent-integration in an equivalent manner for both the approaches.
R. C. Moura, S. J. Sherwin and J. Peiro
Eigensolution analysis of spectral/hp continuous Galerkin approximations to advection-diffusion problems: Insights into spectral vanishing viscosity
Journal of Computational Physics, 307, pp. 401–422, 2016. doi 10.1016/j.jcp.2015.12.009
BiBTeX Abstract
```
@article{2016:moura.sherwin.ea:eigensolution,
  author = {Moura, R. C. and Sherwin, S. J. and Peiro, J},
  title = {Eigensolution analysis of spectral/hp continuous Galerkin approximations to advection-diffusion problems: Insights into spectral vanishing viscosity},
  journal = {Journal of Computational Physics},
  year = {2016},
  volume = {307},
  pages = {401--422},
  month = feb,
  doi = {10.1016/j.jcp.2015.12.009},
  issn = {0021-9991},
  eissn = {1090-2716},
  day = {15},
  publicationstatus = {accepted},
  groups = {core}
}
```
This study addresses linear dispersion-diffusion analysis for the spectral/hp continuous Galerkin (CG) formulation in one dimension. First, numerical dispersion and diffusion curves are obtained for the advection-diffusion problem and the role of multiple eigencurves peculiar to spectral/hp methods is discussed. From the eigencurves’ behaviour, we observe that CG might feature potentially undesirable non-smooth dispersion/diffusion characteristics for under-resolved simulations of problems strongly dominated by either convection or diffusion. Subsequently, the linear advection equation augmented with spectral vanishing viscosity (SVV) is analysed. Dispersion and diffusion characteristics of CG with SVV-based stabilization are verified to display similar non-smooth features in flow regions where convection is much stronger than dissipation or vice-versa, owing to a dependency of the standard SVV operator on a local Peclet number. First a modification is proposed to the traditional SVV scaling that enforces a globally constant Peclet number so as to avoid the previous issues. In addition, a new SVV kernel function is suggested and shown to provide a more regular behaviour for the eigencurves along with a consistent increase in resolution power for higher-order discretizations, as measured by the extent of the wavenumber range where numerical errors are negligible. The dissipation characteristics of CG with the SVV modifications suggested are then verified to be broadly equivalent to those obtained through upwinding in the discontinuous Galerkin (DG) scheme. Nevertheless, for the kernel function proposed, the full upwind DG scheme is found to have a slightly higher resolution power for the same dissipation levels. These results show that improved CG-SVV characteristics can be pursued via different kernel functions with the aid of optimization algorithms.

D. Moxey, C. D. Cantwell, R. M. Kirby and S. J. Sherwin

Optimising the performance of the spectral/hp element method with collective linear algebra operations

Computer Methods in Applied Mechanics and Engineering, 310, pp. 628–645, 2016. doi 10.1016/j.cma.2016.07.001

BiBTeX

@article{2016:moxey.cantwell.ea:optimising,
  author = {Moxey, D. and Cantwell, C.D. and Kirby, R.M. and Sherwin, S.J.},
  title = {Optimising the performance of the spectral/hp element method with collective linear algebra operations},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  publisher = {Elsevier BV},
  year = {2016},
  volume = {310},
  pages = {628--645},
  groups = {sherwin},
  doi = {10.1016/j.cma.2016.07.001}
}

D. Moxey, D. Ekelschot, Ü. Keskin, S. J. Sherwin and J. Peiró

High-order curvilinear meshing using a thermo-elastic analogy

Computer-Aided Design, 72, pp. 130–139, 2016. doi 10.1016/j.cad.2015.09.007

BiBTeX

@article{2016:moxey.ekelschot.ea:highorder,
  author = {Moxey, D. and Ekelschot, D. and Keskin, Ü. and Sherwin, S.J. and Peiró, J.},
  title = {High-order curvilinear meshing using a thermo-elastic analogy},
  journal = {Computer-Aided Design},
  publisher = {Elsevier BV},
  year = {2016},
  volume = {72},
  pages = {130--139},
  groups = {sherwin},
  doi = {10.1016/j.cad.2015.09.007}
}

J. Peiro, D. Moxey, S. J. Sherwin and D. Ekelschot

A p-adaptation method for compressible flow problems using a goal-based error indicator

Computers and Structures, 2016.

BiBTeX

@article{2016:peiro.moxey.ea:p-adaptation,
  author = {Peiro, J and Moxey, D and Sherwin, S.J. and Ekelschot, D.},
  title = {A p-adaptation method for compressible flow problems using a goal-based error indicator},
  journal = {Computers and Structures},
  year = {2016},
  url = {http://hdl.handle.net/10044/1/30414},
  groups = {core}
}

D. Serson, J. R. Meneghini and S. J. Sherwin
Velocity-correction schemes for the incompressible Navier-Stokes equations in general coordinate systems
Journal of Computational Physics, 316, pp. 243–254, 2016. doi 10.1016/j.jcp.2016.04.026
BiBTeX Abstract
```
@article{2016:serson.meneghini.ea:velocity-correction,
  author = {Serson, D and Meneghini, JR and Sherwin, SJ},
  title = {Velocity-correction schemes for the incompressible Navier-Stokes equations in general coordinate systems},
  journal = {Journal of Computational Physics},
  year = {2016},
  volume = {316},
  pages = {243--254},
  month = jul,
  doi = {10.1016/j.jcp.2016.04.026},
  issn = {0021-9991},
  eissn = {1090-2716},
  day = {1},
  publicationstatus = {published},
  groups = {core}
}
```
This paper presents methods of including coordinate transformations into the solution of the incompressible Navier-Stokes equations using the velocity-correction scheme, which is commonly used in the numerical solution of unsteady incompressible flows. This is important when the transformation leads to symmetries that allow the use of more efficient numerical techniques, like employing a Fourier expansion to discretize a homogeneous direction. Two different approaches are presented: in the first approach all the influence of the mapping is treated explicitly, while in the second the mapping terms related to convection are treated explicitly, with the pressure and viscous terms treated implicitly. Through numerical results, we demonstrate how these methods maintain the accuracy of the underlying high-order method, and further apply the discretisation strategy to problems where mixed Fourier-spectral/hp element discretisations can be applied, thereby extending the usefulness of this discretisation technique.

H. Xu, S. J. Sherwin, P. Hall and X. Wu

The behaviour of Tollmien-Schlichting waves undergoing small-scale localised distortions

JOURNAL OF FLUID MECHANICS, 792, pp. 499–525, 2016. doi 10.1017/jfm.2016.93

BiBTeX

@article{2016:xu.sherwin.ea:behaviour,
  author = {Xu, H and Sherwin, SJ and Hall, P and Wu, X},
  title = {The behaviour of Tollmien-Schlichting waves undergoing small-scale localised distortions},
  journal = {JOURNAL OF FLUID MECHANICS},
  year = {2016},
  volume = {792},
  pages = {499--525},
  month = apr,
  publisher = {CAMBRIDGE UNIV PRESS},
  doi = {10.1017/jfm.2016.93},
  issn = {0022-1120},
  keyword = {TRANSITION},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {app}
}

S. Yakovlev, D. Moxey, R. M. Kirby and S. J. Sherwin
To CG or to HDG: A Comparative Study in 3D
Journal of Scientific Computing, 67, pp. 192–220, 2016. doi 10.1007/s10915-015-0076-6
BiBTeX Abstract
```
@article{2016:yakovlev.moxey.ea:to,
  author = {Yakovlev, S. and Moxey, D. and Kirby, R. M. and Sherwin, S. J.},
  title = {To CG or to HDG: A Comparative Study in 3D},
  journal = {Journal of Scientific Computing},
  year = {2016},
  volume = {67},
  pages = {192--220},
  month = jul,
  doi = {10.1007/s10915-015-0076-6},
  issn = {0885-7474},
  day = {28},
  publicationstatus = {accepted},
  groups = {core}
}
```
Since the inception of discontinuous Galerkin (DG) methods for elliptic problems, there has existed a question of whether DG methods can be made more computationally efficient than continuous Galerkin (CG) methods. Fewer degrees of freedom, approximation properties for elliptic problems together with the number of optimization techniques, such as static condensation, available within CG framework made it challenging for DG methods to be competitive until recently. However, with the introduction of a static-condensation-amenable DG method the hybridizable discontinuous Galerkin (HDG) method it has become possible to perform a realistic comparison of CG and HDG methods when applied to elliptic problems. In this work, we extend upon an earlier 2D comparative study, providing numerical results and discussion of the CG and HDG method performance in three dimensions. The comparison categories covered include steady-state elliptic and time-dependent parabolic problems, various element types and serial and parallel performance. The postprocessing technique, which allows for superconvergence in the HDG case, is also discussed. Depending on the direct linear system solver used and the type of the problem (steady-state vs. time-dependent) in question the HDG method either outperforms or demonstrates a comparable performance when compared with the CG method. The HDG method however falls behind performance-wise when the iterative solver is used, which indicates the need for an effective preconditioning strategy for the method.

2015

C. D. Cantwell, D. Moxey, A. Comerford, A. Bolis, G. Rocco, G. Mengaldo, D. De Grazia, S. Yakovlev, J.-E. Lombard, D. Ekelschot, B. Jordi, H. Xu, Y. Mohamied, C. Eskilsson, B. Nelson, P. Vos, C. Biotto, R. M. Kirby and S. J. Sherwin

Nektar plus plus : An open-source spectral/hp element framework

COMPUTER PHYSICS COMMUNICATIONS, 192, pp. 205–219, 2015. doi 10.1016/j.cpc.2015.02.008

BiBTeX

@article{2015:cantwell.moxey.ea:nektar,
  author = {Cantwell, C. D. and Moxey, D. and Comerford, A. and Bolis, A. and Rocco, G. and Mengaldo, G. and De Grazia, D. and Yakovlev, S. and Lombard, J-E. and Ekelschot, D. and Jordi, B. and Xu, H. and Mohamied, Y. and Eskilsson, C. and Nelson, B. and Vos, P. and Biotto, C. and Kirby, R. M. and Sherwin, S. J.},
  title = {Nektar plus plus : An open-source spectral/hp element framework},
  journal = {COMPUTER PHYSICS COMMUNICATIONS},
  year = {2015},
  volume = {192},
  pages = {205--219},
  month = jul,
  publisher = {ELSEVIER SCIENCE BV},
  doi = {10.1016/j.cpc.2015.02.008},
  issn = {0010-4655},
  keyword = {SYSTEM},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {core}
}

C. D. Cantwell, C. H. Roney, F. S. Ng, J. H. Siggers, S. J. Sherwin and N. S. Peters

Techniques for automated local activation time annotation and conduction velocity estimation in cardiac mapping

Computers in Biology and Medicine, 65, pp. 229–242, 2015. doi 10.1016/j.compbiomed.2015.04.027

BiBTeX

@article{2015:cantwell.roney.ea:techniques,
  author = {Cantwell, C.D. and Roney, C.H. and Ng, F.S. and Siggers, J.H. and Sherwin, S.J. and Peters, N.S.},
  title = {Techniques for automated local activation time annotation and conduction velocity estimation in cardiac mapping},
  journal = {Computers in Biology and Medicine},
  publisher = {Elsevier BV},
  year = {2015},
  volume = {65},
  pages = {229--242},
  groups = {sherwin},
  doi = {10.1016/j.compbiomed.2015.04.027}
}

A. Comerford, K. Y. Chooi, M. Nowak, P. D. Weinberg and S. J. Sherwin

A combined numerical and experimental framework for determining permeability properties of the arterial media

BIOMECHANICS AND MODELING IN MECHANOBIOLOGY, 14 (2), pp. 297–313, 2015. doi 10.1007/s10237-014-0604-6

BiBTeX

@article{2015:comerford.chooi.ea:combined,
  author = {Comerford, A. and Chooi, K. Y. and Nowak, M. and Weinberg, P. D. and Sherwin, S. J.},
  title = {A combined numerical and experimental framework for determining permeability properties of the arterial media},
  journal = {BIOMECHANICS AND MODELING IN MECHANOBIOLOGY},
  year = {2015},
  volume = {14},
  pages = {297--313},
  month = apr,
  publisher = {SPRINGER HEIDELBERG},
  doi = {10.1007/s10237-014-0604-6},
  issn = {1617-7959},
  issue = {2},
  keyword = {ALBUMIN},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {app}
}

B. E. Jordi, C. J. Cotter and S. J. Sherwin

An adaptive selective frequency damping method

PHYSICS OF FLUIDS, 27 (9), 2015. doi 10.1063/1.4932107

BiBTeX

@article{2015:jordi.cotter.ea:adaptive,
  author = {Jordi, B. E. and Cotter, C. J. and Sherwin, S. J.},
  title = {An adaptive selective frequency damping method},
  journal = {PHYSICS OF FLUIDS},
  year = {2015},
  volume = {27},
  number = {ARTN 094104},
  month = sep,
  publisher = {AMER INST PHYSICS},
  doi = {10.1063/1.4932107},
  issn = {1070-6631},
  issue = {9},
  keyword = {FLOW},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {app}
}

X. Mao, H. M. Blackburn and S. J. Sherwin

Nonlinear optimal suppression of vortex shedding from a circular cylinder

Journal of Fluid Mechanics, 775, pp. 241–265, 2015. doi 10.1017/jfm.2015.304

BiBTeX

@article{2015:mao.blackburn.ea:nonlinear,
  author = {Mao, X. and Blackburn, H. M. and Sherwin, S. J.},
  title = {Nonlinear optimal suppression of vortex shedding from a circular cylinder},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2015},
  volume = {775},
  pages = {241--265},
  groups = {sherwin},
  doi = {10.1017/jfm.2015.304}
}

X. Mao, H. Blackburn and S. Sherwin

Optimal suppression of flow perturbations using boundary control

Computers & Fluids, 121, pp. 133–144, 2015. doi 10.1016/j.compfluid.2015.08.018

BiBTeX

@article{2015:mao.blackburn.ea:optimal,
  author = {Mao, Xuerui and Blackburn, Hugh and Sherwin, Spencer},
  title = {Optimal suppression of flow perturbations using boundary control},
  journal = {Computers & Fluids},
  publisher = {Elsevier BV},
  year = {2015},
  volume = {121},
  pages = {133--144},
  groups = {sherwin},
  doi = {10.1016/j.compfluid.2015.08.018}
}

G. Mengaldo, G. D. De, D. Moxey, P. E. Vincent and S. J. Sherwin

Dealiasing techniques for high-order spectral element methods on regular and irregular grids

JOURNAL OF COMPUTATIONAL PHYSICS, 299, pp. 56–81, 2015. doi 10.1016/j.jcp.2015.06.032

BiBTeX

@article{2015:mengaldo.de.ea:dealiasing,
  author = {Mengaldo, G and De, Grazia D and Moxey, D and Vincent, PE and Sherwin, SJ},
  title = {Dealiasing techniques for high-order spectral element methods on regular and irregular grids},
  journal = {JOURNAL OF COMPUTATIONAL PHYSICS},
  year = {2015},
  volume = {299},
  pages = {56--81},
  doi = {10.1016/j.jcp.2015.06.032},
  groups = {core}
}

G. Mengaldo, M. Kravtsova, A. I. Ruban and S. J. Sherwin

Triple-deck and direct numerical simulation analyses of high-speed subsonic flows past a roughness element

J. Fluid Mech., 774, pp. 311–323, 2015. doi 10.1017/jfm.2015.281

BiBTeX

@article{2015:mengaldo.kravtsova.ea:triple-deck,
  author = {Mengaldo, G. and Kravtsova, M. and Ruban, A. I. and Sherwin, S. J.},
  title = {Triple-deck and direct numerical simulation analyses of high-speed subsonic flows past a roughness element},
  journal = {J. Fluid Mech.},
  year = {2015},
  volume = {774},
  pages = {311--323},
  month = jul,
  publisher = {CAMBRIDGE UNIV PRESS},
  doi = {10.1017/jfm.2015.281},
  issn = {0022-1120},
  keyword = {CORNERS},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {app}
}

R. C. Moura, S. J. Sherwin and J. Peiro

Linear dispersion-diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/hp methods

JOURNAL OF COMPUTATIONAL PHYSICS, 298, pp. 695–710, 2015. doi 10.1016/j.jcp.2015.06.020

BiBTeX

@article{2015:moura.sherwin.ea:linear,
  author = {Moura, R. C. and Sherwin, S. J. and Peiro, J.},
  title = {Linear dispersion-diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/hp methods},
  journal = {JOURNAL OF COMPUTATIONAL PHYSICS},
  year = {2015},
  volume = {298},
  pages = {695--710},
  month = oct,
  publisher = {ACADEMIC PRESS INC ELSEVIER SCIENCE},
  doi = {10.1016/j.jcp.2015.06.020},
  issn = {0021-9991},
  keyword = {SCHEMES},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {app}
}

D. Moxey, M. D. Green, S. J. Sherwin and J. Peiro

An isoparametric approach to high-order curvilinear boundary-layer meshing

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 283, pp. 636–650, 2015. doi 10.1016/j.cma.2014.09.019

BiBTeX

@article{2015:moxey.green.ea:isoparametric,
  author = {Moxey, D. and Green, M. D. and Sherwin, S. J. and Peiro, J.},
  title = {An isoparametric approach to high-order curvilinear boundary-layer meshing},
  journal = {COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING},
  year = {2015},
  volume = {283},
  pages = {636--650},
  month = jan,
  publisher = {ELSEVIER SCIENCE SA},
  doi = {10.1016/j.cma.2014.09.019},
  issn = {0045-7825},
  keyword = {GRIDS},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {core}
}

D. Moxey, M. Hazan, S. J. Sherwin and J. Peiro
Curvilinear mesh generation for boundary layer problems
Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 128, pp. 41–64, 2015. doi 10.1007/978-3-319-12886-3_3
BiBTeX Abstract
```
@article{2015:moxey.hazan.ea:curvilinear,
  author = {Moxey, D. and Hazan, M. and Sherwin, S. J. and Peiro, J.},
  title = {Curvilinear mesh generation for boundary layer problems},
  journal = {Notes on Numerical Fluid Mechanics and Multidisciplinary Design},
  year = {2015},
  volume = {128},
  pages = {41--64},
  month = jan,
  doi = {10.1007/978-3-319-12886-3_3},
  issn = {1612-2909},
  day = {1},
  publicationstatus = {published},
  groups = {core}
}
```
In this article, we give an overview of a new technique for unstructured curvilinear boundary layer grid generation, which uses the isoparametric mappings that define elements in an existing coarse prismatic grid to produce a refined mesh capable of resolving arbitrarily thin boundary layers. We demonstrate that the technique always produces valid grids given an initially valid coarse mesh, and additionally show how this can be extended to convert hybrid meshes to meshes containing only simplicial elements.
G. Rocco and S. J. Sherwin
The role of spanwise forcing on vortex shedding suppression in a flow past a cylinder
Fluid Mechanics and its Applications, 107, pp. 105–110, 2015. doi 10.1007/978-3-319-06260-0_15
BiBTeX Abstract
```
@article{2015:rocco.sherwin:role,
  author = {Rocco, G. and Sherwin, S. J.},
  title = {The role of spanwise forcing on vortex shedding suppression in a flow past a cylinder},
  journal = {Fluid Mechanics and its Applications},
  year = {2015},
  volume = {107},
  pages = {105--110},
  month = jan,
  doi = {10.1007/978-3-319-06260-0_15},
  issn = {0926-5112},
  day = {1},
  publicationstatus = {published},
  groups = {app}
}
```
Controlling the wake vortex dynamics of bluff bodies efficiently is a fundamental problem in many applications. Earlier direct numerical simulations (Darekar and Sherwin) of three-dimensional bluff bodies demonstrated that the introduction of a spanwise waviness at both the leading and trailing surfaces suppresses the vortex shedding and reduces the amplitude of the fluctuating aerodynamic forces. Under this motivation, starting from a fully developed shedding, a sufficiently high spanwise forcing is introduced on the surface of the cylinder, in the regions where separation effects occur, resulting in the stabilisation of the near wake in a timeindependent state, similar to the effect of a sinusoidal stagnation surface. Stability analysis of the linearised Navier-Stokes equations was then performed on the threedimensional flows to investigate the role of the spanwise modulation on the absolute instability associated with the von Karman street.

G. Rocco and S. J. Sherwin

Stabilisation of the Absolute Instability of a Flow Past a Cylinder via Spanwise Forcing at Re = 180

Procedia IUTAM, 14, pp. 115–121, 2015. doi 10.1016/j.piutam.2015.03.030

BiBTeX

@article{2015:rocco.sherwin:stabilisation,
  author = {Rocco, G. and Sherwin, S.J.},
  title = {Stabilisation of the Absolute Instability of a Flow Past a Cylinder via Spanwise Forcing at Re = 180},
  journal = {Procedia IUTAM},
  publisher = {Elsevier BV},
  year = {2015},
  volume = {14},
  pages = {115--121},
  groups = {sherwin},
  doi = {10.1016/j.piutam.2015.03.030}
}

G. Rocco, T. A. Zaki, X. Mao, H. M. Blackburn and S. J. Sherwin

Floquet and transient growth stability analysis of a flow through a compressor passage

AEROSPACE SCIENCE AND TECHNOLOGY, 44, pp. 116–124, 2015. doi 10.1016/j.ast.2015.02.004

BiBTeX

@article{2015:rocco.zaki.ea:floquet,
  author = {Rocco, G. and Zaki, T. A. and Mao, X. and Blackburn, H. M. and Sherwin, S. J.},
  title = {Floquet and transient growth stability analysis of a flow through a compressor passage},
  journal = {AEROSPACE SCIENCE AND TECHNOLOGY},
  year = {2015},
  volume = {44},
  pages = {116--124},
  month = jul,
  publisher = {ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER},
  doi = {10.1016/j.ast.2015.02.004},
  issn = {1270-9638},
  keyword = {WAKES},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {app}
}

2014

E. L. Bailey, V. Peiffer, Y. Mohamied, K. Y. Chooi, E. M. Rowland, S. J. Sherwin and P. D. Weinberg

Spatial correlation between patterns of wall permeability and patterns of multidirectional disturbed blood flow in rabbit aorta

Atherosclerosis, 232 (2), p. e2, 2014. doi 10.1016/j.atherosclerosis.2013.11.002

BiBTeX

@article{2014:bailey.peiffer.ea:spatial,
  author = {Bailey, E.L. and Peiffer, V. and Mohamied, Y. and Chooi, K.Y. and Rowland, E.M. and Sherwin, S.J. and Weinberg, P.D.},
  title = {Spatial correlation between patterns of wall permeability and patterns of multidirectional disturbed blood flow in rabbit aorta},
  journal = {Atherosclerosis},
  publisher = {Elsevier BV},
  year = {2014},
  volume = {232},
  number = {2},
  pages = {e2},
  groups = {sherwin},
  doi = {10.1016/j.atherosclerosis.2013.11.002}
}

A. Bolis, C. D. Cantwell, R. M. Kirby and S. J. Sherwin

From h to p efficiently: optimal implementation strategies for explicit time-dependent problems using the spectral/hp element method

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 75 (8), pp. 591–607, 2014. doi 10.1002/fld.3909

BiBTeX

@article{2014:bolis.cantwell.ea:from,
  author = {Bolis, A. and Cantwell, C. D. and Kirby, R. M. and Sherwin, S. J.},
  title = {From h to p efficiently: optimal implementation strategies for explicit time-dependent problems using the spectral/hp element method},
  journal = {INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS},
  year = {2014},
  volume = {75},
  pages = {591--607},
  month = jul,
  publisher = {WILEY-BLACKWELL},
  doi = {10.1002/fld.3909},
  issn = {0271-2091},
  issue = {8},
  keyword = {STABILITY},
  language = {English},
  day = {20},
  publicationstatus = {published},
  groups = {core}
}

C. D. Cantwell, S. Yakovlev, R. M. Kirby, N. S. Peters and S. J. Sherwin

High-order spectral/hp element discretisation for reaction-diffusion problems on surfaces: Application to cardiac electrophysiology

JOURNAL OF COMPUTATIONAL PHYSICS, 257, pp. 813–829, 2014. doi 10.1016/j.jcp.2013.10.019

BiBTeX

@article{2014:cantwell.yakovlev.ea:high-order,
  author = {Cantwell, C. D. and Yakovlev, S. and Kirby, R. M. and Peters, N. S. and Sherwin, S. J.},
  title = {High-order spectral/hp element discretisation for reaction-diffusion problems on surfaces: Application to cardiac electrophysiology},
  journal = {JOURNAL OF COMPUTATIONAL PHYSICS},
  year = {2014},
  volume = {257},
  pages = {813--829},
  month = jan,
  publisher = {ACADEMIC PRESS INC ELSEVIER SCIENCE},
  doi = {10.1016/j.jcp.2013.10.019},
  issn = {0021-9991},
  keyword = {MESHES},
  language = {English},
  day = {15},
  publicationstatus = {published},
  groups = {core}
}

D. De Grazia, G. Mengaldo, D. Moxey, P. E. Vincent and S. J. Sherwin

Connections between the discontinuous Galerkin method and high-order flux reconstruction schemes

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 75 (12), pp. 860–877, 2014. doi 10.1002/fld.3915

BiBTeX

@article{2014:de-grazia.mengaldo.ea:connections,
  author = {De Grazia, D. and Mengaldo, G. and Moxey, D. and Vincent, P. E. and Sherwin, S. J.},
  title = {Connections between the discontinuous Galerkin method and high-order flux reconstruction schemes},
  journal = {INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS},
  year = {2014},
  volume = {75},
  pages = {860--877},
  month = aug,
  publisher = {WILEY-BLACKWELL},
  doi = {10.1002/fld.3915},
  issn = {0271-2091},
  issue = {12},
  keyword = {SPECTRAL DIFFERENCE METHOD},
  language = {English},
  day = {30},
  publicationstatus = {published},
  groups = {core}
}

E. Ferrer, D. Moxey, R. H. J. Willden and S. J. Sherwin

Stability of Projection Methods for Incompressible Flows Using High Order Pressure-Velocity Pairs of Same Degree: Continuous and Discontinuous Galerkin Formulations

Communications in Computational Physics, 16 (3), pp. 817–840, 2014. doi 10.4208/cicp.290114.170414a

BiBTeX

@article{2014:ferrer.moxey.ea:stability,
  author = {Ferrer, E. and Moxey, D. and Willden, R. H. J. and Sherwin, S. J.},
  title = {Stability of Projection Methods for Incompressible Flows Using High Order Pressure-Velocity Pairs of Same Degree: Continuous and Discontinuous Galerkin Formulations},
  journal = {Communications in Computational Physics},
  publisher = {Global Science Press},
  year = {2014},
  volume = {16},
  number = {3},
  pages = {817--840},
  groups = {sherwin},
  doi = {10.4208/cicp.290114.170414a}
}

B. E. Jordi, C. J. Cotter and S. J. Sherwin

Encapsulated formulation of the selective frequency damping method

PHYSICS OF FLUIDS, 26 (3), 2014. doi 10.1063/1.4867482

BiBTeX

@article{2014:jordi.cotter.ea:encapsulated,
  author = {Jordi, B. E. and Cotter, C. J. and Sherwin, S. J.},
  title = {Encapsulated formulation of the selective frequency damping method},
  journal = {PHYSICS OF FLUIDS},
  year = {2014},
  volume = {26},
  number = {ARTN 034101},
  month = mar,
  publisher = {AMER INST PHYSICS},
  doi = {10.1063/1.4867482},
  issn = {1070-6631},
  issue = {3},
  keyword = {WAKE},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {core}
}

J. King, S. Yakovlev, Z. Fu, R. M. Kirby and S. J. Sherwin

Exploiting Batch Processing on Streaming Architectures to Solve 2D Elliptic Finite Element Problems: A Hybridized Discontinuous Galerkin (HDG) Case Study

JOURNAL OF SCIENTIFIC COMPUTING, 60 (2), pp. 457–482, 2014. doi 10.1007/s10915-013-9805-x

BiBTeX

@article{2014:king.yakovlev.ea:exploiting,
  author = {King, J. and Yakovlev, S. and Fu, Z. and Kirby, R. M. and Sherwin, S. J.},
  title = {Exploiting Batch Processing on Streaming Architectures to Solve 2D Elliptic Finite Element Problems: A Hybridized Discontinuous Galerkin (HDG) Case Study},
  journal = {JOURNAL OF SCIENTIFIC COMPUTING},
  year = {2014},
  volume = {60},
  pages = {457--482},
  month = aug,
  publisher = {SPRINGER/PLENUM PUBLISHERS},
  doi = {10.1007/s10915-013-9805-x},
  issn = {0885-7474},
  issue = {2},
  keyword = {Graphical processing units (GPUs)},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {app}
}

Y. Mohamied, E. M. Rowland, E. L. Bailey, S. J. Sherwin, M. A. Schwartz and P. D. Weinberg

Change of Direction in the Biomechanics of Atherosclerosis

Annals of Biomedical Engineering, 43 (1), pp. 16–25, 2014. doi 10.1007/s10439-014-1095-4

BiBTeX

@article{2014:mohamied.rowland.ea:change,
  author = {Mohamied, Yumnah and Rowland, Ethan M. and Bailey, Emma L. and Sherwin, Spencer J. and Schwartz, Martin A. and Weinberg, Peter D.},
  title = {Change of Direction in the Biomechanics of Atherosclerosis},
  journal = {Annals of Biomedical Engineering},
  publisher = {Springer Science and Business Media LLC},
  year = {2014},
  volume = {43},
  number = {1},
  pages = {16--25},
  groups = {sherwin},
  doi = {10.1007/s10439-014-1095-4}
}

Z. Mohri, E. M. Rowland, L. A. Clarke, A. De Luca, V. Peiffer, R. Krams, S. J. Sherwin and P. D. Weinberg

Elevated Uptake of Plasma Macromolecules by Regions of Arterial Wall Predisposed to Plaque Instability in a Mouse Model

PLoS ONE, 9 (12), p. e115728, 2014. doi 10.1371/journal.pone.0115728

BiBTeX

@article{2014:mohri.rowland.ea:elevated,
  author = {Mohri, Zahra and Rowland, Ethan M. and Clarke, Lindsey A. and De Luca, Amalia and Peiffer, Véronique and Krams, Rob and Sherwin, Spencer J. and Weinberg, Peter D.},
  title = {Elevated Uptake of Plasma Macromolecules by Regions of Arterial Wall Predisposed to Plaque Instability in a Mouse Model},
  journal = {PLoS ONE},
  publisher = {Public Library of Science (PLoS)},
  year = {2014},
  volume = {9},
  number = {12},
  pages = {e115728},
  groups = {sherwin},
  doi = {10.1371/journal.pone.0115728}
}

C. M. Warboys, A. de Luca, N. Amini, L. Luong, H. Duckles, S. Hsiao, A. White, S. Biswas, R. Khamis, C. K. Chong, W.-M. Cheung, S. J. Sherwin, M. R. Bennett, J. Gil, J. C. Mason, D. O. Haskard and P. C. Evans

Disturbed Flow Promotes Endothelial Senescence via a p53-Dependent Pathway

Arteriosclerosis, Thrombosis, and Vascular Biology, 34 (5), pp. 985–995, 2014. doi 10.1161/atvbaha.114.303415

BiBTeX

@article{2014:warboys.deluca.ea:disturbed,
  author = {Warboys, Christina M. and de Luca, Amalia and Amini, Narges and Luong, Le and Duckles, Hayley and Hsiao, Sarah and White, Alex and Biswas, Shukti and Khamis, Ramzi and Chong, Chuh K. and Cheung, Wai-Mun and Sherwin, Spencer J. and Bennett, Martin R. and Gil, Jesus and Mason, Justin C. and Haskard, Dorian O. and Evans, Paul C.},
  title = {Disturbed Flow Promotes Endothelial Senescence via a p53-Dependent Pathway},
  journal = {Arteriosclerosis, Thrombosis, and Vascular Biology},
  publisher = {Ovid Technologies (Wolters Kluwer Health)},
  year = {2014},
  volume = {34},
  number = {5},
  pages = {985--995},
  groups = {sherwin},
  doi = {10.1161/atvbaha.114.303415}
}

2013

G. R. S. Assi, P. W. Bearman, B. S. Carmo, J. R. Meneghini, S. J. Sherwin and R. H. J. Willden

The role of wake stiffness on the wake-induced vibration of the downstream cylinder of a tandem pair

Journal of Fluid Mechanics, 718, pp. 210–245, 2013. doi 10.1017/jfm.2012.606

BiBTeX

@article{2013:assi.bearman.ea:role,
  author = {Assi, G. R. S. and Bearman, P. W. and Carmo, B. S. and Meneghini, J. R. and Sherwin, S. J. and Willden, R. H. J.},
  title = {The role of wake stiffness on the wake-induced vibration of the downstream cylinder of a tandem pair},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2013},
  volume = {718},
  pages = {210--245},
  groups = {sherwin},
  doi = {10.1017/jfm.2012.606}
}

H. M. Blackburn, P. Hall and S. J. Sherwin

Lower branch equilibria in Couette flow: the emergence of canonical states for arbitrary shear flows

JOURNAL OF FLUID MECHANICS, 726 (ARTN R2), 2013. doi 10.1017/jfm.2013.254

BiBTeX

@article{2013:blackburn.hall.ea:lower,
  author = {Blackburn, H. M. and Hall, P. and Sherwin, S. J.},
  title = {Lower branch equilibria in Couette flow: the emergence of canonical states for arbitrary shear flows},
  journal = {JOURNAL OF FLUID MECHANICS},
  year = {2013},
  volume = {726},
  number = {ARTN R2},
  month = jul,
  publisher = {CAMBRIDGE UNIV PRESS},
  doi = {10.1017/jfm.2013.254},
  issn = {0022-1120},
  keyword = {VORTICES},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {app}
}

A. De Luca, C. Warboys, N. Amini, P. Ferreira, D. Firmin, J. Mason, S. Sherwin and P. Evans

170 TRANSCRIPTOME PROFILING IN PORCINE ARTERIES TO IDENTIFY NOVEL SHEAR-RESPONSIVE REGULATORS OF ENDOTHELIAL CELL FATE

Heart, 99 (suppl 2), pp. A98.2–A99, 2013. doi 10.1136/heartjnl-2013-304019.170

BiBTeX

@article{2013:deluca.warboys.ea:170,
  author = {De Luca, A and Warboys, C and Amini, N and Ferreira, P and Firmin, D and Mason, J and Sherwin, S and Evans, P},
  title = {170 TRANSCRIPTOME PROFILING IN PORCINE ARTERIES TO IDENTIFY NOVEL SHEAR-RESPONSIVE REGULATORS OF ENDOTHELIAL CELL FATE},
  journal = {Heart},
  publisher = {BMJ},
  year = {2013},
  volume = {99},
  number = {suppl 2},
  pages = {A98.2--A99},
  groups = {sherwin},
  doi = {10.1136/heartjnl-2013-304019.170}
}

X. Mao, H. M. Blackburn and S. J. Sherwin

Calculation of global optimal initial and boundary perturbations for the linearised incompressible Navier–Stokes equations

Journal of Computational Physics, 235, pp. 258–273, 2013. doi 10.1016/j.jcp.2012.10.049

BiBTeX

@article{2013:mao.blackburn.ea:calculation,
  author = {Mao, Xuerui and Blackburn, Hugh M. and Sherwin, Spencer J.},
  title = {Calculation of global optimal initial and boundary perturbations for the linearised incompressible Navier--Stokes equations},
  journal = {Journal of Computational Physics},
  publisher = {Elsevier BV},
  year = {2013},
  volume = {235},
  pages = {258--273},
  groups = {sherwin},
  doi = {10.1016/j.jcp.2012.10.049}
}

V. Peiffer, S. J. Sherwin and P. D. Weinberg
Computation in the rabbit aorta of a new metric - the transverse wall shear stress - to quantify the multidirectional character of disturbed blood flow
JOURNAL OF BIOMECHANICS, 46 (15), pp. 2651–2658, 2013. doi 10.1016/j.jbiomech.2013.08.003
BiBTeX Abstract
```
@article{2013:peiffer.sherwin.ea:computation,
  author = {Peiffer, V. and Sherwin, S. J. and Weinberg, P. D.},
  title = {Computation in the rabbit aorta of a new metric - the transverse wall shear stress - to quantify the multidirectional character of disturbed blood flow},
  journal = {JOURNAL OF BIOMECHANICS},
  year = {2013},
  volume = {46},
  pages = {2651--2658},
  month = oct,
  publisher = {ELSEVIER SCI LTD},
  doi = {10.1016/j.jbiomech.2013.08.003},
  issn = {0021-9290},
  issue = {15},
  keyword = {BRANCHES},
  language = {English},
  day = {18},
  publicationstatus = {published},
  groups = {app}
}
```
Spatial variation of the haemodynamic stresses acting on the arterial wall is commonly assumed to explain the focal development of atherosclerosis. Disturbed flow in particular is thought to play a key role. However, widely-used metrics developed to quantify its extent are unable to distinguish between uniaxial and multidirectional flows. We analysed pulsatile flow fields obtained in idealised and anatomically-realistic arterial geometries using computational fluid dynamics techniques, and in particular investigated the multidirectionality of the flow fields, capturing this aspect of near-wall blood flow with a new metric, the transverse wall shear stress (transWSS), calculated as the time-average of wall shear stress components perpendicular to the mean flow direction. In the idealised branching geometry, multidirectional flow was observed downstream of the branch ostium, a region of flow stagnation, and to the sides of the ostium. The distribution of the transWSS was different from the pattern of traditional haemodynamic metrics and more dependent on the velocity waveform imposed at the branch outlet. In rabbit aortas, transWSS patterns were again different from patterns of traditional metrics. The near-branch pattern varied between intercostal ostia, as is the case for lesion distribution; for some branches there were striking resemblances to the age-dependent patterns of disease seen in rabbit and human aortas. The new metric may lead to improved understanding of atherogenesis.

V. Peiffer, S. J. Sherwin and P. D. Weinberg

Does low and oscillatory wall shear stress correlate spatially with early atherosclerosis? A systematic review

Cardiovascular Research, 99 (2), pp. 242–250, 2013. doi 10.1093/cvr/cvt044

BiBTeX

@article{2013:peiffer.sherwin.ea:does,
  author = {Peiffer, Veronique and Sherwin, Spencer J. and Weinberg, Peter D.},
  title = {Does low and oscillatory wall shear stress correlate spatially with early atherosclerosis? A systematic review},
  journal = {Cardiovascular Research},
  publisher = {Oxford University Press (OUP)},
  year = {2013},
  volume = {99},
  number = {2},
  pages = {242--250},
  groups = {sherwin},
  doi = {10.1093/cvr/cvt044}
}

V. Peiffer, A. A. Bharath, S. J. Sherwin and P. D. Weinberg

A Novel Method for Quantifying Spatial Correlations Between Patterns of Atherosclerosis and Hemodynamic Factors

Journal of Biomechanical Engineering, 135 (2), 2013. doi 10.1115/1.4023381

BiBTeX

@article{2013:peiffer.bharath.ea:novel,
  author = {Peiffer, Véronique and Bharath, Anil A. and Sherwin, Spencer J. and Weinberg, Peter D.},
  title = {A Novel Method for Quantifying Spatial Correlations Between Patterns of Atherosclerosis and Hemodynamic Factors},
  journal = {Journal of Biomechanical Engineering},
  publisher = {ASME International},
  year = {2013},
  volume = {135},
  number = {2},
  groups = {sherwin},
  doi = {10.1115/1.4023381}
}

D. A. Steinman, Y. Hoi, P. Fahy, L. Morris, M. T. Walsh, N. Aristokleous, A. S. Anayiotos, Y. Papaharilaou, A. Arzani, S. C. Shadden, P. Berg, G. Janiga, J. Bols, P. Segers, N. W. Bressloff, M. Cibis, F. H. Gijsen, S. Cito, J. Pallarés, L. D. Browne, J. A. Costelloe, A. G. Lynch, J. Degroote, J. Vierendeels, W. Fu, A. Qiao, S. Hodis, D. F. Kallmes, H. Kalsi, Q. Long, V. O. Kheyfets, E. A. Finol, K. Kono, A. M. Malek, A. Lauric, P. G. Menon, K. Pekkan, M. Esmaily Moghadam, A. L. Marsden, M. Oshima, K. Katagiri, V. Peiffer, Y. Mohamied, S. J. Sherwin, J. Schaller, L. Goubergrits, G. Usera, M. Mendina, K. Valen-Sendstad, D. F. Habets, J. Xiang, H. Meng, Y. Yu, G. E. Karniadakis, N. Shaffer and F. Loth

Variability of Computational Fluid Dynamics Solutions for Pressure and Flow in a Giant Aneurysm: The ASME 2012 Summer Bioengineering Conference CFD Challenge

Journal of Biomechanical Engineering, 135 (2), 2013. doi 10.1115/1.4023382

BiBTeX

@article{2013:steinman.hoi.ea:variability,
  author = {Steinman, David A. and Hoi, Yiemeng and Fahy, Paul and Morris, Liam and Walsh, Michael T. and Aristokleous, Nicolas and Anayiotos, Andreas S. and Papaharilaou, Yannis and Arzani, Amirhossein and Shadden, Shawn C. and Berg, Philipp and Janiga, Gábor and Bols, Joris and Segers, Patrick and Bressloff, Neil W. and Cibis, Merih and Gijsen, Frank H. and Cito, Salvatore and Pallarés, Jordi and Browne, Leonard D. and Costelloe, Jennifer A. and Lynch, Adrian G. and Degroote, Joris and Vierendeels, Jan and Fu, Wenyu and Qiao, Aike and Hodis, Simona and Kallmes, David F. and Kalsi, Hardeep and Long, Quan and Kheyfets, Vitaly O. and Finol, Ender A. and Kono, Kenichi and Malek, Adel M. and Lauric, Alexandra and Menon, Prahlad G. and Pekkan, Kerem and Esmaily Moghadam, Mahdi and Marsden, Alison L. and Oshima, Marie and Katagiri, Kengo and Peiffer, Véronique and Mohamied, Yumnah and Sherwin, Spencer J. and Schaller, Jens and Goubergrits, Leonid and Usera, Gabriel and Mendina, Mariana and Valen-Sendstad, Kristian and Habets, Damiaan F. and Xiang, Jianping and Meng, Hui and Yu, Yue and Karniadakis, George E. and Shaffer, Nicholas and Loth, Francis},
  title = {Variability of Computational Fluid Dynamics Solutions for Pressure and Flow in a Giant Aneurysm: The ASME 2012 Summer Bioengineering Conference CFD Challenge},
  journal = {Journal of Biomechanical Engineering},
  publisher = {ASME International},
  year = {2013},
  volume = {135},
  number = {2},
  groups = {sherwin},
  doi = {10.1115/1.4023382}
}

2012

J. Alastruey, J. H. Siggers, V. Peiffer, D. J. Doorly and S. J. Sherwin

Reducing the data: Analysis of the role of vascular geometry on blood flow patterns in curved vessels

Physics of Fluids, 24 (3), 2012. doi 10.1063/1.3694526

BiBTeX

@article{2012:alastruey.siggers.ea:reducing,
  author = {Alastruey, Jordi and Siggers, Jennifer H. and Peiffer, Véronique and Doorly, Denis J. and Sherwin, Spencer J.},
  title = {Reducing the data: Analysis of the role of vascular geometry on blood flow patterns in curved vessels},
  journal = {Physics of Fluids},
  publisher = {AIP Publishing},
  year = {2012},
  volume = {24},
  number = {3},
  groups = {sherwin},
  doi = {10.1063/1.3694526}
}

R. M. Kirby, B. Cockburn and S. J. Sherwin
To CG or to HDG: A Comparative Study
Journal of Scientific Computing, 51 (1), pp. 183–212, 2012. doi 10.1007/s10915-011-9501-7
BiBTeX Abstract
```
@article{2012:kirby.cockburn.ea:to,
  author = {Kirby, Robert M. and Cockburn, Bernardo and Sherwin, Spencer J.},
  title = {To CG or to HDG: A Comparative Study},
  journal = {Journal of Scientific Computing},
  year = {2012},
  volume = {51},
  pages = {183--212},
  issue = {1},
  doi = {10.1007/s10915-011-9501-7},
  groups = {core}
}
```
Hybridization through the border of the elements (hybrid unknowns) combined with a Schur complement procedure (often called static condensation in the context of continuous Galerkin linear elasticity computations) has in various forms been advocated in the mathematical and engineering literature as a means of accomplishing domain decomposition, of obtaining increased accuracy and convergence results, and of algorithm optimization. Recent work on the hybridization of mixed methods, and in particular of the discontinuous Galerkin (DG) method, holds the promise of capitalizing on the three aforementioned properties; in particular, of generating a numerical scheme that is discontinuous in both the primary and flux variables, is locally conservative, and is computationally competitive with traditional continuous Galerkin (CG) approaches. In this paper we present both implementation and optimization strategies for the Hybridizable Discontinuous Galerkin (HDG) method applied to two dimensional elliptic operators. We implement our HDG approach within a spectral/hp element framework so that comparisons can be done between HDG and the traditional CG approach. We demonstrate that the HDG approach generates a global trace space system for the unknown that although larger in rank than the traditional static condensation system in CG, has significantly smaller bandwidth at moderate polynomial orders. We show that if one ignores set-up costs, above approximately fourth-degree polynomial expansions on triangles and quadrilaterals the HDG method can be made to be as efficient as the CG approach, making it competitive for time-dependent problems even before taking into consideration other properties of DG schemes such as their superconvergence properties and their ability to handle hp-adaptivity.

X. Mao, H. M. Blackburn and S. J. Sherwin

Optimal inflow boundary condition perturbations in steady stenotic flow

Journal of Fluid Mechanics, 705, pp. 306–321, 2012. doi 10.1017/jfm.2012.58

BiBTeX

@article{2012:mao.blackburn.ea:optimal,
  author = {Mao, X. and Blackburn, H. M. and Sherwin, S. J.},
  title = {Optimal inflow boundary condition perturbations in steady stenotic flow},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2012},
  volume = {705},
  pages = {306--321},
  groups = {sherwin},
  doi = {10.1017/jfm.2012.58}
}

X. Mao and S. J. Sherwin

Transient growth associated with continuous spectra of the Batchelor vortex

Journal of Fluid Mechanics, 697, pp. 35–59, 2012. doi 10.1017/jfm.2012.33

BiBTeX

@article{2012:mao.sherwin:transient,
  author = {Mao, X. and Sherwin, S. J.},
  title = {Transient growth associated with continuous spectra of the Batchelor vortex},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2012},
  volume = {697},
  pages = {35--59},
  groups = {sherwin},
  doi = {10.1017/jfm.2012.33}
}

X. Mao, S. J. Sherwin and H. M. Blackburn

Non-normal dynamics of time-evolving co-rotating vortex pairs

Journal of Fluid Mechanics, 701, pp. 430–459, 2012. doi 10.1017/jfm.2012.171

BiBTeX

@article{2012:mao.sherwin.ea:nonnormal,
  author = {Mao, X. and Sherwin, S. J. and Blackburn, H. M.},
  title = {Non-normal dynamics of time-evolving co-rotating vortex pairs},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2012},
  volume = {701},
  pages = {430--459},
  groups = {sherwin},
  doi = {10.1017/jfm.2012.171}
}

G. R. Markall, A. Slemmer, D. A. Ham, P. H. J. Kelly, C. D. Cantwell and S. J. Sherwin

Finite element assembly strategies on multi-core and many-core architectures

International Journal for Numerical Methods in Fluids, 71 (1), pp. 80–97, 2012. doi 10.1002/fld.3648

BiBTeX

@article{2012:markall.slemmer.ea:finite,
  author = {Markall, G. R. and Slemmer, A. and Ham, D. A. and Kelly, P. H. J. and Cantwell, C. D. and Sherwin, S. J.},
  title = {Finite element assembly strategies on multi-core and many-core architectures},
  journal = {International Journal for Numerical Methods in Fluids},
  publisher = {Wiley},
  year = {2012},
  volume = {71},
  number = {1},
  pages = {80--97},
  groups = {sherwin},
  doi = {10.1002/fld.3648}
}

V. Peiffer, E. M. Rowland, S. G. Cremers, P. D. Weinberg and S. J. Sherwin
Effect of aortic taper on patterns of blood flow and wall shear stress in rabbits: Association with age
ATHEROSCLEROSIS, 223 (1), pp. 114–121, 2012. doi 10.1016/j.atherosclerosis.2012.04.020
BiBTeX Abstract
```
@article{2012:peiffer.rowland.ea:effect,
  author = {Peiffer, V. and Rowland, E. M. and Cremers, S. G. and Weinberg, P. D. and Sherwin, S. J.},
  title = {Effect of aortic taper on patterns of blood flow and wall shear stress in rabbits: Association with age},
  journal = {ATHEROSCLEROSIS},
  year = {2012},
  volume = {223},
  pages = {114--121},
  month = jul,
  publisher = {ELSEVIER IRELAND LTD},
  doi = {10.1016/j.atherosclerosis.2012.04.020},
  issn = {0021-9150},
  issue = {1},
  keyword = {ARCH},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {app}
}
```
Objective: The distribution of atherosclerotic lesions changes with age in human and rabbit aortas. We investigated if this can be explained by changes in patterns of blood flow and wall shear stress. Methods: The luminal geometry of thoracic aortas from immature and mature rabbits was obtained by micro-CT of vascular corrosion casts. Blood flow was computed and average maps of wall shear stress were derived. Results: The branch anatomy of the aortic arch varied widely between animals. Wall shear was increased downstream and to a lesser extent upstream of intercostal branch ostia, and a stripe of high shear was located on the dorsal descending aortic wall. The stripe was associated with two vortices generated by aortic arch curvature; their persistence into the descending aorta depended on aortic taper and was more pronounced in mature geometries. These results were not sensitive to the modelling assumptions. Conclusions: Blood flow characteristics in the rabbit aorta were affected by the degree of taper, which tends to increase with age in the aortic arch and strengthens secondary flows into the descending aorta. Previously-observed lesion distributions correlated better with high than low shear, and age-related changes around branch ostia were not explained by the flow patterns.

2011

J. Alastruey, A. W. Khir, K. S. Matthys, P. Segers, S. J. Sherwin, P. R. Verdonck, K. H. Parker and J. Peiró

Pulse wave propagation in a model human arterial network: Assessment of 1-D visco-elastic simulations against in vitro measurements

Journal of Biomechanics, 44 (12), pp. 2250–2258, 2011. doi 10.1016/j.jbiomech.2011.05.041

BiBTeX

@article{2011:alastruey.khir.ea:pulse,
  author = {Alastruey, Jordi and Khir, Ashraf W. and Matthys, Koen S. and Segers, Patrick and Sherwin, Spencer J. and Verdonck, Pascal R. and Parker, Kim H. and Peiró, Joaquim},
  title = {Pulse wave propagation in a model human arterial network: Assessment of 1-D visco-elastic simulations against in vitro measurements},
  journal = {Journal of Biomechanics},
  publisher = {Elsevier BV},
  year = {2011},
  volume = {44},
  number = {12},
  pages = {2250--2258},
  groups = {sherwin},
  doi = {10.1016/j.jbiomech.2011.05.041}
}

C. D. Cantwell, S. J. Sherwin, R. M. Kirby and P. H. J. Kelly
From h to p efficiently: Strategy selection for operator evaluation on hexahedral and tetrahedral elements
COMPUTERS & FLUIDS, 43 (1), pp. 23–28, 2011. doi 10.1016/j.compfluid.2010.08.012
BiBTeX Abstract
```
@article{2011:cantwell.sherwin.ea:from*1,
  author = {Cantwell, C. D. and Sherwin, S. J. and Kirby, R. M. and Kelly, P. H. J.},
  title = {From h to p efficiently: Strategy selection for operator evaluation on hexahedral and tetrahedral elements},
  journal = {COMPUTERS \& FLUIDS},
  year = {2011},
  volume = {43},
  pages = {23--28},
  month = apr,
  organization = {Lausanne, SWITZERLAND},
  publisher = {PERGAMON-ELSEVIER SCIENCE LTD},
  doi = {10.1016/j.compfluid.2010.08.012},
  startyear = {2010},
  startmonth = {Feb},
  startday = {15},
  finishyear = {2010},
  finishmonth = {Feb},
  finishday = {16},
  issn = {0045-7930},
  issue = {1},
  keyword = {FLOW},
  language = {English},
  conference = {Symposium on High Accuracy Flow Simulations},
  day = {1},
  publicationstatus = {published},
  groups = {core}
}
```
A spectral/hp element discretisation permits both geometric flexibility and beneficial convergence properties to be attained simultaneously. The choice of elemental polynomial order has a profound effect on the efficiency of different implementation strategies with their performance varying substantially for low and high order spectral/hp discretisations. We examine how careful selection of the strategy minimises computational cost across a range of polynomial orders in three dimensions and compare how different operators, and the choice of element shape, lead to different break-even points between the implementations. In three dimensions, higher expansion orders quickly lead to a large increase in the number of element-interior modes, particularly in hexahedral elements. For a typical boundary interior modal decomposition, this can rapidly lead to a poor performance from a global approach, while a sum-factorisation technique, exploiting the tensor-product structure of elemental expansions, leads to better performance. Furthermore, increased memory requirements may cause an implementation to show poor runtime performance on a given system, even if the strict operation count is minimal, due to detrimental caching effects and other machine-dependent factors.
C. D. Cantwell, S. J. Sherwin, R. M. Kirby and P. H. J. Kelly
From h to p Efficiently: Selecting the Optimal Spectral/hp Discretisation in Three Dimensions
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 6 (3), pp. 84–96, 2011. doi 10.1051/mmnp/20116304
BiBTeX Abstract
```
@article{2011:cantwell.sherwin.ea:from,
  author = {Cantwell, C. D. and Sherwin, S. J. and Kirby, R. M. and Kelly, P. H. J.},
  title = {From h to p Efficiently: Selecting the Optimal Spectral/hp Discretisation in Three Dimensions},
  journal = {MATHEMATICAL MODELLING OF NATURAL PHENOMENA},
  year = {2011},
  volume = {6},
  pages = {84--96},
  month = jan,
  publisher = {EDP SCIENCES S A},
  doi = {10.1051/mmnp/20116304},
  issn = {0973-5348},
  issue = {3},
  keyword = {FLOW},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {core}
}
```
There is a growing interest in high-order finite and spectral/hp element methods using continuous and discontinuous Galerkin formulations. In this paper we investigate the effect of h- and p-type refinement on the relationship between runtime performance and solution accuracy. The broad spectrum of possible domain discretisations makes establishing a performance-optimal selection non-trivial. Through comparing the runtime of different implementations for evaluating operators over the space of discretisations with a desired solution tolerance, we demonstrate how the optimal discretisation and operator implementation may be selected for a specified problem. Furthermore, this demonstrates the need for codes to support both low- and high-order discretisations.

B. S. Carmo, S. J. Sherwin, P. W. Bearman and R. H. J. Willden

Flow-induced vibration of a circular cylinder subjected to wake interference at low Reynolds number

Journal of Fluids and Structures, 27 (4), pp. 503–522, 2011. doi 10.1016/j.jfluidstructs.2011.04.003

BiBTeX

@article{2011:carmo.sherwin.ea:flowinduced,
  author = {Carmo, B.S. and Sherwin, S.J. and Bearman, P.W. and Willden, R.H.J.},
  title = {Flow-induced vibration of a circular cylinder subjected to wake interference at low Reynolds number},
  journal = {Journal of Fluids and Structures},
  publisher = {Elsevier BV},
  year = {2011},
  volume = {27},
  number = {4},
  pages = {503--522},
  groups = {sherwin},
  doi = {10.1016/j.jfluidstructs.2011.04.003}
}

L. González, V. Theofilis and S. J. Sherwin

High-order methods for the numerical solution of the BiGlobal linear stability eigenvalue problem in complex geometries

International Journal for Numerical Methods in Fluids, 65 (8), pp. 923–952, 2011. doi 10.1002/fld.2220

BiBTeX

@article{2011:gonzalez.theofilis.ea:highorder,
  author = {González, L. and Theofilis, V. and Sherwin, S. J.},
  title = {High-order methods for the numerical solution of the BiGlobal linear stability eigenvalue problem in complex geometries},
  journal = {International Journal for Numerical Methods in Fluids},
  publisher = {Wiley},
  year = {2011},
  volume = {65},
  number = {8},
  pages = {923--952},
  groups = {sherwin},
  doi = {10.1002/fld.2220}
}

A. Kazakidi, A. M. Plata, S. J. Sherwin and P. D. Weinberg

Effect of reverse flow on the pattern of wall shear stress near arterial branches

Journal of The Royal Society Interface, 8 (64), pp. 1594–1603, 2011. doi 10.1098/rsif.2011.0108

BiBTeX

@article{2011:kazakidi.plata.ea:effect,
  author = {Kazakidi, A. and Plata, A. M. and Sherwin, S. J. and Weinberg, P. D.},
  title = {Effect of reverse flow on the pattern of wall shear stress near arterial branches},
  journal = {Journal of The Royal Society Interface},
  publisher = {The Royal Society},
  year = {2011},
  volume = {8},
  number = {64},
  pages = {1594--1603},
  groups = {sherwin},
  doi = {10.1098/rsif.2011.0108}
}

X. Mao and S. Sherwin

Continuous spectra of the Batchelor vortex

Journal of Fluid Mechanics, 681, pp. 1–23, 2011. doi 10.1017/jfm.2011.194

BiBTeX

@article{2011:mao.sherwin:continuous,
  author = {Mao, Xuerui and Sherwin, Spencer},
  title = {Continuous spectra of the Batchelor vortex},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2011},
  volume = {681},
  pages = {1--23},
  groups = {sherwin},
  doi = {10.1017/jfm.2011.194}
}

A. S. Sharma, J. F. Morrison, B. J. McKeon, D. J. N. Limebeer, W. H. Koberg and S. J. Sherwin

Relaminarisation of Reτ = 100 channel flow with globally stabilising linear feedback control

Physics of Fluids, 23 (12), 2011. doi 10.1063/1.3662449

BiBTeX

@article{2011:sharma.morrison.ea:relaminarisation,
  author = {Sharma, A. S. and Morrison, J. F. and McKeon, B. J. and Limebeer, D. J. N. and Koberg, W. H. and Sherwin, S. J.},
  title = {Relaminarisation of Reτ = 100 channel flow with globally stabilising linear feedback control},
  journal = {Physics of Fluids},
  publisher = {AIP Publishing},
  year = {2011},
  volume = {23},
  number = {12},
  groups = {sherwin},
  doi = {10.1063/1.3662449}
}

P. E. Vincent, A. M. Plata, A. A. E. Hunt, P. D. Weinberg and S. J. Sherwin

Blood flow in the rabbit aortic arch and descending thoracic aorta

Journal of The Royal Society Interface, 8 (65), pp. 1708–1719, 2011. doi 10.1098/rsif.2011.0116

BiBTeX

@article{2011:vincent.plata.ea:blood,
  author = {Vincent, P. E. and Plata, A. M. and Hunt, A. A. E. and Weinberg, P. D. and Sherwin, S. J.},
  title = {Blood flow in the rabbit aortic arch and descending thoracic aorta},
  journal = {Journal of The Royal Society Interface},
  publisher = {The Royal Society},
  year = {2011},
  volume = {8},
  number = {65},
  pages = {1708--1719},
  groups = {sherwin},
  doi = {10.1098/rsif.2011.0116}
}

P. E. J. Vos, C. Eskilsson, A. Bolis, S. Chun, R. M. Kirby and S. J. Sherwin
A Generic Framework for Time-Stepping PDEs: General Linear Methods, Object-Oriented Implementations and Applications to Fluid Problems
International Journal of Computational Fluid Dynamics, 25 (3), pp. 107–125, 2011. doi 10.1080/10618562.2011.575368
BiBTeX Abstract
```
@article{2011:vos.eskilsson.ea:generic,
  author = {Vos, Peter E. J. and Eskilsson, Claes and Bolis, Alessandro and Chun, Sehun and Kirby, Robert M. and Sherwin, Spencer J.},
  title = {A Generic Framework for Time-Stepping PDEs: General Linear Methods, Object-Oriented Implementations and Applications to Fluid Problems},
  journal = {International Journal of Computational Fluid Dynamics},
  year = {2011},
  volume = {25},
  pages = {107--125},
  issue = {3},
  doi = {10.1080/10618562.2011.575368},
  groups = {core}
}
```
Time-stepping algorithms and their implementations are a critical component within the solution of time-dependent partial differential equations (PDEs). In this article, we present a generic framework,both in terms of algorithms and implementations, that allows an almost seamless switch between various explicit, implicit and implicit explicit (IMEX) time-stepping methods. We put particular emphasis on how to incorporate time-dependent boundary conditions, an issue that goes beyond classical ODE theory but which plays an important role in the time-stepping of the PDEs arising in computational fluid dynamics. Our algorithm is based upon J.C. Butcher’s unifying concept of general linear methods that we have extended to accommodate the family of IMEX schemes that are often used in engineering practice. In the article, we discuss design considerations and present an object-oriented implementation. Finally, we illustrate the use of the framework by applications to a model problem as well as to more complex fluid problems.

S. L. Waters, J. Alastruey, D. A. Beard, P. H. M. Bovendeerd, P. F. Davies, G. Jayaraman, O. E. Jensen, J. Lee, K. H. Parker, A. S. Popel, T. W. Secomb, M. Siebes, S. J. Sherwin, R. J. Shipley, N. P. Smith and F. N. van de Vosse

Theoretical models for coronary vascular biomechanics: Progress & challenges

Progress in Biophysics and Molecular Biology, 104 (1-3), pp. 49–76, 2011. doi 10.1016/j.pbiomolbio.2010.10.001

BiBTeX

@article{2011:waters.alastruey.ea:theoretical,
  author = {Waters, Sarah L. and Alastruey, Jordi and Beard, Daniel A. and Bovendeerd, Peter H.M. and Davies, Peter F. and Jayaraman, Girija and Jensen, Oliver E. and Lee, Jack and Parker, Kim H. and Popel, Aleksander S. and Secomb, Timothy W. and Siebes, Maria and Sherwin, Spencer J. and Shipley, Rebecca J. and Smith, Nicolas P. and van de Vosse, Frans N.},
  title = {Theoretical models for coronary vascular biomechanics: Progress & challenges},
  journal = {Progress in Biophysics and Molecular Biology},
  publisher = {Elsevier BV},
  year = {2011},
  volume = {104},
  number = {1-3},
  pages = {49--76},
  groups = {sherwin},
  doi = {10.1016/j.pbiomolbio.2010.10.001}
}

2010

J. Alastruey, S. J. Sherwin, K. H. Parker and D. D. Rubens

Reply to ’Cord clamp insult may predispose to SIDS’

Early Human Development, 86 (1), p. 67, 2010. doi 10.1016/j.earlhumdev.2009.12.002

BiBTeX

@article{2010:alastruey.sherwin.ea:reply,
  author = {Alastruey, Jordi and Sherwin, Spencer J. and Parker, Kim H. and Rubens, Daniel D.},
  title = {Reply to 'Cord clamp insult may predispose to SIDS'},
  journal = {Early Human Development},
  publisher = {Elsevier BV},
  year = {2010},
  volume = {86},
  number = {1},
  pages = {67},
  groups = {sherwin},
  doi = {10.1016/j.earlhumdev.2009.12.002}
}

B. S. Carmo, J. R. Meneghini and S. J. Sherwin

Possible states in the flow around two circular cylinders in tandem with separations in the vicinity of the drag inversion spacing

Physics of Fluids, 22 (5), 2010. doi 10.1063/1.3420111

BiBTeX

@article{2010:carmo.meneghini.ea:possible,
  author = {Carmo, B. S. and Meneghini, J. R. and Sherwin, S. J.},
  title = {Possible states in the flow around two circular cylinders in tandem with separations in the vicinity of the drag inversion spacing},
  journal = {Physics of Fluids},
  publisher = {AIP Publishing},
  year = {2010},
  volume = {22},
  number = {5},
  groups = {sherwin},
  doi = {10.1063/1.3420111}
}

B. S. Carmo, J. R. Meneghini and S. J. Sherwin

Secondary instabilities in the flow around two circular cylinders in tandem

Journal of Fluid Mechanics, 644, pp. 395–431, 2010. doi 10.1017/s0022112009992473

BiBTeX

@article{2010:carmo.meneghini.ea:secondary,
  author = {Carmo, Bruno S. and Meneghini, Julio R. and Sherwin, Spencer J.},
  title = {Secondary instabilities in the flow around two circular cylinders in tandem},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2010},
  volume = {644},
  pages = {395--431},
  groups = {sherwin},
  doi = {10.1017/s0022112009992473}
}

A. N. Cookson, D. J. Doorly and S. J. Sherwin

Using coordinate transformation of Navier–Stokes equations to solve flow in multiple helical geometries

Journal of Computational and Applied Mathematics, 234 (7), pp. 2069–2079, 2010. doi 10.1016/j.cam.2009.08.065

BiBTeX

@article{2010:cookson.doorly.ea:using,
  author = {Cookson, A.N. and Doorly, D.J. and Sherwin, S.J.},
  title = {Using coordinate transformation of Navier--Stokes equations to solve flow in multiple helical geometries},
  journal = {Journal of Computational and Applied Mathematics},
  publisher = {Elsevier BV},
  year = {2010},
  volume = {234},
  number = {7},
  pages = {2069--2079},
  groups = {sherwin},
  doi = {10.1016/j.cam.2009.08.065}
}

P. Hall and S. Sherwin
Streamwise vortices in shear flows: harbingers of transition and the skeleton of coherent structures
JOURNAL OF FLUID MECHANICS, 661, pp. 178–205, 2010. doi 10.1017/S0022112010002892
BiBTeX Abstract
```
@article{2010:hall.sherwin:streamwise,
  author = {Hall, P. and Sherwin, S.},
  title = {Streamwise vortices in shear flows: harbingers of transition and the skeleton of coherent structures},
  journal = {JOURNAL OF FLUID MECHANICS},
  year = {2010},
  volume = {661},
  pages = {178--205},
  month = oct,
  publisher = {CAMBRIDGE UNIV PRESS},
  doi = {10.1017/S0022112010002892},
  issn = {0022-1120},
  keyword = {STOKES EQUATIONS},
  language = {English},
  day = {25},
  publicationstatus = {published},
  groups = {app}
}
```
The relationship between asymptotic descriptions of vortex wave interactions and more recent work on exact coherent structures is investigated. In recent years immense interest has been focused on so-called self-sustained processes in turbulent shear flows where the importance of waves interacting with streamwise vortex flows has been elucidated in a number of papers. In this paper, it is shown that the so-called lower branch state which has been shown to play a crucial role in these self-sustained processes is a finite Reynolds number analogue of a Rayleigh vortex wave interaction with scales appropriately modified from those for external flows to Couette flow, the flow of interest here. Remarkable agreement between the asymptotic theory and numerical solutions of the Navier Stokes equations is found even down to relatively small Reynolds numbers, thereby suggesting the possible importance of vortex wave interaction theory in turbulent shear flows. The relevance of the work to more general shear flows is also discussed.

A. M. Plata, S. J. Sherwin and R. Krams

Endothelial Nitric Oxide Production and Transport in Flow Chambers: The Importance of Convection

Annals of Biomedical Engineering, 38 (9), pp. 2805–2816, 2010. doi 10.1007/s10439-010-0039-x

BiBTeX

@article{2010:plata.sherwin.ea:endothelial,
  author = {Plata, A. M. and Sherwin, S. J. and Krams, R.},
  title = {Endothelial Nitric Oxide Production and Transport in Flow Chambers: The Importance of Convection},
  journal = {Annals of Biomedical Engineering},
  publisher = {Springer Science and Business Media LLC},
  year = {2010},
  volume = {38},
  number = {9},
  pages = {2805--2816},
  groups = {sherwin},
  doi = {10.1007/s10439-010-0039-x}
}

A. S. Sharma, N. Abdessemed, S. J. Sherwin and V. Theofilis

Transient growth mechanisms of low Reynolds number flow over a low-pressure turbine blade

Theoretical and Computational Fluid Dynamics, 25 (1-4), pp. 19–30, 2010. doi 10.1007/s00162-010-0183-9

BiBTeX

@article{2010:sharma.abdessemed.ea:transient,
  author = {Sharma, A. S. and Abdessemed, N. and Sherwin, S. J. and Theofilis, V.},
  title = {Transient growth mechanisms of low Reynolds number flow over a low-pressure turbine blade},
  journal = {Theoretical and Computational Fluid Dynamics},
  publisher = {Springer Science and Business Media LLC},
  year = {2010},
  volume = {25},
  number = {1-4},
  pages = {19--30},
  groups = {sherwin},
  doi = {10.1007/s00162-010-0183-9}
}

P. E. Vincent, S. J. Sherwin and P. D. Weinberg

The effect of the endothelial glycocalyx layer on concentration polarisation of low density lipoprotein in arteries

Journal of Theoretical Biology, 265 (1), pp. 1–17, 2010. doi 10.1016/j.jtbi.2010.04.015

BiBTeX

@article{2010:vincent.sherwin.ea:effect,
  author = {Vincent, P.E. and Sherwin, S.J. and Weinberg, P.D.},
  title = {The effect of the endothelial glycocalyx layer on concentration polarisation of low density lipoprotein in arteries},
  journal = {Journal of Theoretical Biology},
  publisher = {Elsevier BV},
  year = {2010},
  volume = {265},
  number = {1},
  pages = {1--17},
  groups = {sherwin},
  doi = {10.1016/j.jtbi.2010.04.015}
}

P. E. J. Vos, S. J. Sherwin and R. M. Kirby
From h to p efficiently: Implementing finite and spectral/hp element methods to achieve optimal performance for low- and high-order discretisations
JOURNAL OF COMPUTATIONAL PHYSICS, 229 (13), pp. 5161–5181, 2010. doi 10.1016/j.jcp.2010.03.031
BiBTeX Abstract
```
@article{2010:vos.sherwin.ea:from,
  author = {Vos, P. E. J. and Sherwin, S. J. and Kirby, R. M.},
  title = {From h to p efficiently: Implementing finite and spectral/hp element methods to achieve optimal performance for low- and high-order discretisations},
  journal = {JOURNAL OF COMPUTATIONAL PHYSICS},
  year = {2010},
  volume = {229},
  pages = {5161--5181},
  month = jul,
  publisher = {ACADEMIC PRESS INC ELSEVIER SCIENCE},
  doi = {10.1016/j.jcp.2010.03.031},
  issn = {0021-9991},
  issue = {13},
  keyword = {STABLE PENALTY METHOD},
  language = {English},
  day = {1},
  publicationstatus = {published},
  groups = {core}
}
```
The spectral/hp element method can be considered as bridging the gap between the traditionally low order finite element method on one side and spectral methods on the other side. Consequently, a major challenge which arises in implementing the spectral/hp element methods is to design algorithms that perform efficiently for both low- and high-order spectral/hp discretisations, as well as discretisations in the intermediate regime. In this paper, we explain how the judicious use of different implementation strategies can be employed to achieve high efficiency across a wide range of polynomial orders. Furthermore, based upon this efficient implementation, we analyse which spectral/hp discretisation (which specific combination of mesh-size h and polynomial order P) minimises the computational cost to solve an elliptic problem up to a predefined level of accuracy. We investigate this question for a set of both smooth and non-smooth problems.

2009

N. Abdessemed, A. S. Sharma, S. J. Sherwin and V. Theofilis

Transient growth analysis of the flow past a circular cylinder

Physics of Fluids, 21 (4), 2009. doi 10.1063/1.3112738

BiBTeX

@article{2009:abdessemed.sharma.ea:transient,
  author = {Abdessemed, N. and Sharma, A. S. and Sherwin, S. J. and Theofilis, V.},
  title = {Transient growth analysis of the flow past a circular cylinder},
  journal = {Physics of Fluids},
  publisher = {AIP Publishing},
  year = {2009},
  volume = {21},
  number = {4},
  groups = {sherwin},
  doi = {10.1063/1.3112738}
}

N. Abdessemed, S. J. Sherwin and V. Theofilis

Linear instability analysis of low-pressure turbine flows

Journal of Fluid Mechanics, 628, pp. 57–83, 2009. doi 10.1017/s0022112009006272

BiBTeX

@article{2009:abdessemed.sherwin.ea:linear,
  author = {Abdessemed, N. and Sherwin, S. J. and Theofilis, V.},
  title = {Linear instability analysis of low-pressure turbine flows},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2009},
  volume = {628},
  pages = {57--83},
  groups = {sherwin},
  doi = {10.1017/s0022112009006272}
}

J. Alastruey, K. H. Parker, J. Peiró and S. J. Sherwin

Analysing the pattern of pulse waves in arterial networks: a time-domain study

Journal of Engineering Mathematics, 64 (4), pp. 331–351, 2009. doi 10.1007/s10665-009-9275-1

BiBTeX

@article{2009:alastruey.parker.ea:analysing,
  author = {Alastruey, J. and Parker, K. H. and Peiró, J. and Sherwin, S. J.},
  title = {Analysing the pattern of pulse waves in arterial networks: a time-domain study},
  journal = {Journal of Engineering Mathematics},
  publisher = {Springer Science and Business Media LLC},
  year = {2009},
  volume = {64},
  number = {4},
  pages = {331--351},
  groups = {sherwin},
  doi = {10.1007/s10665-009-9275-1}
}

J. Alastruey, S. J. Sherwin, K. H. Parker and D. D. Rubens

Placental transfusion insult in the predisposition for SIDS: A mathematical study

Early Human Development, 85 (7), pp. 455–459, 2009. doi 10.1016/j.earlhumdev.2009.04.001

BiBTeX

@article{2009:alastruey.sherwin.ea:placental,
  author = {Alastruey, Jordi and Sherwin, Spencer J. and Parker, Kim H. and Rubens, Daniel D.},
  title = {Placental transfusion insult in the predisposition for SIDS: A mathematical study},
  journal = {Early Human Development},
  publisher = {Elsevier BV},
  year = {2009},
  volume = {85},
  number = {7},
  pages = {455--459},
  groups = {sherwin},
  doi = {10.1016/j.earlhumdev.2009.04.001}
}

A. N. Cookson, D. J. Doorly and S. J. Sherwin

Mixing Through Stirring of Steady Flow in Small Amplitude Helical Tubes

Annals of Biomedical Engineering, 37 (4), pp. 710–721, 2009. doi 10.1007/s10439-009-9636-y

BiBTeX

@article{2009:cookson.doorly.ea:mixing,
  author = {Cookson, A. N. and Doorly, D. J. and Sherwin, S. J.},
  title = {Mixing Through Stirring of Steady Flow in Small Amplitude Helical Tubes},
  journal = {Annals of Biomedical Engineering},
  publisher = {Springer Science and Business Media LLC},
  year = {2009},
  volume = {37},
  number = {4},
  pages = {710--721},
  groups = {sherwin},
  doi = {10.1007/s10439-009-9636-y}
}

L. Grinberg, D. Pekurovsky, S. J. Sherwin and G. E. Karniadakis

Parallel performance of the coarse space linear vertex solver and low energy basis preconditioner for spectral/hp elements

Parallel Computing, 35 (5), pp. 284–304, 2009. doi 10.1016/j.parco.2008.12.002

BiBTeX

@article{2009:grinberg.pekurovsky.ea:parallel,
  author = {Grinberg, L. and Pekurovsky, D. and Sherwin, S.J. and Karniadakis, G.E.},
  title = {Parallel performance of the coarse space linear vertex solver and low energy basis preconditioner for spectral/hp elements},
  journal = {Parallel Computing},
  publisher = {Elsevier BV},
  year = {2009},
  volume = {35},
  number = {5},
  pages = {284--304},
  groups = {sherwin},
  doi = {10.1016/j.parco.2008.12.002}
}

X. Mao, S. J. Sherwin and H. M. Blackburn

Transient growth and bypass transition in stenotic flow with a physiological waveform

Theoretical and Computational Fluid Dynamics, 25 (1-4), pp. 31–42, 2009. doi 10.1007/s00162-009-0167-9

BiBTeX

@article{2009:mao.sherwin.ea:transient,
  author = {Mao, X. and Sherwin, S. J. and Blackburn, H. M.},
  title = {Transient growth and bypass transition in stenotic flow with a physiological waveform},
  journal = {Theoretical and Computational Fluid Dynamics},
  publisher = {Springer Science and Business Media LLC},
  year = {2009},
  volume = {25},
  number = {1-4},
  pages = {31--42},
  groups = {sherwin},
  doi = {10.1007/s00162-009-0167-9}
}

P. Moore, P. Barlis, J. Spiro, G. Ghimire, M. Roughton, C. Di Mario, W. Wallis, C. Ilsley, A. Mitchell, M. Mason, R. Kharbanda, P. Vincent, S. Sherwin and M. Dalby

A Randomized Optical Coherence Tomography Study of Coronary Stent Strut Coverage and Luminal Protrusion With Rapamycin-Eluting Stents

JACC: Cardiovascular Interventions, 2 (5), pp. 437–444, 2009. doi 10.1016/j.jcin.2009.01.010

BiBTeX

@article{2009:moore.barlis.ea:randomized,
  author = {Moore, Philip and Barlis, Peter and Spiro, Jonathan and Ghimire, Gopal and Roughton, Michael and Di Mario, Carlo and Wallis, William and Ilsley, Charles and Mitchell, Andrew and Mason, Mark and Kharbanda, Rajesh and Vincent, Peter and Sherwin, Spencer and Dalby, Miles},
  title = {A Randomized Optical Coherence Tomography Study of Coronary Stent Strut Coverage and Luminal Protrusion With Rapamycin-Eluting Stents},
  journal = {JACC: Cardiovascular Interventions},
  publisher = {Elsevier BV},
  year = {2009},
  volume = {2},
  number = {5},
  pages = {437--444},
  groups = {sherwin},
  doi = {10.1016/j.jcin.2009.01.010}
}

P. E. Vincent, S. J. Sherwin and P. D. Weinberg

The Effect of a Spatially Heterogeneous Transmural Water Flux on Concentration Polarization of Low Density Lipoprotein in Arteries

Biophysical Journal, 96 (8), pp. 3102–3115, 2009. doi 10.1016/j.bpj.2009.01.022

BiBTeX

@article{2009:vincent.sherwin.ea:effect,
  author = {Vincent, Peter E. and Sherwin, Spencer J. and Weinberg, Peter D.},
  title = {The Effect of a Spatially Heterogeneous Transmural Water Flux on Concentration Polarization of Low Density Lipoprotein in Arteries},
  journal = {Biophysical Journal},
  publisher = {Elsevier BV},
  year = {2009},
  volume = {96},
  number = {8},
  pages = {3102--3115},
  groups = {sherwin},
  doi = {10.1016/j.bpj.2009.01.022}
}

A. de Vecchi, S. J. Sherwin and J. M. R. Graham

Wake dynamics past a curved body of circular cross-section under forced cross-flow vibration

Journal of Fluids and Structures, 25 (4), pp. 721–730, 2009. doi 10.1016/j.jfluidstructs.2009.01.005

BiBTeX

@article{2009:devecchi.sherwin.ea:wakea,
  author = {de Vecchi, A. and Sherwin, S.J. and Graham, J.M.R.},
  title = {Wake dynamics past a curved body of circular cross-section under forced cross-flow vibration},
  journal = {Journal of Fluids and Structures},
  publisher = {Elsevier BV},
  year = {2009},
  volume = {25},
  number = {4},
  pages = {721--730},
  groups = {sherwin},
  doi = {10.1016/j.jfluidstructs.2009.01.005}
}

2008

J. Alastruey, K. H. Parker, J. Peiró and S. J. Sherwin

Lumped parameter outflow models for 1-D blood flow simulations: Effect on pulse waves and parameter estimation

Communications in Computational Physics, 2008.

BiBTeX

@article{2008:alastruey.parker.ea:lumped,
  author = {Alastruey, J. and Parker, K.H. and Peiró, J. and Sherwin, S.J.},
  title = {Lumped parameter outflow models for 1-D blood flow simulations: Effect on pulse waves and parameter estimation},
  journal = {Communications in Computational Physics},
  year = {2008},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-50049124185&partnerID=MN8TOARS}
}

D. Barkley, H. M. Blackburn and S. J. Sherwin
Direct optimal growth analysis for timesteppers
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 57 (9), pp. 1435–1458, 2008. doi 10.1002/fld.1824
BiBTeX Abstract
```
@article{2008:barkley.blackburn.ea:direct,
  author = {Barkley, D. and Blackburn, H. M. and Sherwin, S. J.},
  title = {Direct optimal growth analysis for timesteppers},
  journal = {INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS},
  year = {2008},
  volume = {57},
  pages = {1435--1458},
  month = jul,
  organization = {Santa Fe, NM},
  publisher = {JOHN WILEY \& SONS LTD},
  doi = {10.1002/fld.1824},
  startyear = {2007},
  startmonth = {Mar},
  startday = {24},
  finishyear = {2007},
  finishmonth = {Mar},
  finishday = {28},
  issn = {0271-2091},
  issue = {9},
  keyword = {MODES},
  language = {English},
  conference = {14th International Conference on Finite Elements in Flow Problems},
  day = {30},
  publicationstatus = {published},
  groups = {core}
}
```
Methods are described for transient growth analysis of flows with arbitrary geometric complexity, where in particular the flow is not required to vary slowly in the streamwise direction. Emphasis is on capturing the global effects arising from localized convective stability in streamwise varying flows. The methods employ the timestepper’s approach in which a nonlinear Navier Stokes code is modified to provide evolution operators for both the forward and adjoint linearized equations. First, the underlying mathematical treatment in primitive flow variables is presented. Then, details are given for the inner level code modifications and outer level eigenvalue and SVD algorithms in the timestepper’s approach. Finally, some examples are shown and guidance provided on practical aspects of this type of large-scale stability analysis

H. M. Blackburn, D. Barkley and S. J. Sherwin

Convective instability and transient growth in flow over a backward-facing step

Journal of Fluid Mechanics, 603, pp. 271–304, 2008. doi 10.1017/s0022112008001109

BiBTeX

@article{2008:blackburn.barkley.ea:convective,
  author = {Blackburn, H. M. and Barkley, D. and Sherwin, S. J.},
  title = {Convective instability and transient growth in flow over a backward-facing step},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2008},
  volume = {603},
  pages = {271--304},
  groups = {sherwin},
  doi = {10.1017/s0022112008001109}
}

H. M. Blackburn, S. J. Sherwin and D. Barkley

Convective instability and transient growth in steady and pulsatile stenotic flows

Journal of Fluid Mechanics, 607, pp. 267–277, 2008. doi 10.1017/s0022112008001717

BiBTeX

@article{2008:blackburn.sherwin.ea:convective,
  author = {Blackburn, H. M. and Sherwin, S. J. and Barkley, D.},
  title = {Convective instability and transient growth in steady and pulsatile stenotic flows},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2008},
  volume = {607},
  pages = {267--277},
  groups = {sherwin},
  doi = {10.1017/s0022112008001717}
}

M. S. Broadhurst and S. J. Sherwin

The parabolised stability equations for 3D-flows: implementation and numerical stability

Applied Numerical Mathematics, 58 (7), pp. 1017–1029, 2008. doi 10.1016/j.apnum.2007.04.016

BiBTeX

@article{2008:broadhurst.sherwin:parabolised,
  author = {Broadhurst, Michael S. and Sherwin, Spencer J.},
  title = {The parabolised stability equations for 3D-flows: implementation and numerical stability},
  journal = {Applied Numerical Mathematics},
  publisher = {Elsevier BV},
  year = {2008},
  volume = {58},
  number = {7},
  pages = {1017--1029},
  groups = {sherwin},
  doi = {10.1016/j.apnum.2007.04.016}
}

B. S. Carmo, S. J. Sherwin, P. W. Bearman and R. H. J. Willden

Wake transition in the flow around two circular cylinders in staggered arrangements

Journal of Fluid Mechanics, 597, pp. 1–29, 2008. doi 10.1017/s0022112007009639

BiBTeX

@article{2008:carmo.sherwin.ea:wake,
  author = {Carmo, Bruno S. and Sherwin, Spencer J. and Bearman, Peter W. and Willden, Richard H. J.},
  title = {Wake transition in the flow around two circular cylinders in staggered arrangements},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2008},
  volume = {597},
  pages = {1--29},
  groups = {sherwin},
  doi = {10.1017/s0022112007009639}
}

A. Kazakidi, S. J. Sherwin and P. D. Weinberg

Effect of Reynolds number and flow division on patterns of haemodynamic wall shear stress near branch points in the descending thoracic aorta

Journal of The Royal Society Interface, 6 (35), pp. 539–548, 2008. doi 10.1098/rsif.2008.0323

BiBTeX

@article{2008:kazakidi.sherwin.ea:effect,
  author = {Kazakidi, A. and Sherwin, S.J. and Weinberg, P.D.},
  title = {Effect of Reynolds number and flow division on patterns of haemodynamic wall shear stress near branch points in the descending thoracic aorta},
  journal = {Journal of The Royal Society Interface},
  publisher = {The Royal Society},
  year = {2008},
  volume = {6},
  number = {35},
  pages = {539--548},
  groups = {sherwin},
  doi = {10.1098/rsif.2008.0323}
}

A. W. Khir, S. J. Sherwin and T. J. Pedley

Special issue on theoretical computational and experimental biofluid mechanics

Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 2008.

BiBTeX

@article{2008:khir.sherwin.ea:special,
  author = {Khir, A.W. and Sherwin, S.J. and Pedley, T.J.},
  title = {Special issue on theoretical computational and experimental biofluid mechanics},
  journal = {Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine},
  year = {2008},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-51249093426&partnerID=MN8TOARS}
}

A. W. Khir, S. J. Sherwin and T. J. Pedley

Guest Editorial

Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 222 (4), pp. i–iv, 2008. doi 10.1177/095441190822200401

BiBTeX

@article{2008:khir.sherwin.ea:guest,
  author = {Khir, Ashraf W and Sherwin, Spencer J and Pedley, T J},
  title = {Guest Editorial},
  journal = {Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine},
  publisher = {SAGE Publications},
  year = {2008},
  volume = {222},
  number = {4},
  pages = {i--iv},
  groups = {sherwin},
  doi = {10.1177/095441190822200401}
}

P. R. Moore, P. Barlis, J. Spiro, G. Ghimire, M. Roughton, C. D. Mario, C. Ilsley, R. Kharbanda, S. Sherwin and M. Dalby

An optical coherence tomography study to determine 90-day coronary stent coverage and luminal protrusion in polymer coated versus polymer free rapamycin-eluting stents

European Heart Journal, 2008.

BiBTeX

@article{2008:moore.barlis.ea:optical,
  author = {Moore, P R and Barlis, P and Spiro, J and Ghimire, G and Roughton, M and Mario, C Di and Ilsley, C and Kharbanda, R and Sherwin, S and Dalby, M},
  title = {An optical coherence tomography study to determine 90-day coronary stent coverage and luminal protrusion in polymer coated versus polymer free rapamycin-eluting stents},
  journal = {European Heart Journal},
  year = {2008},
  groups = {sherwin}
}

J. Peiró, S. J. Sherwin and S. Giordana

Automatic reconstruction of a patient-specific high-order surface representation and its application to mesh generation for CFD calculations

Medical & Biological Engineering & Computing, 46 (11), pp. 1069–1083, 2008. doi 10.1007/s11517-008-0390-3

BiBTeX

@article{2008:peiro.sherwin.ea:automatic,
  author = {Peiró, Joaquim and Sherwin, Spencer J. and Giordana, Sergio},
  title = {Automatic reconstruction of a patient-specific high-order surface representation and its application to mesh generation for CFD calculations},
  journal = {Medical & Biological Engineering & Computing},
  publisher = {Springer Science and Business Media LLC},
  year = {2008},
  volume = {46},
  number = {11},
  pages = {1069--1083},
  groups = {sherwin},
  doi = {10.1007/s11517-008-0390-3}
}

P. E. Vincent, S. J. Sherwin and P. D. Weinberg

Viscous flow over outflow slits covered by an anisotropic Brinkman medium: A model of flow above interendothelial cell clefts

Physics of Fluids, 20 (6), 2008. doi 10.1063/1.2938761

BiBTeX

@article{2008:vincent.sherwin.ea:viscous,
  author = {Vincent, P. E. and Sherwin, S. J. and Weinberg, P. D.},
  title = {Viscous flow over outflow slits covered by an anisotropic Brinkman medium: A model of flow above interendothelial cell clefts},
  journal = {Physics of Fluids},
  publisher = {AIP Publishing},
  year = {2008},
  volume = {20},
  number = {6},
  groups = {sherwin},
  doi = {10.1063/1.2938761}
}

P. E. J. Vos, R. van Loon and S. J. Sherwin

A comparison of fictitious domain methods appropriate for spectral/hp element discretisations

Computer Methods in Applied Mechanics and Engineering, 197 (25-28), pp. 2275–2289, 2008. doi 10.1016/j.cma.2007.11.023

BiBTeX

@article{2008:vos.vanloon.ea:comparison,
  author = {Vos, P.E.J. and van Loon, R. and Sherwin, S.J.},
  title = {A comparison of fictitious domain methods appropriate for spectral/hp element discretisations},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  publisher = {Elsevier BV},
  year = {2008},
  volume = {197},
  number = {25-28},
  pages = {2275--2289},
  groups = {sherwin},
  doi = {10.1016/j.cma.2007.11.023}
}

A. de Vecchi, S. J. Sherwin and J. M. R. Graham

Wake dynamics of external flow past a curved circular cylinder with the free-stream aligned to the plane of curvature

Journal of Fluids and Structures, 24 (8), pp. 1262–1270, 2008. doi 10.1016/j.jfluidstructs.2008.06.008

BiBTeX

@article{2008:devecchi.sherwin.ea:wake,
  author = {de Vecchi, A. and Sherwin, S.J. and Graham, J.M.R.},
  title = {Wake dynamics of external flow past a curved circular cylinder with the free-stream aligned to the plane of curvature},
  journal = {Journal of Fluids and Structures},
  publisher = {Elsevier BV},
  year = {2008},
  volume = {24},
  number = {8},
  pages = {1262--1270},
  groups = {sherwin},
  doi = {10.1016/j.jfluidstructs.2008.06.008}
}

2007

J. Alastruey, S. M. Moore, K. H. Parker, T. David, J. Peiró and S. J. Sherwin

Reduced modelling of blood flow in the cerebral circulation: Coupling 1-D, 0-D and cerebral auto-regulation models

International Journal for Numerical Methods in Fluids, 56 (8), pp. 1061–1067, 2007. doi 10.1002/fld.1606

BiBTeX

@article{2007:alastruey.moore.ea:reduced,
  author = {Alastruey, J. and Moore, S. M. and Parker, K. H. and David, T. and Peiró, J. and Sherwin, S. J.},
  title = {Reduced modelling of blood flow in the cerebral circulation: Coupling 1-D, 0-D and cerebral auto-regulation models},
  journal = {International Journal for Numerical Methods in Fluids},
  publisher = {Wiley},
  year = {2007},
  volume = {56},
  number = {8},
  pages = {1061--1067},
  groups = {sherwin},
  doi = {10.1002/fld.1606}
}

J. Alastruey, K. H. Parker, J. Peiró, S. M. Byrd and S. J. Sherwin

Modelling the circle of Willis to assess the effects of anatomical variations and occlusions on cerebral flows

Journal of Biomechanics, 40 (8), pp. 1794–1805, 2007. doi 10.1016/j.jbiomech.2006.07.008

BiBTeX

@article{2007:alastruey.parker.ea:modelling,
  author = {Alastruey, J. and Parker, K.H. and Peiró, J. and Byrd, S.M. and Sherwin, S.J.},
  title = {Modelling the circle of Willis to assess the effects of anatomical variations and occlusions on cerebral flows},
  journal = {Journal of Biomechanics},
  publisher = {Elsevier BV},
  year = {2007},
  volume = {40},
  number = {8},
  pages = {1794--1805},
  groups = {sherwin},
  doi = {10.1016/j.jbiomech.2006.07.008}
}

H. M. Blackburn and S. J. Sherwin

Instability modes and transition of pulsatile stenotic flow: pulse-period dependence

Journal of Fluid Mechanics, 573, pp. 57–88, 2007. doi 10.1017/s0022112006003740

BiBTeX

@article{2007:blackburn.sherwin:instability,
  author = {Blackburn, H. M. and Sherwin, S. J.},
  title = {Instability modes and transition of pulsatile stenotic flow: pulse-period dependence},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2007},
  volume = {573},
  pages = {57--88},
  groups = {sherwin},
  doi = {10.1017/s0022112006003740}
}

K. E. Lee, K. H. Parker, C. G. Caro and S. J. Sherwin

The spectral/hp element modelling of steady flow in non-planar double bends

International Journal for Numerical Methods in Fluids, 57 (5), pp. 519–529, 2007. doi 10.1002/fld.1500

BiBTeX

@article{2007:lee.parker.ea:spectralhp,
  author = {Lee, K. E. and Parker, K. H. and Caro, C. G. and Sherwin, S. J.},
  title = {The spectral/hp element modelling of steady flow in non-planar double bends},
  journal = {International Journal for Numerical Methods in Fluids},
  publisher = {Wiley},
  year = {2007},
  volume = {57},
  number = {5},
  pages = {519--529},
  groups = {sherwin},
  doi = {10.1002/fld.1500}
}

K. S. Matthys, J. Alastruey, J. Peiró, A. W. Khir, P. Segers, P. R. Verdonck, K. H. Parker and S. J. Sherwin

Pulse wave propagation in a model human arterial network: Assessment of 1-D numerical simulations against in vitro measurements

Journal of Biomechanics, 40 (15), pp. 3476–3486, 2007. doi 10.1016/j.jbiomech.2007.05.027

BiBTeX

@article{2007:matthys.alastruey.ea:pulse,
  author = {Matthys, Koen S. and Alastruey, Jordi and Peiró, Joaquim and Khir, Ashraf W. and Segers, Patrick and Verdonck, Pascal R. and Parker, Kim H. and Sherwin, Spencer J.},
  title = {Pulse wave propagation in a model human arterial network: Assessment of 1-D numerical simulations against in vitro measurements},
  journal = {Journal of Biomechanics},
  publisher = {Elsevier BV},
  year = {2007},
  volume = {40},
  number = {15},
  pages = {3476--3486},
  groups = {sherwin},
  doi = {10.1016/j.jbiomech.2007.05.027}
}

A. Miliou, A. de Vecchi, S. J. Sherwin and J. M. R. Graham

Wake dynamics of external flow past a curved circular cylinder with the free stream aligned with the plane of curvature

Journal of Fluid Mechanics, 592, pp. 89–115, 2007. doi 10.1017/s0022112007008245

BiBTeX

@article{2007:miliou.devecchi.ea:wake,
  author = {Miliou, A. and de Vecchi, A. and Sherwin, S. J. and Graham, J. M. R.},
  title = {Wake dynamics of external flow past a curved circular cylinder with the free stream aligned with the plane of curvature},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2007},
  volume = {592},
  pages = {89--115},
  groups = {sherwin},
  doi = {10.1017/s0022112007008245}
}

D. Xiu and S. J. Sherwin

Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network

Journal of Computational Physics, 226 (2), pp. 1385–1407, 2007. doi 10.1016/j.jcp.2007.05.020

BiBTeX

@article{2007:xiu.sherwin:parametric,
  author = {Xiu, Dongbin and Sherwin, Spencer J.},
  title = {Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network},
  journal = {Journal of Computational Physics},
  publisher = {Elsevier BV},
  year = {2007},
  volume = {226},
  number = {2},
  pages = {1385--1407},
  groups = {sherwin},
  doi = {10.1016/j.jcp.2007.05.020}
}

R. van Loon, P. D. Anderson, F. N. van de Vosse and S. J. Sherwin

Comparison of various fluid–structure interaction methods for deformable bodies

Computers & Structures, 85 (11-14), pp. 833–843, 2007. doi 10.1016/j.compstruc.2007.01.010

BiBTeX

@article{2007:vanloon.anderson.ea:comparison,
  author = {van Loon, R. and Anderson, P.D. and van de Vosse, F.N. and Sherwin, S.J.},
  title = {Comparison of various fluid--structure interaction methods for deformable bodies},
  journal = {Computers & Structures},
  publisher = {Elsevier BV},
  year = {2007},
  volume = {85},
  number = {11-14},
  pages = {833--843},
  groups = {sherwin},
  doi = {10.1016/j.compstruc.2007.01.010}
}

2006

J. Alastruey, K. H. Parker, J. Peiró and S. J. Sherwin

Can the modified Allen’s test always detect sufficient collateral flow in the hand? A computational study

Computer Methods in Biomechanics and Biomedical Engineering, 9 (6), pp. 353–361, 2006. doi 10.1080/10255840600985477

BiBTeX

@article{2006:alastruey.parker.ea:can,
  author = {Alastruey, J. and Parker, K. H. and Peiró, J. and Sherwin, S. J.},
  title = {Can the modified Allen's test always detect sufficient collateral flow in the hand? A computational study},
  journal = {Computer Methods in Biomechanics and Biomedical Engineering},
  publisher = {Informa UK Limited},
  year = {2006},
  volume = {9},
  number = {6},
  pages = {353--361},
  groups = {sherwin},
  doi = {10.1080/10255840600985477}
}

C. Eskilsson, S. J. Sherwin and L. Bergdahl

An unstructured spectral/hp element model for enhanced Boussinesq-type equations

Coastal Engineering, 53 (11), pp. 947–963, 2006. doi 10.1016/j.coastaleng.2006.06.001

BiBTeX

@article{2006:eskilsson.sherwin.ea:unstructured,
  author = {Eskilsson, C. and Sherwin, S.J. and Bergdahl, L.},
  title = {An unstructured spectral/hp element model for enhanced Boussinesq-type equations},
  journal = {Coastal Engineering},
  publisher = {Elsevier BV},
  year = {2006},
  volume = {53},
  number = {11},
  pages = {947--963},
  groups = {sherwin},
  doi = {10.1016/j.coastaleng.2006.06.001}
}

C. Eskilsson and S. J. Sherwin

Spectral/hp discontinuous Galerkin methods for modelling 2D Boussinesq equations

Journal of Computational Physics, 212 (2), pp. 566–589, 2006. doi 10.1016/j.jcp.2005.07.017

BiBTeX

@article{2006:eskilsson.sherwin:spectralhp,
  author = {Eskilsson, Claes and Sherwin, Spencer J.},
  title = {Spectral/hp discontinuous Galerkin methods for modelling 2D Boussinesq equations},
  journal = {Journal of Computational Physics},
  publisher = {Elsevier BV},
  year = {2006},
  volume = {212},
  number = {2},
  pages = {566--589},
  groups = {sherwin},
  doi = {10.1016/j.jcp.2005.07.017}
}

R. M. Kirby and S. J. Sherwin
Aliasing Errors Due to Quadratic Non-Linearities On Triangular Spectral/hp Element Discretisations
Journal of Engineering Mathematics, 56, pp. 273–288, 2006. doi 10.1007/s10665-006-9079-5
BiBTeX Abstract
```
@article{2006:kirby.sherwin:aliasing,
  author = {Kirby, Robert M. and Sherwin, Spencer J.},
  title = {Aliasing Errors Due to Quadratic Non-Linearities On Triangular Spectral/hp Element Discretisations},
  journal = {Journal of Engineering Mathematics},
  year = {2006},
  volume = {56},
  pages = {273--288},
  doi = {10.1007/s10665-006-9079-5},
  groups = {core}
}
```
In this paper, consideration is given to how aliasing errors, introduced when evaluating nonlinear products, inexactly affect the solution of Galerkin spectral/hp element polynomial discretisations on triangles. A theoretical discussion is presented of how aliasing errors are introduced by a collocation projection onto a set of quadrature points insufficient for exact integration, and consider interpolation projections to geometrically symmetric ollocation points. The discussion is corroborated by numerica examples that elucidate the key features. The study is first motivated with a review of aliasing errors introduced in one-dimensional spectral-element methods (these results extend naturally to tensor-product quadrilaterals and hexahedra.) Within triangular domains two commonly used expansions are a hierarchical, or modal, expansion based on a rotationally non-symmetric collapsed-coordinate system, and a Lagrange expansion based on a set of rotationally symmetric nodal points. Whilst both expansions span the same polynomial space, the construction of the two bases numerically motivates a different set of collocation points for use in the collocation projection of a nonlinear product. The purpose of this paper is to compare these two collocation projections. The analysis and results show that aliasing errors produced using a collocation projection on the rotationally non-symmetric, collapsed-coordinate system are significantly smaller than those for a collocation projection using the rotationally symmetric nodal points. In the case of the collapsed coordinate projection, if the Gaussian quadrature order employed is less than half the polynomial order of the integrand, then it is possible for the aliasing error to modify the constant mode of the expansion and therefore affect the conservation property of the approximation. However, the use of a collocation projection onto a polynomial expansion associated with a set of rotationally symmetric nodal points within the triangle is always observed to be non-conservative. Nevertheless, the rotationally symmetric collocation will maintain the overall symmetry of the triangular region, which is not typically the case when a collapsed coordinate quadrature projection is used.
R. M. Kirby and S. J. Sherwin
Stabilisation of spectral/hp element methods through spectral vanishing viscosity: Application to fluid mechanics modelling
Computer Methods in Applied Mechanics and Engineering, 195, pp. 3128–2144, 2006. doi 10.1016/j.cma.2004.09.019
BiBTeX Abstract
```
@article{2006:kirby.sherwin:stabilisation,
  author = {Kirby, Robert M. and Sherwin, Spencer J.},
  title = {Stabilisation of spectral/hp element methods through spectral vanishing viscosity: Application to fluid mechanics modelling},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  year = {2006},
  volume = {195},
  pages = {3128--2144},
  doi = {10.1016/j.cma.2004.09.019},
  groups = {core}
}
```
n this paper we present a formulation of spectral vanishing viscosity (SVV) for the stabilisation of spectral/hp element methods applied to the solution of the incompressible Navier-Stokes equations. We construct the SVV around a filter with respect to an orthogonal expansions, and prove that this methodology provides a symmetric semi-positive definite SVV operator. After providing a few simple one- and two-dimensional examples to demonstrate the utility of the SVV, we examine how it can be applied to a spectral/hp element discretisation of the Navier-Stokes equations using a velocity correction splitting scheme. We provide three fluid flow examples to help illustrate the pros and cons of this approach on stability and accuracy.
S. J. Sherwin, R. M. Kirby, J. Peiro, R. L. Taylor and O. C. Zienkiewicz
On 2D Elliptic Discontinuous Galerkin Methods
International Journal for Numerical Methods in Engineering, 65 (5), pp. 752–784, 2006. doi 10.1002/nme.1466
BiBTeX Abstract
```
@article{2006:sherwin.kirby.ea:on,
  author = {Sherwin, S. J. and Kirby, R. M. and Peiro, J. and Taylor, R. L. and Zienkiewicz, O. C.},
  title = {On 2D Elliptic Discontinuous Galerkin Methods},
  journal = {International Journal for Numerical Methods in Engineering},
  year = {2006},
  volume = {65},
  pages = {752--784},
  issue = {5},
  doi = {10.1002/nme.1466},
  groups = {core}
}
```
We discuss the discretization using discontinuous Galerkin (DG) formulation of an elliptic Poisson problem. Two commonly used DG schemes are investigated: the original average flux proposed by Bassi and Rebay (J. Comput. Phys. 1997; 131:267) and the local discontinuous Galerkin (LDG) (SIAM J. Numer. Anal. 1998; 35:2440) scheme. In this paper we expand on previous expositions (Discontinuous Galerkin Methods: Theory, Computation and Applications. Springer: Berlin, 2000; 135; SIAM J. Sci. Comput. 2002; 24(2):524; Int. J. Numer. Meth. Engng. 2003; 58(2): 1119) by adopting a matrix based notation with a view to highlighting the steps required in a numerical implementation of the DG method. Through consideration of standard C0-type expansion bases, as opposed to elementally orthogonal expansions, with the matrix formulation we are able to apply static condensation techniques to improve efficiency of the direct solver when high order expansions are adopted. The use of C0-type expansions also permits the direct enforcement of Dirichlet boundary conditions through a lifting approach where the LDG flux does not require further stabilization. In our construction we also adopt a formulation of the continuous DG fluxes that permits a more general interpretation of their numerical implementation. In particular it allows us to determine the conditions under which the LDG method provides a near local stencil. Finally a study of the conditioning and the size of the null space of the matrix systems resulting from the DG discretization of the elliptic problem is undertaken

2005

C. Eskilsson and S. J. Sherwin

Discontinuous Galerkin Spectral/hp Element Modelling of Dispersive Shallow Water Systems

Journal of Scientific Computing, 22-23 (1-3), pp. 269–288, 2005. doi 10.1007/s10915-004-4140-x

BiBTeX

@article{2005:eskilsson.sherwin:discontinuous,
  author = {Eskilsson, C. and Sherwin, S. J.},
  title = {Discontinuous Galerkin Spectral/hp Element Modelling of Dispersive Shallow Water Systems},
  journal = {Journal of Scientific Computing},
  publisher = {Springer Science and Business Media LLC},
  year = {2005},
  volume = {22-23},
  number = {1-3},
  pages = {269--288},
  groups = {sherwin},
  doi = {10.1007/s10915-004-4140-x}
}

S. Giordana, S. J. Sherwin, J. Peiró, D. J. Doorly, J. S. Crane, K. E. Lee, N. J. W. Cheshire and C. G. Caro

Local and Global Geometric Influence on Steady Flow in Distal Anastomoses of Peripheral Bypass Grafts

Journal of Biomechanical Engineering, 127 (7), pp. 1087–1098, 2005. doi 10.1115/1.2073507

BiBTeX

@article{2005:giordana.sherwin.ea:local,
  author = {Giordana, S. and Sherwin, S. J. and Peiró, J. and Doorly, D. J. and Crane, J. S. and Lee, K. E. and Cheshire, N. J. W. and Caro, C. G.},
  title = {Local and Global Geometric Influence on Steady Flow in Distal Anastomoses of Peripheral Bypass Grafts},
  journal = {Journal of Biomechanical Engineering},
  publisher = {ASME International},
  year = {2005},
  volume = {127},
  number = {7},
  pages = {1087--1098},
  groups = {sherwin},
  doi = {10.1115/1.2073507}
}

S. Giordana, S. J. Sherwin, J. Peiró, D. J. Doorly, Y. Papaharilaou, C. G. Caro, N. Watkins, N. Cheshire, M. Jackson, C. Bicknall and V. Zervas

Automated classification of peripheral distal by-pass geometries reconstructed from medical data

Journal of Biomechanics, 38 (1), pp. 47–62, 2005. doi 10.1016/j.jbiomech.2004.03.015

BiBTeX

@article{2005:giordana.sherwin.ea:automated,
  author = {Giordana, S. and Sherwin, S.J. and Peiró, J. and Doorly, D.J. and Papaharilaou, Y. and Caro, C.G. and Watkins, N. and Cheshire, N. and Jackson, M. and Bicknall, C. and Zervas, V.},
  title = {Automated classification of peripheral distal by-pass geometries reconstructed from medical data},
  journal = {Journal of Biomechanics},
  publisher = {Elsevier BV},
  year = {2005},
  volume = {38},
  number = {1},
  pages = {47--62},
  groups = {sherwin},
  doi = {10.1016/j.jbiomech.2004.03.015}
}

A. Miliou, I. Mortazavi and S. Sherwin

Cut-off analysis of coherent vortical structure identification in a three-dimensional external flow

Comptes Rendus. Mécanique, 333 (3), pp. 211–217, 2005. doi 10.1016/j.crme.2004.09.022

BiBTeX

@article{2005:miliou.mortazavi.ea:cutoff,
  author = {Miliou, Anthi and Mortazavi, Iraj and Sherwin, Spencer},
  title = {Cut-off analysis of coherent vortical structure identification in a three-dimensional external flow},
  journal = {Comptes Rendus. Mécanique},
  publisher = {MathDoc/Centre Mersenne},
  year = {2005},
  volume = {333},
  number = {3},
  pages = {211--217},
  groups = {sherwin},
  doi = {10.1016/j.crme.2004.09.022}
}

S. J. Sherwin and H. M. Blackburn

Three-dimensional instabilities and transition of steady and pulsatile axisymmetric stenotic flows

Journal of Fluid Mechanics, 533, pp. 297–327, 2005. doi 10.1017/s0022112005004271

BiBTeX

@article{2005:sherwin.blackburn:threedimensional,
  author = {Sherwin, S. J. and Blackburn, H. M.},
  title = {Three-dimensional instabilities and transition of steady and pulsatile axisymmetric stenotic flows},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2005},
  volume = {533},
  pages = {297--327},
  groups = {sherwin},
  doi = {10.1017/s0022112005004271}
}

D. Xiu, S. J. Sherwin, S. Dong and G. E. Karniadakis

Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows

Journal of Scientific Computing, 25 (1-2), pp. 323–346, 2005. doi 10.1007/bf02728994

BiBTeX

@article{2005:xiu.sherwin.ea:strong,
  author = {Xiu, D. and Sherwin, S. J. and Dong, S. and Karniadakis, G. E.},
  title = {Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows},
  journal = {Journal of Scientific Computing},
  publisher = {Springer Science and Business Media LLC},
  year = {2005},
  volume = {25},
  number = {1-2},
  pages = {323--346},
  groups = {sherwin},
  doi = {10.1007/bf02728994}
}

2004

H. M. Blackburn and S. J. Sherwin

Formulation of a Galerkin spectral element–Fourier method for three-dimensional incompressible flows in cylindrical geometries

Journal of Computational Physics, 197 (2), pp. 759–778, 2004. doi 10.1016/j.jcp.2004.02.013

BiBTeX

@article{2004:blackburn.sherwin:formulation,
  author = {Blackburn, H.M. and Sherwin, S.J.},
  title = {Formulation of a Galerkin spectral element--Fourier method for three-dimensional incompressible flows in cylindrical geometries},
  journal = {Journal of Computational Physics},
  publisher = {Elsevier BV},
  year = {2004},
  volume = {197},
  number = {2},
  pages = {759--778},
  groups = {sherwin},
  doi = {10.1016/j.jcp.2004.02.013}
}

C. Eskilsson and S. J. Sherwin

A triangular spectral/ hp discontinuous Galerkin method for modelling 2D shallow water equations

International Journal for Numerical Methods in Fluids, 45 (6), pp. 605–623, 2004. doi 10.1002/fld.709

BiBTeX

@article{2004:eskilsson.sherwin:triangular,
  author = {Eskilsson, C. and Sherwin, S. J.},
  title = {A triangular spectral/ hp discontinuous Galerkin method for modelling 2D shallow water equations},
  journal = {International Journal for Numerical Methods in Fluids},
  publisher = {Wiley},
  year = {2004},
  volume = {45},
  number = {6},
  pages = {605--623},
  groups = {sherwin},
  doi = {10.1002/fld.709}
}

R. E. Pitt, S. J. Sherwin and V. Theofilis

BiGlobal stability analysis of steady flow in constricted channel geometries

International Journal for Numerical Methods in Fluids, 47 (10-11), pp. 1229–1235, 2004. doi 10.1002/fld.840

BiBTeX

@article{2004:pitt.sherwin.ea:biglobal,
  author = {Pitt, R. E. and Sherwin, S. J. and Theofilis, V.},
  title = {BiGlobal stability analysis of steady flow in constricted channel geometries},
  journal = {International Journal for Numerical Methods in Fluids},
  publisher = {Wiley},
  year = {2004},
  volume = {47},
  number = {10-11},
  pages = {1229--1235},
  groups = {sherwin},
  doi = {10.1002/fld.840}
}

I. Robertson, S. J. Sherwin and J. M. R. Graham

Comparison of wall boundary conditions for numerical viscous free surface flow simulation

Journal of Fluids and Structures, 19 (4), pp. 525–542, 2004. doi 10.1016/j.jfluidstructs.2004.02.007

BiBTeX

@article{2004:robertson.sherwin.ea:comparison,
  author = {Robertson, I. and Sherwin, S.J. and Graham, J.M.R.},
  title = {Comparison of wall boundary conditions for numerical viscous free surface flow simulation},
  journal = {Journal of Fluids and Structures},
  publisher = {Elsevier BV},
  year = {2004},
  volume = {19},
  number = {4},
  pages = {525--542},
  groups = {sherwin},
  doi = {10.1016/j.jfluidstructs.2004.02.007}
}

2003

J. S. Crane, M. J. Jackson, C. D. Bicknell, S. Giordana, J. Peiro, D. J. Doorly, S. J. Sherwin, N. J. W. Cheshire and C. G. Caro

In-vivo geometric features of distal vein graft anastomoses: magnetic resonance surface reconstruction in different graft techniques

British Journal of Surgery, 2003.

BiBTeX

@article{2003:crane.jackson.ea:invivo,
  author = {Crane, J.S. and Jackson, M.J. and Bicknell, C.D. and Giordana, S. and Peiro, J. and Doorly, D.J. and Sherwin, S.J. and Cheshire, N.J.W. and Caro, C.G.},
  title = {In-vivo geometric features of distal vein graft anastomoses: magnetic resonance surface reconstruction in different graft techniques},
  journal = {British Journal of Surgery},
  year = {2003},
  groups = {sherwin}
}

D. J. Doorly, P. T. Franke, Y. Papaharilaou, S. Giordana, S. Sherwin and J. Peiró

Measuring and modelling the interaction between the arterial wall and blood flow transport

Internal Medicine Clinical and Laboratory, 2003.

BiBTeX

@article{2003:doorly.franke.ea:measuringa,
  author = {Doorly, D.J. and Franke, P.T. and Papaharilaou, Y. and Giordana, S. and Sherwin, S. and Peiró, J.},
  title = {Measuring and modelling the interaction between the arterial wall and blood flow transport},
  journal = {Internal Medicine Clinical and Laboratory},
  year = {2003},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-2442705281&partnerID=MN8TOARS}
}

C. Eskilsson and S. J. Sherwin

An hp/Spectral Element Model for Efficient Long-Time Integration of Boussinesq-Type Equations

Coastal Engineering Journal, 45 (2), pp. 295–320, 2003. doi 10.1142/s0578563403000762

BiBTeX

@article{2003:eskilsson.sherwin:hpspectral,
  author = {Eskilsson, C. and Sherwin, S. J.},
  title = {An hp/Spectral Element Model for Efficient Long-Time Integration of Boussinesq-Type Equations},
  journal = {Coastal Engineering Journal},
  publisher = {Informa UK Limited},
  year = {2003},
  volume = {45},
  number = {2},
  pages = {295--320},
  groups = {sherwin},
  doi = {10.1142/s0578563403000762}
}

V. E. Franke, K. H. Parker, L. Y. Wee, N. M. Fisk and S. J. Sherwin

Time domain computational modelling of 1D arterial networks in monochorionic placentas

ESAIM: Mathematical Modelling and Numerical Analysis, 37 (4), pp. 557–580, 2003. doi 10.1051/m2an:2003047

BiBTeX

@article{2003:franke.parker.ea:time,
  author = {Franke, Victoria E. and Parker, Kim H. and Wee, Ling Y. and Fisk, Nicholas M. and Sherwin, Spencer J.},
  title = {Time domain computational modelling of 1D arterial networks in monochorionic placentas},
  journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
  publisher = {EDP Sciences},
  year = {2003},
  volume = {37},
  number = {4},
  pages = {557--580},
  groups = {sherwin},
  doi = {10.1051/m2an:2003047}
}

M. J. Jackson, C. D. Bicknell, V. Zervas, N. J. Cheshire, S. J. Sherwin, S. Giordana, J. Peiró, Y. Papaharilaou, D. J. Doorly and C. G. Caro

Three-dimensional reconstruction of autologous vein bypass graft distal anastomoses imaged with magnetic resonance: clinical and research applications

Journal of Vascular Surgery, 38 (3), pp. 621–625, 2003. doi 10.1016/s0741-5214(03)00604-9

BiBTeX

@article{2003:jackson.bicknell.ea:threedimensional,
  author = {Jackson, Mark J and Bicknell, Colin D and Zervas, Vasielios and Cheshire, Nicholas J.w and Sherwin, Spencer J and Giordana, Sergio and Peiró, Joaquim and Papaharilaou, Yannis and Doorly, Dennis J and Caro, Colin G},
  title = {Three-dimensional reconstruction of autologous vein bypass graft distal anastomoses imaged with magnetic resonance: clinical and research applications},
  journal = {Journal of Vascular Surgery},
  publisher = {Elsevier BV},
  year = {2003},
  volume = {38},
  number = {3},
  pages = {621--625},
  groups = {sherwin},
  doi = {10.1016/s0741-5214(03)00604-9}
}

A. Miliou, S. J. Sherwin and J. M. R. Graham

Wake Topology of Curved Cylinders at Low Reynolds Numbers

Flow, Turbulence and Combustion, 71 (1-4), pp. 147–160, 2003. doi 10.1023/b:appl.0000014920.94050.a2

BiBTeX

@article{2003:miliou.sherwin.ea:wake,
  author = {Miliou, A. and Sherwin, S.J. and Graham, J.M.R.},
  title = {Wake Topology of Curved Cylinders at Low Reynolds Numbers},
  journal = {Flow, Turbulence and Combustion},
  publisher = {Springer Science and Business Media LLC},
  year = {2003},
  volume = {71},
  number = {1-4},
  pages = {147--160},
  groups = {sherwin},
  doi = {10.1023/b:appl.0000014920.94050.a2}
}

A. Miliou, S. J. Sherwin and J. M. R. Graham

Fluid Dynamic Loading on Curved Riser Pipes

Journal of Offshore Mechanics and Arctic Engineering, 125 (3), pp. 176–182, 2003. doi 10.1115/1.1576817

BiBTeX

@article{2003:miliou.sherwin.ea:fluid,
  author = {Miliou, Anthi and Sherwin, Spencer J. and Graham, J. Michael R.},
  title = {Fluid Dynamic Loading on Curved Riser Pipes},
  journal = {Journal of Offshore Mechanics and Arctic Engineering},
  publisher = {ASME International},
  year = {2003},
  volume = {125},
  number = {3},
  pages = {176--182},
  groups = {sherwin},
  doi = {10.1115/1.1576817}
}

I. Robertson, L. Li, S. J. Sherwin and P. W. Bearman

A numerical study of rotational and transverse galloping rectangular bodies

Journal of Fluids and Structures, 17 (5), pp. 681–699, 2003. doi 10.1016/s0889-9746(03)00008-2

BiBTeX

@article{2003:robertson.li.ea:numerical,
  author = {Robertson, I. and Li, L. and Sherwin, S.J. and Bearman, P.W.},
  title = {A numerical study of rotational and transverse galloping rectangular bodies},
  journal = {Journal of Fluids and Structures},
  publisher = {Elsevier BV},
  year = {2003},
  volume = {17},
  number = {5},
  pages = {681--699},
  groups = {sherwin},
  doi = {10.1016/s0889-9746(03)00008-2}
}

I. Robertson, S. J. Sherwin and P. W. Bearman

Flutter instability prediction techniques for bridge deck sections

International Journal for Numerical Methods in Fluids, 43 (10-11), pp. 1239–1256, 2003. doi 10.1002/fld.535

BiBTeX

@article{2003:robertson.sherwin.ea:flutter,
  author = {Robertson, I. and Sherwin, S. J. and Bearman, P. W.},
  title = {Flutter instability prediction techniques for bridge deck sections},
  journal = {International Journal for Numerical Methods in Fluids},
  publisher = {Wiley},
  year = {2003},
  volume = {43},
  number = {10-11},
  pages = {1239--1256},
  groups = {sherwin},
  doi = {10.1002/fld.535}
}

I. Robertson, S. J. Sherwin and P. W. Bearman

Prediction of Rotational Instabilities of Rectangular and Semi-Circular Leading Edge Sections

Flow, Turbulence and Combustion, 71 (1-4), pp. 93–103, 2003. doi 10.1023/b:appl.0000014934.69629.97

BiBTeX

@article{2003:robertson.sherwin.ea:prediction,
  author = {Robertson, I. and Sherwin, S.J. and Bearman, P.W.},
  title = {Prediction of Rotational Instabilities of Rectangular and Semi-Circular Leading Edge Sections},
  journal = {Flow, Turbulence and Combustion},
  publisher = {Springer Science and Business Media LLC},
  year = {2003},
  volume = {71},
  number = {1-4},
  pages = {93--103},
  groups = {sherwin},
  doi = {10.1023/b:appl.0000014934.69629.97}
}

S. J. Sherwin, L. Formaggia, J. Peiró and V. Franke

Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system

International Journal for Numerical Methods in Fluids, 43 (6-7), pp. 673–700, 2003. doi 10.1002/fld.543

BiBTeX

@article{2003:sherwin.formaggia.ea:computational,
  author = {Sherwin, S. J. and Formaggia, L. and Peiró, J. and Franke, V.},
  title = {Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system},
  journal = {International Journal for Numerical Methods in Fluids},
  publisher = {Wiley},
  year = {2003},
  volume = {43},
  number = {6-7},
  pages = {673--700},
  groups = {sherwin},
  doi = {10.1002/fld.543}
}

S. J. Sherwin, V. Franke, J. Peiró and K. Parker

One-dimensional modelling of a vascular network in space-time variables

Journal of Engineering Mathematics, 47 (3-4), pp. 217–250, 2003. doi 10.1023/b:engi.0000007979.32871.e2

BiBTeX

@article{2003:sherwin.franke.ea:onedimensional,
  author = {Sherwin, S.J. and Franke, V. and Peiró, J. and Parker, K.},
  title = {One-dimensional modelling of a vascular network in space-time variables},
  journal = {Journal of Engineering Mathematics},
  publisher = {Springer Science and Business Media LLC},
  year = {2003},
  volume = {47},
  number = {3-4},
  pages = {217--250},
  groups = {sherwin},
  doi = {10.1023/b:engi.0000007979.32871.e2}
}

O. C. Zienkiewicz, R. L. Taylor, S. J. Sherwin and J. Peiró

On discontinuous Galerkin methods

International Journal for Numerical Methods in Engineering, 58 (8), pp. 1119–1148, 2003. doi 10.1002/nme.884

BiBTeX

@article{2003:zienkiewicz.taylor.ea:discontinuous,
  author = {Zienkiewicz, O. C. and Taylor, R. L. and Sherwin, S. J. and Peiró, J.},
  title = {On discontinuous Galerkin methods},
  journal = {International Journal for Numerical Methods in Engineering},
  publisher = {Wiley},
  year = {2003},
  volume = {58},
  number = {8},
  pages = {1119--1148},
  groups = {sherwin},
  doi = {10.1002/nme.884}
}

2002

C. G. Caro, R. C. Schroter, N. Watkins, S. J. Sherwin and V. Sauret

Steady inspiratory flow in planar and non–planar models of human bronchial airways

Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 458 (2020), pp. 791–809, 2002. doi 10.1098/rspa.2001.0946

BiBTeX

@article{2002:caro.schroter.ea:steady,
  author = {Caro, C. G. and Schroter, R. C. and Watkins, N. and Sherwin, S. J. and Sauret, V.},
  title = {Steady inspiratory flow in planar and non--planar models of human bronchial airways},
  journal = {Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences},
  publisher = {The Royal Society},
  year = {2002},
  volume = {458},
  number = {2020},
  pages = {791--809},
  groups = {sherwin},
  doi = {10.1098/rspa.2001.0946}
}

C. Caro, J. Jeremy, N. Watkins, R. Bulbulia, G. Angelini, F. Smith, S. Wan, A. Yim, S. Sherwin, J. Peiró, Y. Papaharilaou, B. Falzon, S. Giordana and C. Griffiths

The geometry of unstented and stented pig common carotid artery bypass grafts

Biorheology: The Official Journal of the International Society of Biorheology, 39 (3-4), pp. 507–512, 2002. doi 10.1177/0006355x2002039003004031

BiBTeX

@article{2002:caro.jeremy.ea:geometrya,
  author = {Caro, Colin and Jeremy, Jamie and Watkins, Nick and Bulbulia, Richard and Angelini, Gianni and Smith, Frank and Wan, Song and Yim, Anthony and Sherwin, Spencer and Peiró, Joaquim and Papaharilaou, Yannis and Falzon, Brian and Giordana, Sergio and Griffiths, Clydd},
  title = {The geometry of unstented and stented pig common carotid artery bypass grafts},
  journal = {Biorheology: The Official Journal of the International Society of Biorheology},
  publisher = {SAGE Publications},
  year = {2002},
  volume = {39},
  number = {3-4},
  pages = {507--512},
  groups = {sherwin},
  doi = {10.1177/0006355x2002039003004031}
}

D. J. Doorly, S. J. Sherwin, P. T. Franke and J. Peiró

Vortical Flow Structure Identification and Flow Transport in Arteries

Computer Methods in Biomechanics and Biomedical Engineering, 5 (3), pp. 261–273, 2002. doi 10.1080/10255840290010715

BiBTeX

@article{2002:doorly.sherwin.ea:vortical,
  author = {Doorly, D.J. and Sherwin, S.J. and Franke, P.T. and Peiró, J.},
  title = {Vortical Flow Structure Identification and Flow Transport in Arteries},
  journal = {Computer Methods in Biomechanics and Biomedical Engineering},
  publisher = {Informa UK Limited},
  year = {2002},
  volume = {5},
  number = {3},
  pages = {261--273},
  groups = {sherwin},
  doi = {10.1080/10255840290010715}
}

C. Eskilsson and S. J. Sherwin

A Discontinuous Spectral Element Model for Boussinesq-Type Equations

Journal of Scientific Computing, 17 (1-4), pp. 143–152, 2002. doi 10.1023/a:1015144429543

BiBTeX

@article{2002:eskilsson.sherwin:discontinuousa,
  author = {Eskilsson, C. and Sherwin, S. J.},
  title = {A Discontinuous Spectral Element Model for Boussinesq-Type Equations},
  journal = {Journal of Scientific Computing},
  publisher = {Springer Science and Business Media LLC},
  year = {2002},
  volume = {17},
  number = {1-4},
  pages = {143--152},
  groups = {sherwin},
  doi = {10.1023/a:1015144429543}
}

M. J. Jackson, Y. Papaharilaou, S. Giordana, C. D. Bicknell, V. Zervas, S. J. Sherwin, D. J. Doorly, J. Peiro, N. J. W. Cheshire and C. G. Caro

In vivo geometric features of femoral bypass distal anastomoses

British Journal of Surgery, 2002.

BiBTeX

@article{2002:jackson.papaharilaou.ea:vivo,
  author = {Jackson, M J and Papaharilaou, Y and Giordana, S and Bicknell, C D and Zervas, V and Sherwin, S J and Doorly, D J and Peiro, J and Cheshire, N J W and Caro, C G},
  title = {In vivo geometric features of femoral bypass distal anastomoses},
  journal = {British Journal of Surgery},
  year = {2002},
  groups = {sherwin}
}

Y. Papaharilaou, D. Doorly and S. Sherwin

The influence of out-of-plane geometry on pulsatile flow within a distal end-to-side anastomosis

Journal of Biomechanics, 35 (9), pp. 1225–1239, 2002. doi 10.1016/s0021-9290(02)00072-6

BiBTeX

@article{2002:papaharilaou.doorly.ea:influence,
  author = {Papaharilaou, Y and Doorly, D.j and Sherwin, S.j},
  title = {The influence of out-of-plane geometry on pulsatile flow within a distal end-to-side anastomosis},
  journal = {Journal of Biomechanics},
  publisher = {Elsevier BV},
  year = {2002},
  volume = {35},
  number = {9},
  pages = {1225--1239},
  groups = {sherwin},
  doi = {10.1016/s0021-9290(02)00072-6}
}

Y. Papaharilaou, D. J. Doorly, S. J. Sherwin, J. Peiro, C. Griffith, N. Cheshire, V. Zervas, J. Anderson, B. Sanghera, N. Watkins and C. G. Caro

Combined MR imaging and numerical simulation of flow in realistic arterial bypass graft models

Biorheology: The Official Journal of the International Society of Biorheology, 39 (3-4), pp. 525–531, 2002. doi 10.1177/0006355x2002039003004034

BiBTeX

@article{2002:papaharilaou.doorly.ea:combineda,
  author = {Papaharilaou, Y. and Doorly, D.J. and Sherwin, S.J. and Peiro, J. and Griffith, C. and Cheshire, N. and Zervas, V. and Anderson, J. and Sanghera, B. and Watkins, N. and Caro, C.G.},
  title = {Combined MR imaging and numerical simulation of flow in realistic arterial bypass graft models},
  journal = {Biorheology: The Official Journal of the International Society of Biorheology},
  publisher = {SAGE Publications},
  year = {2002},
  volume = {39},
  number = {3-4},
  pages = {525--531},
  groups = {sherwin},
  doi = {10.1177/0006355x2002039003004034}
}

J. Peiró, S. Giordana, C. Griffith and S. J. Sherwin

High-order algorithms for vascular flow modelling

International Journal for Numerical Methods in Fluids, 40 (1-2), pp. 137–151, 2002. doi 10.1002/fld.270

BiBTeX

@article{2002:peiro.giordana.ea:highorder,
  author = {Peiró, J. and Giordana, S. and Griffith, C. and Sherwin, S. J.},
  title = {High-order algorithms for vascular flow modelling},
  journal = {International Journal for Numerical Methods in Fluids},
  publisher = {Wiley},
  year = {2002},
  volume = {40},
  number = {1-2},
  pages = {137--151},
  groups = {sherwin},
  doi = {10.1002/fld.270}
}

S. J. Sherwin, D. J. Doorly, P. Franke and J. Peiró

Unsteady near wall residence times and shear exposure in model distal arterial bypass grafts

Biorheology: The Official Journal of the International Society of Biorheology, 39 (3-4), pp. 365–371, 2002. doi 10.1177/0006355x2002039003004012

BiBTeX

@article{2002:sherwin.doorly.ea:unsteadya,
  author = {Sherwin, S.J. and Doorly, D.J. and Franke, P. and Peiró, J.},
  title = {Unsteady near wall residence times and shear exposure in model distal arterial bypass grafts},
  journal = {Biorheology: The Official Journal of the International Society of Biorheology},
  publisher = {SAGE Publications},
  year = {2002},
  volume = {39},
  number = {3-4},
  pages = {365--371},
  groups = {sherwin},
  doi = {10.1177/0006355x2002039003004012}
}

V. Theofilis, D. Barkley and S. Sherwin

Spectral/hp element technology for global flow instability and control

Aeronautical Journal, 2002. doi 10.1017/s0001924000011635

BiBTeX

@article{2002:theofilis.barkley.ea:spectralhp,
  author = {Theofilis, V and Barkley, D and Sherwin, S},
  title = {Spectral/hp element technology for global flow instability and control},
  journal = {Aeronautical Journal},
  year = {2002},
  groups = {sherwin},
  doi = {10.1017/s0001924000011635}
}

2001

G. Coppola, S. J. Sherwin and J. Peiró

Nonlinear Particle Tracking for High-Order Elements

Journal of Computational Physics, 172 (1), pp. 356–386, 2001. doi 10.1006/jcph.2001.6829

BiBTeX

@article{2001:coppola.sherwin.ea:nonlinear,
  author = {Coppola, G. and Sherwin, S.J. and Peiró, J.},
  title = {Nonlinear Particle Tracking for High-Order Elements},
  journal = {Journal of Computational Physics},
  publisher = {Elsevier BV},
  year = {2001},
  volume = {172},
  number = {1},
  pages = {356--386},
  groups = {sherwin},
  doi = {10.1006/jcph.2001.6829}
}

R. M. Darekar and S. J. Sherwin

FLOW PAST A BLUFF BODY WITH A WAVY STAGNATION FACE

Journal of Fluids and Structures, 15 (3-4), pp. 587–596, 2001. doi 10.1006/jfls.2000.0354

BiBTeX

@article{2001:darekar.sherwin:flow,
  author = {Darekar, R.M. and Sherwin, S.J.},
  title = {FLOW PAST A BLUFF BODY WITH A WAVY STAGNATION FACE},
  journal = {Journal of Fluids and Structures},
  publisher = {Elsevier BV},
  year = {2001},
  volume = {15},
  number = {3-4},
  pages = {587--596},
  groups = {sherwin},
  doi = {10.1006/jfls.2000.0354}
}

R. M. Darekar and S. J. Sherwin

Flow past a square-section cylinder with a wavy stagnation face

Journal of Fluid Mechanics, 426, pp. 263–295, 2001. doi 10.1017/s0022112000002299

BiBTeX

@article{2001:darekar.sherwin:flowa,
  author = {Darekar, Rupad M. and Sherwin, Spencer J.},
  title = {Flow past a square-section cylinder with a wavy stagnation face},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {2001},
  volume = {426},
  pages = {263--295},
  groups = {sherwin},
  doi = {10.1017/s0022112000002299}
}

L. Li, S. J. Sherwin and P. W. Bearman

A moving frame of reference algorithm for fluid/structure interaction of rotating and translating bodies

International Journal for Numerical Methods in Fluids, 38 (2), pp. 187–206, 2001. doi 10.1002/fld.216

BiBTeX

@article{2001:li.sherwin.ea:moving,
  author = {Li, L. and Sherwin, S. J. and Bearman, P. W.},
  title = {A moving frame of reference algorithm for fluid/structure interaction of rotating and translating bodies},
  journal = {International Journal for Numerical Methods in Fluids},
  publisher = {Wiley},
  year = {2001},
  volume = {38},
  number = {2},
  pages = {187--206},
  groups = {sherwin},
  doi = {10.1002/fld.216}
}

Y. Papaharilaou, D. J. Doorly and S. J. Sherwin

Assessing the accuracy of two-dimensional phase-contrast MRI measurements of complex unsteady flows

Journal of Magnetic Resonance Imaging, 14 (6), pp. 714–723, 2001. doi 10.1002/jmri.10008

BiBTeX

@article{2001:papaharilaou.doorly.ea:assessing,
  author = {Papaharilaou, Yannis and Doorly, Denis J. and Sherwin, Spencer J.},
  title = {Assessing the accuracy of two-dimensional phase-contrast MRI measurements of complex unsteady flows},
  journal = {Journal of Magnetic Resonance Imaging},
  publisher = {Wiley},
  year = {2001},
  volume = {14},
  number = {6},
  pages = {714--723},
  groups = {sherwin},
  doi = {10.1002/jmri.10008}
}

S. J. Sherwin and J. Peiró

Mesh generation in curvilinear domains using high-order elements

International Journal for Numerical Methods in Engineering, 53 (1), pp. 207–223, 2001. doi 10.1002/nme.397

BiBTeX

@article{2001:sherwin.peiro:mesh,
  author = {Sherwin, S. J. and Peiró, J.},
  title = {Mesh generation in curvilinear domains using high-order elements},
  journal = {International Journal for Numerical Methods in Engineering},
  publisher = {Wiley},
  year = {2001},
  volume = {53},
  number = {1},
  pages = {207--223},
  groups = {sherwin},
  doi = {10.1002/nme.397}
}

S. J. Sherwin and M. Casarin

Low-Energy Basis Preconditioning for Elliptic Substructured Solvers Based on Unstructured Spectral/hp Element Discretization

Journal of Computational Physics, 171 (1), pp. 394–417, 2001. doi 10.1006/jcph.2001.6805

BiBTeX

@article{2001:sherwin.casarin:lowenergy,
  author = {Sherwin, Spencer J. and Casarin, Mario},
  title = {Low-Energy Basis Preconditioning for Elliptic Substructured Solvers Based on Unstructured Spectral/hp Element Discretization},
  journal = {Journal of Computational Physics},
  publisher = {Elsevier BV},
  year = {2001},
  volume = {171},
  number = {1},
  pages = {394--417},
  groups = {sherwin},
  doi = {10.1006/jcph.2001.6805}
}

2000

C. G. Caro, N. Watkins, D. J. Doorly, S. J. Sherwin, J. Peiró and P. T. Franke

Steady flow in a tube with helical internal ridging/channelling

Journal of Physiology, 2000.

BiBTeX

@article{2000:caro.watkins.ea:steady,
  author = {Caro, C G and Watkins, N and Doorly, D J and Sherwin, S J and Peiró, J and Franke, P T},
  title = {Steady flow in a tube with helical internal ridging/channelling},
  journal = {Journal of Physiology},
  year = {2000},
  groups = {sherwin}
}

C. Evangelinos, S. J. Sherwin and G. E. Karniadakis

Parallel DNS algorithms on unstructured grids

Computer Methods in Applied Mechanics and Engineering, 184 (2-4), pp. 401–425, 2000. doi 10.1016/s0045-7825(99)00237-6

BiBTeX

@article{2000:evangelinos.sherwin.ea:parallel,
  author = {Evangelinos, Constantinos and Sherwin, Spencer J. and Karniadakis, George Em},
  title = {Parallel DNS algorithms on unstructured grids},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  publisher = {Elsevier BV},
  year = {2000},
  volume = {184},
  number = {2-4},
  pages = {401--425},
  groups = {sherwin},
  doi = {10.1016/s0045-7825(99)00237-6}
}

G.-S. Karamanos and S. J. Sherwin

A high order splitting scheme for the Navier–Stokes equations with variable viscosity

Applied Numerical Mathematics, 33 (1-4), pp. 455–462, 2000. doi 10.1016/s0168-9274(99)00112-9

BiBTeX

@article{2000:karamanos.sherwin:high,
  author = {Karamanos, G.-S. and Sherwin, S.J.},
  title = {A high order splitting scheme for the Navier--Stokes equations with variable viscosity},
  journal = {Applied Numerical Mathematics},
  publisher = {Elsevier BV},
  year = {2000},
  volume = {33},
  number = {1-4},
  pages = {455--462},
  groups = {sherwin},
  doi = {10.1016/s0168-9274(99)00112-9}
}

S. J. Sherwin, J. Peiró, O. Shah, G.-S. Karamanos and D. J. Doorly

Computational haemodynamics: geometry and non-newtonian modelling using spectral/hp element methods

Computing and Visualization in Science, 3 (1-2), pp. 77–83, 2000. doi 10.1007/s007910050054

BiBTeX

@article{2000:sherwin.peiro.ea:computational,
  author = {Sherwin, S.J. and Peiró, J. and Shah, O. and Karamanos, G.-S. and Doorly, D.J.},
  title = {Computational haemodynamics: geometry and non-newtonian modelling using spectral/hp element methods},
  journal = {Computing and Visualization in Science},
  publisher = {Springer Science and Business Media LLC},
  year = {2000},
  volume = {3},
  number = {1-2},
  pages = {77--83},
  groups = {sherwin},
  doi = {10.1007/s007910050054}
}

S. J. Sherwin and M. Ainsworth

Unsteady Navier–Stokes solvers using hybrid spectral/hp element methods

Applied Numerical Mathematics, 33 (1-4), pp. 357–363, 2000. doi 10.1016/s0168-9274(99)00102-6

BiBTeX

@article{2000:sherwin.ainsworth:unsteady,
  author = {Sherwin, Spencer J. and Ainsworth, Mark},
  title = {Unsteady Navier--Stokes solvers using hybrid spectral/hp element methods},
  journal = {Applied Numerical Mathematics},
  publisher = {Elsevier BV},
  year = {2000},
  volume = {33},
  number = {1-4},
  pages = {357--363},
  groups = {sherwin},
  doi = {10.1016/s0168-9274(99)00102-6}
}

1999

M. Ainsworth and S. Sherwin

Domain decomposition preconditioners for p and hp finite element approximation of Stokes equations

Computer Methods in Applied Mechanics and Engineering, 175 (3-4), pp. 243–266, 1999. doi 10.1016/s0045-7825(98)00356-9

BiBTeX

@article{1999:ainsworth.sherwin:domain,
  author = {Ainsworth, Mark and Sherwin, Spencer},
  title = {Domain decomposition preconditioners for p and hp finite element approximation of Stokes equations},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  publisher = {Elsevier BV},
  year = {1999},
  volume = {175},
  number = {3-4},
  pages = {243--266},
  groups = {sherwin},
  doi = {10.1016/s0045-7825(98)00356-9}
}

I. Robertson and S. Sherwin

Free-Surface Flow Simulation Using hp/Spectral Elements

Journal of Computational Physics, 155 (1), pp. 26–53, 1999. doi 10.1006/jcph.1999.6328

BiBTeX

@article{1999:robertson.sherwin:freesurface,
  author = {Robertson, Iain and Sherwin, Spencer},
  title = {Free-Surface Flow Simulation Using hp/Spectral Elements},
  journal = {Journal of Computational Physics},
  publisher = {Elsevier BV},
  year = {1999},
  volume = {155},
  number = {1},
  pages = {26--53},
  groups = {sherwin},
  doi = {10.1006/jcph.1999.6328}
}

S. J. Sherwin, O. Shah, D. J. Doorly, J. Peiro´, Y. Papaharilaou, N. Watkins, C. G. Caro and C. L. Dumoulin

The Influence of Out-of-Plane Geometry on the Flow Within a Distal End-to-Side Anastomosis

Journal of Biomechanical Engineering, 122 (1), pp. 86–95, 1999. doi 10.1115/1.429630

BiBTeX

@article{1999:sherwin.shah.ea:influence,
  author = {Sherwin, S. J. and Shah, O. and Doorly, D. J. and Peiro´, J. and Papaharilaou, Y. and Watkins, N. and Caro, C. G. and Dumoulin, C. L.},
  title = {The Influence of Out-of-Plane Geometry on the Flow Within a Distal End-to-Side Anastomosis},
  journal = {Journal of Biomechanical Engineering},
  publisher = {ASME International},
  year = {1999},
  volume = {122},
  number = {1},
  pages = {86--95},
  groups = {sherwin},
  doi = {10.1115/1.429630}
}

T. C. Warburton, S. J. Sherwin and G. E. Karniadakis

Basis Functions for Triangular and Quadrilateral High-Order Elements

SIAM Journal on Scientific Computing, 20 (5), pp. 1671–1695, 1999. doi 10.1137/s1064827597315716

BiBTeX

@article{1999:warburton.sherwin.ea:basis,
  author = {Warburton, T. C. and Sherwin, S. J. and Karniadakis, G. E.},
  title = {Basis Functions for Triangular and Quadrilateral High-Order Elements},
  journal = {SIAM Journal on Scientific Computing},
  publisher = {Society for Industrial & Applied Mathematics (SIAM)},
  year = {1999},
  volume = {20},
  number = {5},
  pages = {1671--1695},
  groups = {sherwin},
  doi = {10.1137/s1064827597315716}
}

T. C. Warburton, I. Lomtev, Y. Du, S. J. Sherwin and G. E. Karniadakis

Galerkin and discontinuous Galerkin spectral/hp methods

Computer Methods in Applied Mechanics and Engineering, 175 (3-4), pp. 343–359, 1999. doi 10.1016/s0045-7825(98)00360-0

BiBTeX

@article{1999:warburton.lomtev.ea:galerkin,
  author = {Warburton, T.C. and Lomtev, I. and Du, Y. and Sherwin, S.J. and Karniadakis, G.E.},
  title = {Galerkin and discontinuous Galerkin spectral/hp methods},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  publisher = {Elsevier BV},
  year = {1999},
  volume = {175},
  number = {3-4},
  pages = {343--359},
  groups = {sherwin},
  doi = {10.1016/s0045-7825(98)00360-0}
}

1997

S. J. Sherwin, O. Shah, D. J. Doorly, M. McLean, N. Watkins, C. G. Caro, J. Peiro, M. Tarnawski and C. L. Dumoulin

Visualization and computational study of flow at model planar and non-planar end-to-side arterial bypass grafts.

Journal of Physiology, 1997.

BiBTeX

@article{1997:sherwin.shah.ea:visualization,
  author = {Sherwin, S J and Shah, O and Doorly, D J and McLean, M and Watkins, N and Caro, C G and Peiro, J and Tarnawski, M and Dumoulin, C L},
  title = {Visualization and computational study of flow at model planar and non-planar end-to-side arterial bypass grafts.},
  journal = {Journal of Physiology},
  year = {1997},
  groups = {sherwin}
}

S. J. Sherwin

Hierarchical hp finite elements in hybrid domains

Finite Elements in Analysis and Design, 27 (1), pp. 109–119, 1997. doi 10.1016/s0168-874x(97)00008-5

BiBTeX

@article{1997:sherwin:hierarchical,
  author = {Sherwin, Spencer J.},
  title = {Hierarchical hp finite elements in hybrid domains},
  journal = {Finite Elements in Analysis and Design},
  publisher = {Elsevier BV},
  year = {1997},
  volume = {27},
  number = {1},
  pages = {109--119},
  groups = {sherwin},
  doi = {10.1016/s0168-874x(97)00008-5}
}

1996

S. J. Sherwin and G. E. Karniadakis

TetrahedralhpFinite Elements: Algorithms and Flow Simulations

Journal of Computational Physics, 124 (1), pp. 14–45, 1996. doi 10.1006/jcph.1996.0042

BiBTeX

@article{1996:sherwin.karniadakis:tetrahedralhpfinite,
  author = {Sherwin, S.J. and Karniadakis, G.E.},
  title = {TetrahedralhpFinite Elements: Algorithms and Flow Simulations},
  journal = {Journal of Computational Physics},
  publisher = {Elsevier BV},
  year = {1996},
  volume = {124},
  number = {1},
  pages = {14--45},
  groups = {sherwin},
  doi = {10.1006/jcph.1996.0042}
}

1995

S. J. Sherwin and G. E. Karniadakis

A triangular spectral element method; applications to the incompressible Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering, 123 (1-4), pp. 189–229, 1995. doi 10.1016/0045-7825(94)00745-9

BiBTeX

@article{1995:sherwin.karniadakis:triangular,
  author = {Sherwin, S.J. and Karniadakis, G.E.},
  title = {A triangular spectral element method; applications to the incompressible Navier-Stokes equations},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  publisher = {Elsevier BV},
  year = {1995},
  volume = {123},
  number = {1-4},
  pages = {189--229},
  groups = {sherwin},
  doi = {10.1016/0045-7825(94)00745-9}
}

S. J. Sherwin and G. E. Karniadakis

A new triangular and tetrahedral basis for high-order ( hp ) finite element methods

International Journal for Numerical Methods in Engineering, 38 (22), pp. 3775–3802, 1995. doi 10.1002/nme.1620382204

BiBTeX

@article{1995:sherwin.karniadakis:new,
  author = {Sherwin, Spencer J. and Karniadakis, George Em},
  title = {A new triangular and tetrahedral basis for high-order ( hp ) finite element methods},
  journal = {International Journal for Numerical Methods in Engineering},
  publisher = {Wiley},
  year = {1995},
  volume = {38},
  number = {22},
  pages = {3775--3802},
  groups = {sherwin},
  doi = {10.1002/nme.1620382204}
}

1994

S. J. Sherwin, G. E. Karniadakis and S. A. Orszag

Numerical Simulation of the Ion Etching Process

Journal of Computational Physics, 110 (2), pp. 373–398, 1994. doi 10.1006/jcph.1994.1033

BiBTeX

@article{1994:sherwin.karniadakis.ea:numerical,
  author = {Sherwin, S.J. and Karniadakis, G.E. and Orszag, S.A.},
  title = {Numerical Simulation of the Ion Etching Process},
  journal = {Journal of Computational Physics},
  publisher = {Elsevier BV},
  year = {1994},
  volume = {110},
  number = {2},
  pages = {373--398},
  groups = {sherwin},
  doi = {10.1006/jcph.1994.1033}
}

1993

S. J. Sherwin, E. Barouch, G. E. Karniadakis and S. A. Orszag

Modeling of multilayer ion etching processes

Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures Processing, Measurement, and Phenomena, 11 (4), pp. 1310–1313, 1993. doi 10.1116/1.586934

BiBTeX

@article{1993:sherwin.barouch.ea:modeling,
  author = {Sherwin, S. J. and Barouch, E. and Karniadakis, G. E. and Orszag, S. A.},
  title = {Modeling of multilayer ion etching processes},
  journal = {Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures Processing, Measurement, and Phenomena},
  publisher = {American Vacuum Society},
  year = {1993},
  volume = {11},
  number = {4},
  pages = {1310--1313},
  groups = {sherwin},
  doi = {10.1116/1.586934}
}

2025

J. Gong, G. Vivarelli, S. Stapelfeldt and S. Sherwin

High-Order Spectral/hp Compressible Large Eddy Simulation of Transonic Buffet Over a Supercritical Aerofoil

in AIAA AVIATION FORUM AND ASCEND 2025, 2025. doi 10.2514/6.2025-3503

BiBTeX

@inproceedings{2025:gong.vivarelli.ea:highorder,
  author = {Gong, Jiayi and Vivarelli, Guglielmo and Stapelfeldt, Sina and Sherwin, Spencer},
  title = {High-Order Spectral/hp Compressible Large Eddy Simulation of Transonic Buffet Over a Supercritical Aerofoil},
  booktitle = {AIAA AVIATION FORUM AND ASCEND 2025},
  publisher = {American Institute of Aeronautics and Astronautics},
  year = {2025},
  groups = {sherwin},
  doi = {10.2514/6.2025-3503}
}

J. Gong, G. Vivarelli, S. Stapelfeldt and S. Sherwin

Correction: High-Order Spectral/hp Compressible Large Eddy Simulation of Transonic Buffet Over a Supercritical Aerofoil

in AIAA AVIATION FORUM AND ASCEND 2025, 2025. doi 10.2514/6.2025-3503.c1

BiBTeX

@inproceedings{2025:gong.vivarelli.ea:correction,
  author = {Gong, Jiayi and Vivarelli, Guglielmo and Stapelfeldt, Sina and Sherwin, Spencer},
  title = {Correction: High-Order Spectral/hp Compressible Large Eddy Simulation of Transonic Buffet Over a Supercritical Aerofoil},
  booktitle = {AIAA AVIATION FORUM AND ASCEND 2025},
  publisher = {American Institute of Aeronautics and Astronautics},
  year = {2025},
  groups = {sherwin},
  doi = {10.2514/6.2025-3503.c1}
}

P. Khurana, A. Liosi, S. Sherwin, J. Hoessler, A. Chatzopoulos, A. Swift and F. Bottone
Industrialization of Spectral/HP Element Method for Incompressible, Transitional Flow Around Formula 1 Geometries
in AIAA SCITECH 2025 Forum, Orlando, FL, 2025, p. 0880. doi 10.2514/6.2025-0880
BiBTeX Abstract
```
@inproceedings{2025:khurana.liosi.ea:industrialization,
  author = {Khurana, Parv and Liosi, Alexandra and Sherwin, Spencer and Hoessler, Julien and Chatzopoulos, Athanasios and Swift, Adam and Bottone, Francesco},
  title = {Industrialization of Spectral/HP Element Method for Incompressible, Transitional Flow Around Formula 1 Geometries},
  booktitle = {AIAA SCITECH 2025 Forum},
  year = {2025},
  pages = {0880},
  address = {Orlando, FL},
  month = jan,
  organization = {American Institute of Aeronautics and Astronautics},
  doi = {10.2514/6.2025-0880},
  groups = {app}
}
```
This study applies the high-fidelity spectral/hp element method using the open-source Nektar++ framework to simulate the unsteady, transitional flow around complex 3D geometries representative of the Formula 1 industry. This study extends the work on a previously investigated industrial benchmark, the Imperial Front Wing (IFW), derived from the McLaren MP4-17D race car’s front wing and endplate design. A combined configuration of the IFW with a wheel in contact with a moving ground in a rolling state is considered. The rolling wheel combined with the IFW (IFW-W) provides the most realistic industrial configuration to date. The spectral/hp element method is applied to this test case to solve the incompressible Navier-Stokes equations, simulating the flow at a Reynolds number of 2.2 × 10⁵. Time-averaged results from the unsteady simulation are compared to experimental Particle Image Velocimetry (PIV) data to assess the model’s fidelity, offering insights into its reliability for accurately representing key flow characteristics. This research addresses the challenges and requisites associated with achieving diverse levels of flow resolution using the under-resolved DNS/implicit LES approach.

J. Ye, G. Vivarelli, J. Isler, D. Moxey, S. Sherwin and C. Cantwell

High-fidelity sliding mesh method for moving geometries in turbomachinery applications

in European Conference on Turbomachinery Fluid Dynamics and Thermodynamics, 2025. doi 10.29008/etc2025-309

BiBTeX

@inproceedings{2025:ye.vivarelli.ea:highfidelity,
  author = {Ye, Junjie and Vivarelli, Guglielmo and Isler, João and Moxey, David and Sherwin, Spencer and Cantwell, Chris},
  title = {High-fidelity sliding mesh method for moving geometries in turbomachinery applications},
  booktitle = {European Conference on Turbomachinery Fluid Dynamics and Thermodynamics},
  publisher = {European Turbomachinery Society},
  year = {2025},
  groups = {sherwin},
  doi = {10.29008/etc2025-309}
}

2024

D. Garcia-Ribeiro, A. Zanca, R. Moura, S. Sherwin and V. Malatesta

Implicit LES via spectral/hp methods: rationale and comparison to traditional LES

in 9th European Congress on Computational Methods in Applied Sciences and Engineering, 2024. doi 10.23967/eccomas.2024.039

BiBTeX

@inproceedings{2024:garciaribeiro.zanca.ea:implicit,
  author = {Garcia-Ribeiro, D. and Zanca, A. and Moura, R. and Sherwin, S. and Malatesta, V.},
  title = {Implicit LES via spectral/hp methods: rationale and comparison to traditional LES},
  booktitle = {9th European Congress on Computational Methods in Applied Sciences and Engineering},
  publisher = {CIMNE},
  year = {2024},
  groups = {sherwin},
  doi = {10.23967/eccomas.2024.039}
}

P. Khurana, S. J. Sherwin, J. Hoessler, D. Moxey and A. Chatzopoulos
Lower-order Refined preconditioning for spectral/hp element methods for complex, 3D geometries
in Robust and Scalable Solvers in HPC: Recent Developments and Future Challenges, 2024. doi 10.23967/eccomas.2024.280
BiBTeX Abstract
```
@inproceedings{2024:khurana.sherwin.ea:lower-order,
  author = {Khurana, Parv and Sherwin, Spencer J. and Hoessler, Julien and Moxey, David and Chatzopoulos, Athanasios},
  title = {Lower-order Refined preconditioning for spectral/hp element methods for complex, 3D geometries},
  booktitle = {Robust and Scalable Solvers in HPC: Recent Developments and Future Challenges},
  year = {2024},
  organization = {Scipedia},
  groups = {core},
  doi = {10.23967/eccomas.2024.280},
  url = {https://www.scipedia.com/public/Khurana_et_al_2024a}
}
```
The current work presents the incorporation of the \textitLower-Order Refined (LOR) preconditioner within the incompressible Navier-Stokes equations solver of the open-source spectral/\textithp element method framework \nekpp. This preconditioner is constructed on a low-order (\textitP=1) finite element discretisation spectrally equivalent to a given high-order discretisation. The LOR preconditioner offers advantages such as low-cost operator evaluations, a constant memory requirement per degree of freedom, minimal sensitivity to high aspect-ratio elements, and a controlled iterative condition number with increasing problem size. The contribution extends to developing a functional LOR preconditioner tailored for mixed-element 3D mesh configurations, encompassing both prismatic and tetrahedral elements, allowing for the use of complex geometries that require unstructured 3D meshes with boundary layers. Notably, the \nekpp implementation is the first instance of using the LOR preconditioner with a modal expansion basis function. This study presents the iterative performance and scaling of the proposed preconditioner for solving the pressure Poisson system arising from the incompressible Navier-Stokes equations solver, using industrial test cases relevant to the context of race-car aerodynamics.

A. Liosi, S. Sherwin and J. Hoessler

Improving the Efficiency of the Sub-Stepping Velocity Splitting Scheme within the Nektar++ Framework

in 9th European Congress on Computational Methods in Applied Sciences and Engineering, 2024. doi 10.23967/eccomas.2024.270

BiBTeX

@inproceedings{2024:liosi.sherwin.ea:improving,
  author = {Liosi, A. and Sherwin, S. and Hoessler, J.},
  title = {Improving the Efficiency of the Sub-Stepping Velocity Splitting Scheme within the Nektar++ Framework},
  booktitle = {9th European Congress on Computational Methods in Applied Sciences and Engineering},
  publisher = {CIMNE},
  year = {2024},
  groups = {sherwin},
  doi = {10.23967/eccomas.2024.270}
}

2023

J. Isler, G. Vivarelli, F. Montomoli, S. Sherwin, P. Adami and R. Vazquez

High Fidelity Compressible and Incompressible Flow Simulations of an Engine Intake Pressure Distribution

in European Conference on Turbomachinery Fluid Dynamics and Thermodynamics etc, 2023.

BiBTeX

@inproceedings{2023:isler.vivarelli.ea:high,
  author = {Isler, J and Vivarelli, G and Montomoli, F and Sherwin, S and Adami, P and Vazquez, R},
  title = {High Fidelity Compressible and Incompressible Flow Simulations of an Engine Intake Pressure Distribution},
  journal = {European Conference on Turbomachinery Fluid Dynamics and Thermodynamics etc},
  year = {2023},
  groups = {sherwin}
}

D. Lindblad, S. J. Sherwin, C. Cantwell, J. Lawrence, A. Proenca and M. Moragues Ginard
Large Eddy Simulations of Isolated and Installed Jet Noise using the High-Order Discontinuous Galerkin Method
in AIAA SciTech 2023 Forum, 2023, p. 1546. doi 10.2514/6.2023-1546
BiBTeX Abstract
```
@inproceedings{2023:lindblad.sherwin.ea:large,
  author = {Lindblad, Daniel and Sherwin, Spencer J and Cantwell, Chris and Lawrence, Jack and Proenca, Anderson and Moragues Ginard, Margarida},
  title = {Large Eddy Simulations of Isolated and Installed Jet Noise using the High-Order Discontinuous Galerkin Method},
  booktitle = {AIAA SciTech 2023 Forum},
  year = {2023},
  pages = {1546},
  doi = {10.2514/6.2023-1546},
  groups = {app}
}
```
A recently developed computational framework for jet noise is used to compute the noise generated by an isolated and installed jet. The framework consists of two parts. In the first part, the spectral/hp element framework Nektar++ is used to compute the near-field flow. Nektar++ solves the unfiltered Navier-Stokes equations on unstructured grids using the high-order discontinuous Galerkin method. The discrete equations are integrated in time using an implicit scheme based on the matrix-free Newton-GMRES method. In the second part, the Antares library is used to compute the far-field noise. Antares solves the Ffowcs Williams - Hawkings equation for a permeable integration surface in the time domain using a source-time dominant algorithm. The simulations are validated against experimental data obtained in the Doak Laboratory Flight Jet Rig, located at the University of Southampton. For the isolated jet, good agreement is achieved, both in terms of the flow statistics and the far-field noise. The discrepancies observed for the isolated jet are believed to be caused by an under-resolved boundary layer in the simulations. For the installed jet, the flow statistics are also well predicted. In the far-field, very good agreement is achieved for downstream observers. For upstream observers, some discrepancies are observed for very high and very low frequencies.
D. Lindblad, S. J. Sherwin, C. D. Cantwell, J. Lawrence, A. Proenca and M. Moragues Ginard
Aeroacoustic analysis of a closely installed chevron nozzle jet using the high-order discontinuous Galerkin method
in AIAA AVIATION 2023 Forum, 2023, p. 3831. doi 10.2514/6.2023-3831
BiBTeX Abstract
```
@inproceedings{2023:lindblad.sherwin.ea:aeroacoustic,
  author = {Lindblad, Daniel and Sherwin, Spencer J and Cantwell, Chris D and Lawrence, Jack and Proenca, Anderson and Moragues Ginard, Margarida},
  title = {Aeroacoustic analysis of a closely installed chevron nozzle jet using the high-order discontinuous Galerkin method},
  booktitle = {AIAA AVIATION 2023 Forum},
  year = {2023},
  pages = {3831},
  groups = {app},
  doi = {10.2514/6.2023-3831}
}
```
In this paper, we use Large Eddy Simulations (LES) in combination with the Ffowcs Williams - Hawkings method to study the influence of chevrons on the flow field as well as the noise produced by a closely installed M = 0.6 jet. The LES simulations are performed with the spectral/hp element framework Nektar++. Nektar++ uses the high-order discontinuous Galerkin method and an implicit scheme based on the matrix-free Newton-GMRES method to discretize the unfiltered Navier-Stokes equations in space and time, respectively. The far-field noise is computed using Antares. Antares solves the Ffowcs Williams - Hawkings equation for a permeable integration surface in the time-domain using a source-time dominant algorithm. The aerodynamic results show good agreement with experimental data obtained in the Doak Laboratory Flight Jet Rig, located at the University of Southampton. Some discrepancies are observed in terms of the far-field noise levels, especially for higher polar observer angles relative to the downstream jet axis. In terms of noise reduction potential, the simulations predict that the chevrons reduce the OASPL by 1dB compared to an installed round nozzle for all observers located on the unshielded side of the wing. This should be compared to the experiments, which predict a 1.5dB noise reduction for the same chevron nozzle.

Y. F. Marioni, P. Adami, F. Montomoli, R. Vázquez-Díaz and S. Sherwin

MACHINE-LEARNT TURBULENCE CLOSURES FOR AXIAL COMPRESSOR CASCADE WITH CORNER SEPARATION

in European Conference on Turbomachinery Fluid Dynamics and Thermodynamics etc, 2023.

BiBTeX

@inproceedings{2023:marioni.adami.ea:machinelearnt,
  author = {Marioni, Y F and Adami, P and Montomoli, F and Vázquez-Díaz, R and Sherwin, S},
  title = {MACHINE-LEARNT TURBULENCE CLOSURES FOR AXIAL COMPRESSOR CASCADE WITH CORNER SEPARATION},
  journal = {European Conference on Turbomachinery Fluid Dynamics and Thermodynamics etc},
  year = {2023},
  groups = {sherwin}
}

G. Vivarelli, J. A. Isler, T. S. Williams, F. Montomoli, S. J. Sherwin, M. Wilson, P. Adami and R. Vazquez-Diaz

ON THE EFFECT OF CURVATURE AND COMPRESSIBILITY IN LAMINAR BOUNDARY LAYERS OVER FAN BLADES

in European Conference on Turbomachinery Fluid Dynamics and Thermodynamics etc, 2023.

BiBTeX

@inproceedings{2023:vivarelli.isler.ea:effect,
  author = {Vivarelli, G and Isler, J A and Williams, T S and Montomoli, F and Sherwin, S J and Wilson, M and Adami, P and Vazquez-Diaz, R},
  title = {ON THE EFFECT OF CURVATURE AND COMPRESSIBILITY IN LAMINAR BOUNDARY LAYERS OVER FAN BLADES},
  journal = {European Conference on Turbomachinery Fluid Dynamics and Thermodynamics etc},
  year = {2023},
  groups = {sherwin}
}

2022

Y. Frey Marioni, P. Adami, R. Vazquez Diaz, A. Cassinelli, S. Sherwin and F. Montomoli

Development of Machine-Learnt Turbulence Closures for Wake Mixing Predictions in Low-Pressure Turbines

in Volume 10C: Turbomachinery — Design Methods and CFD Modeling for Turbomachinery; Ducts, Noise, and Component Interactions, 2022. doi 10.1115/gt2022-82531

BiBTeX

@inproceedings{2022:freymarioni.adami.ea:development,
  author = {Frey Marioni, Yuri and Adami, Paolo and Vazquez Diaz, Raul and Cassinelli, Andrea and Sherwin, Spencer and Montomoli, Francesco},
  title = {Development of Machine-Learnt Turbulence Closures for Wake Mixing Predictions in Low-Pressure Turbines},
  booktitle = {Volume 10C: Turbomachinery --- Design Methods and CFD Modeling for Turbomachinery; Ducts, Noise, and Component Interactions},
  publisher = {American Society of Mechanical Engineers},
  year = {2022},
  groups = {sherwin},
  doi = {10.1115/gt2022-82531}
}

A. K. Gao, S. J. Sherwin and C. D. Cantwell

THREE-DIMENSIONAL TRANSITION OF A LOW REYNOLDS NUMBER FLOW PAST A PLUNGING NACA 0012 AIRFOIL AT POST-STALL ANGLE OF ATTACK

in 12th International Symposium on Turbulence and Shear Flow Phenomena Tsfp 2022, 2022.

BiBTeX

@inproceedings{2022:gao.sherwin.ea:threedimensional,
  author = {Gao, A K and Sherwin, S J and Cantwell, C D},
  title = {THREE-DIMENSIONAL TRANSITION OF A LOW REYNOLDS NUMBER FLOW PAST A PLUNGING NACA 0012 AIRFOIL AT POST-STALL ANGLE OF ATTACK},
  journal = {12th International Symposium on Turbulence and Shear Flow Phenomena Tsfp 2022},
  year = {2022},
  groups = {sherwin}
}

M. Lahooti, G. Vivarelli, F. Montomoli and S. Sherwin

Under-resolved Direct Numerical Simulation of NACA0012 at Stall

in 8th European Congress on Computational Methods in Applied Sciences and Engineering, 2022. doi 10.23967/eccomas.2022.281

BiBTeX

@inproceedings{2022:lahooti.vivarelli.ea:underresolved,
  author = {Lahooti, M. and Vivarelli, G. and Montomoli, F. and Sherwin, S.},
  title = {Under-resolved Direct Numerical Simulation of NACA0012 at Stall},
  booktitle = {8th European Congress on Computational Methods in Applied Sciences and Engineering},
  publisher = {CIMNE},
  year = {2022},
  groups = {sherwin},
  doi = {10.23967/eccomas.2022.281}
}

D. Lindblad, S. Sherwin, C. Cantwell, J. Lawrence, A. Proenca and M. Moragues Ginard
Aeroacoustic analysis of a subsonic jet using the discontinuous Galerkin method
in 28th AIAA/CEAS Aeroacoustics 2022 Conference, 2022, p. 2932. doi 10.2514/6.2022-2932
BiBTeX Abstract
```
@inproceedings{2022:lindblad.sherwin.ea:aeroacoustic,
  author = {Lindblad, Daniel and Sherwin, Spencer and Cantwell, Chris and Lawrence, Jack and Proenca, Anderson and Moragues Ginard, Margarida},
  title = {Aeroacoustic analysis of a subsonic jet using the discontinuous {Galerkin} method},
  booktitle = {28th AIAA/CEAS Aeroacoustics 2022 Conference},
  year = {2022},
  pages = {2932},
  groups = {app},
  doi = {10.2514/6.2022-2932}
}
```
In this work, the open-source spectral/hp element framework Nektar++ is coupled with the Antares library to predict noise from a subsonic jet. Nektar++ uses the high-order discontinuous Galerkin method to solve the compressible Navier-Stokes equations on unstructured grids. Unresolved turbulent scales are modeled using an implicit Large Eddy Simulation approach. In this approach, the favourable dissipation properties of the discontinuous Galerkin method are used to remove the highest resolved wavenumbers from the solution. For time-integration, an implicit, matrix-free, Newton-Krylov method is used. To compute the far-field noise, Antares solves the Ffowcs Williams - Hawkings equation for a permeable integration surface in the time-domain using a source-time dominant algorithm. The simulation results are validated against experimental data obtained in the Doak Laboratory Flight Jet Rig, located at the University of Southampton.
B. Liu, C. D. Cantwell, D. Moxey, G. Mashy and S. J. Sherwin
Vectorised spectral/hp element matrix-free operator for anisotropic heat transport in tokamak edge plasma
in 8th European Congress on Computational Methods in Applied Sciences and Engineering, 2022. doi 10.23967/eccomas.2022.291
BiBTeX Abstract
```
@inproceedings{2022:liu.cantwell.ea:vectorised,
  author = {Liu, Bin and Cantwell, CD and Moxey, David and Mashy, G and Sherwin, SJ},
  title = {Vectorised spectral/$hp$ element matrix-free operator for anisotropic heat transport in tokamak edge plasma},
  booktitle = {8th European Congress on Computational Methods in Applied Sciences and Engineering},
  year = {2022},
  organization = {Newcastle University},
  groups = {app},
  doi = {10.23967/eccomas.2022.291}
}
```
A highly efficient matrix-free Helmholtz operator with single-instruction multipledata (SIMD) vectorisation is implemented in Nektar++ and applied to the simulation of anisotropic heat transport in tokamak edge plasma. A tokamak is currently the leading candidate for a practical fusion reactor using the magnetic confinement approach to produce electricity through controlled thermonuclear fusion. Predicting the transport of heat in magnetized plasma is important to designing a safe tokamak design. Due to the ionized nature of plasma, the heat conduction of the magnetized plasma is highly anisotropic along the magnetic field lines. In this study, a variational form is proposed to simulate the anisotropic heat transport in magnetized plasma and the details of its mathematical derivation and implementation are presented. To accurately approximate the thermal load of plasma deposition on the wall of tokamak chamber, highly scalable and efficient algorithms are crucial. To achieve this, a matrix-free Helmholtz operator is implemented in the Nektar++ framework, utilising sum-factorisation to reduce the operation count and increase arithmetic intensity, and leveraging SIMD vectorisation to accelerate the computation on modern hardware. The performance of the implementation is assessed by measuring throughput and speed-up of the operators using deformed and regular quadrilateral and triangular elements.
G. Lyu, C. Chen, X. Du, M. S. Mughal and S. J. Sherwin
Open-source framework for transonic boundary layer natural transition analysis over complex geometries in Nektar++
in AIAA AVIATION 2022 Forum, 2022, p. 4032. doi 10.48550/arXiv.2201.05404
BiBTeX Abstract
```
@inproceedings{2022:lyu.chen.ea:open-source,
  author = {Lyu, Ganlin and Chen, Chao and Du, Xi and Mughal, Mohammed S and Sherwin, Spencer J},
  title = {Open-source framework for transonic boundary layer natural transition analysis over complex geometries in {Nektar++}},
  booktitle = {AIAA AVIATION 2022 Forum},
  year = {2022},
  pages = {4032},
  groups = {app},
  doi = {10.48550/arXiv.2201.05404}
}
```
In this paper, we present recent efforts to develop reduced order modeling (ROM) capabilities for spectral element methods (SEM). Namely, we detail the implementation of ROM for both continuous Galerkin and discontinuous Galerkin methods in the spectral/hp element library Nektar++. The ROM approaches adopted are intrusive methods based on the proper orthogonal decomposition (POD). They admit an offline-online decomposition, such that fast evaluations for parameter studies and many-queries are possible. An affine parameter dependency is exploited such that the reduced order model can be evaluated independent of the large-scale discretization size. The implementation in the context of SEM can be found in the open-source model reduction software ITHACA-SEM.
G. Vivarelli, J. A. Isler, F. Montomoli, S. J. Sherwin and P. Adami
High-Order Spectral/hp Compressible and Incompressible Comparison of Transitional Boundary-Layers Subject to a Realistic Pressure Gradient and High Reynolds Number
in Turbo Expo: Power for Land, Sea, and Air, 2022, 86113, p. V10CT32A024. doi 10.1115/GT2022-82100
BiBTeX Abstract
```
@inproceedings{2022:vivarelli.isler.ea:high-order,
  author = {Vivarelli, Guglielmo and Isler, Jo{\~a}o Anderson and Montomoli, Francesco and Sherwin, Spencer J and Adami, Paolo},
  title = {High-Order Spectral/$hp$ Compressible and Incompressible Comparison of Transitional Boundary-Layers Subject to a Realistic Pressure Gradient and High $Reynolds$ Number},
  booktitle = {Turbo Expo: Power for Land, Sea, and Air},
  year = {2022},
  volume = {86113},
  pages = {V10CT32A024},
  organization = {American Society of Mechanical Engineers},
  groups = {core},
  doi = {10.1115/GT2022-82100}
}
```
Within the literature, there are limited high-order results concerning large Reynolds number flows under the influence of strong adverse pressure gradients, mainly due to the computational expense involved. The main advantage in employing high-order methodologies over standard second-order finite-volume solvers, relates to their ability to increase accuracy with a significantly lower number of degrees of freedom. In theory, this would permit Direct Numerical Simulation sort of analysis. Yet, there is still a significant computational cost involved. For this reason, an efficient approach to analyse such flows by means of a Nektar++ high-order Implicit Large Eddy Simulation is proposed. The flow conditions considered in this case cause a separation bubble to form with consequent turbulent transition. In particular, Tollmien-Schlichting instabilities trigger Kelvin-Helmholtz behaviour, which in turn cause the turbulent transition. The bulk of the study will be carried out with the incompressible flow solver, as it is assumed that compressibility effects are negligible within the boundary layer. An initial 2D analysis will be conducted to determine the necessary spatial resolution and whether it is possible to consider a subset of the overall simulation domain to reduce the computational expense. Once this will have been established, the 3D results will be achieved by Fourier expansion in the cross-flow direction. These results will prove the cost-effectiveness of the methodology, that could be used within an industrial setting with a limited turn-around time. Additionally, a comparison between the results achieved by means of the Nektar++ compressible flow solver in 2D and 3D will be provided, to assess any differences that may be present.

2021

A. Cassinelli, A. Mateo, F. Montomoli, P. Adami, R. V. Díaz and S. J. Sherwin

REYNOLDS SENSITIVITY OF THE WAKE PASSING EFFECT ON A LPT CASCADE USING SPECTRAL/HP ELEMENT METHODS

in European Conference on Turbomachinery Fluid Dynamics and Thermodynamics etc, 2021.

BiBTeX

@inproceedings{2021:cassinelli.mateo.ea:reynolds,
  author = {Cassinelli, A and Mateo, A and Montomoli, F and Adami, P and Díaz, R V and Sherwin, S J},
  title = {REYNOLDS SENSITIVITY OF THE WAKE PASSING EFFECT ON A LPT CASCADE USING SPECTRAL/HP ELEMENT METHODS},
  journal = {European Conference on Turbomachinery Fluid Dynamics and Thermodynamics etc},
  year = {2021},
  groups = {sherwin}
}

M. Lahooti, R. Palacios and S. J. Sherwin

Thick Strip Method for Efficient Large-Eddy Simulations of Flexible Wings in Stall

in AIAA Scitech 2021 Forum, 2021. doi 10.2514/6.2021-0363

BiBTeX

@inproceedings{2021:lahooti.palacios.ea:thick,
  author = {Lahooti, Mohsen and Palacios, Rafael and Sherwin, Spencer J.},
  title = {Thick Strip Method for Efficient Large-Eddy Simulations of Flexible Wings in Stall},
  booktitle = {AIAA Scitech 2021 Forum},
  publisher = {American Institute of Aeronautics and Astronautics},
  year = {2021},
  groups = {sherwin},
  doi = {10.2514/6.2021-0363}
}

S. Sherwin, M. Lahooti, Y. Bao, M. Graham and R. Palacios

The thick strip method for slender body fluid structure interaction

in 9th International Conference on Computational Methods for Coupled Problems in Science and Engineering Coupled Problems 2021, 2021.

BiBTeX

@inproceedings{2021:sherwin.lahooti.ea:thick,
  author = {Sherwin, S and Lahooti, M and Bao, Y and Graham, M and Palacios, R},
  title = {The thick strip method for slender body fluid structure interaction},
  journal = {9th International Conference on Computational Methods for Coupled Problems in Science and Engineering Coupled Problems 2021},
  year = {2021},
  groups = {sherwin}
}

2020

J. Marcon, D. A. Kopriva, S. J. Sherwin and J. Peiro

Naturally curved quadrilateral mesh generation using an adaptive spectral element solver

in Proceedings of the 28th International Meshing Roundtable, 2020. doi 10.5281/zenodo.3653409

BiBTeX

@inproceedings{2020:marcon.kopriva.ea:naturally,
  author = {Marcon, Julian and Kopriva, David A and Sherwin, Spencer J and Peiro, Joaquim},
  title = {Naturally curved quadrilateral mesh generation using an adaptive spectral element solver},
  journal = {Proceedings of the 28th International Meshing Roundtable},
  year = {2020},
  groups = {sherwin},
  doi = {10.5281/zenodo.3653409}
}

2019

F. F. Buscariolo, J. R. Meneghini, G. R. da S. Assi and S. J. Sherwin

Diffuser study on a squared-back ahmed body considering ILES-SVV

in 11th International Symposium on Turbulence and Shear Flow Phenomena Tsfp 2019, 2019.

BiBTeX

@inproceedings{2019:buscariolo.meneghini.ea:diffuser,
  author = {Buscariolo, F F and Meneghini, J R and Assi, G R da Silva and Sherwin, S J},
  title = {Diffuser study on a squared-back ahmed body considering ILES-SVV},
  journal = {11th International Symposium on Turbulence and Shear Flow Phenomena Tsfp 2019},
  year = {2019},
  groups = {sherwin}
}

A. Cassinelli, H. Xu, F. Montomoli, P. Adami, R. Vazquez Diaz and S. J. Sherwin

On the Effect of Inflow Disturbances on the Flow Past a Linear LPT Vane Using Spectral/hp Element Methods

in Volume 2C: Turbomachinery, 2019. doi 10.1115/gt2019-91622

BiBTeX

@inproceedings{2019:cassinelli.xu.ea:effect,
  author = {Cassinelli, Andrea and Xu, Hui and Montomoli, Francesco and Adami, Paolo and Vazquez Diaz, Raul and Sherwin, Spencer J.},
  title = {On the Effect of Inflow Disturbances on the Flow Past a Linear LPT Vane Using Spectral/hp Element Methods},
  booktitle = {Volume 2C: Turbomachinery},
  publisher = {American Society of Mechanical Engineers},
  year = {2019},
  groups = {sherwin},
  doi = {10.1115/gt2019-91622}
}

E. E. Cooke, M. S. Mughal, S. Sherwin, R. Ashworth and S. Rolston

Destabilisation of Stationary and Travelling Crossflow Disturbances Due to Steps over a Swept Wing

in AIAA Aviation 2019 Forum, 2019. doi 10.2514/6.2019-3533

BiBTeX

@inproceedings{2019:cooke.mughal.ea:destabilisation,
  author = {Cooke, Emma E. and Mughal, Mohammed S. and Sherwin, Spencer and Ashworth, Richard and Rolston, Stephen},
  title = {Destabilisation of Stationary and Travelling Crossflow Disturbances Due to Steps over a Swept Wing},
  booktitle = {AIAA Aviation 2019 Forum},
  publisher = {American Institute of Aeronautics and Astronautics},
  year = {2019},
  groups = {sherwin},
  doi = {10.2514/6.2019-3533}
}

X. Mao, T. Zaki, S. Sherwin and H. Blackburn

Bypass transition induced by free-stream noise in flow past a blade cascade

in Open Archives of the 16th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery Isromac 2016, 2019.

BiBTeX

@inproceedings{2019:mao.zaki.ea:bypass,
  author = {Mao, X and Zaki, T and Sherwin, S and Blackburn, H},
  title = {Bypass transition induced by free-stream noise in flow past a blade cascade},
  journal = {Open Archives of the 16th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery Isromac 2016},
  year = {2019},
  groups = {sherwin}
}

J. Marcon, D. A. Kopriva, S. J. Sherwin and J. Peiró

NATURALLY CURVED QUADRILATERAL MESH GENERATION USING AN ADAPTIVE SPECTRAL ELEMENT SOLVER

in Proceedings of the 28th International Meshing Roundtable Imr 2019, 2019.

BiBTeX

@inproceedings{2019:marcon.kopriva.ea:naturally,
  author = {Marcon, J and Kopriva, D A and Sherwin, S J and Peiró, J},
  title = {NATURALLY CURVED QUADRILATERAL MESH GENERATION USING AN ADAPTIVE SPECTRAL ELEMENT SOLVER},
  journal = {Proceedings of the 28th International Meshing Roundtable Imr 2019},
  year = {2019},
  groups = {sherwin}
}

2018

F. F. Buscariolo, S. J. Sherwin, G. R. S. Assi and J. R. Meneghini

Spectral/hp iLES-SVV simulation methodology study on an Ahmed Body squared back

in SAE Technical Paper Series, 2018, 1. doi 10.4271/2018-36-0320

BiBTeX

@inproceedings{2018:buscariolo.sherwin.ea:spectralhp,
  author = {Buscariolo, Filipe Fabian and Sherwin, Spencer J. and Assi, Gustavo R. S. and Meneghini, Julio R.},
  title = {Spectral/hp iLES-SVV simulation methodology study on an Ahmed Body squared back},
  booktitle = {SAE Technical Paper Series},
  publisher = {SAE International},
  year = {2018},
  volume = {1},
  groups = {sherwin},
  doi = {10.4271/2018-36-0320}
}

A. Cassinelli, F. Montomoli, P. Adami and S. J. Sherwin

High fidelity Spectral/HP element methods for turbomachinery

in Proceedings of the ASME Turbo Expo, 2018. doi 10.1115/gt201875733

BiBTeX

@inproceedings{2018:cassinelli.montomoli.ea:high,
  author = {Cassinelli, A. and Montomoli, F. and Adami, P. and Sherwin, S.J.},
  title = {High fidelity Spectral/HP element methods for turbomachinery},
  journal = {Proceedings of the ASME Turbo Expo},
  year = {2018},
  groups = {sherwin},
  doi = {10.1115/gt201875733},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-85054071315&partnerID=MN8TOARS}
}

J. Cohen, J. Marcon, M. Turner, C. Cantwell, S. J. Sherwin, J. Peiró and D. Moxey
Simplifying high-order mesh generation for computational scientists
2018. doi 10.5281/zenodo.3760858
BiBTeX Abstract
```
@inproceedings{2018:cohen.marcon.ea:simplifying,
  author = {Cohen, Jeremy and Marcon, Julian and Turner, Michael and Cantwell, Chris and Sherwin, SJ and Peir{\'o}, Joaquim and Moxey, David},
  title = {Simplifying high-order mesh generation for computational scientists},
  year = {2018},
  organization = {CEUR Workshop Proceedings},
  groups = {core},
  doi = {10.5281/zenodo.3760858}
}
```
Computational modelling is now tightly integrated into many fields of research in science and industry. Computa- tional fluid dynamics software, for example, gives engineers the ability to model fluid flow around complex geometries defined in Computer-Aided Design (CAD) packages, without the expense of constructing large wind tunnel experiments. However, such modelling requires translation from an initial CAD geometry to a mesh of many small elements that modelling software uses to represent the approximate solution in the numerical method. Generating sufficiently high-quality meshes for simulation is a time-consuming, iterative and error-prone process that is often complicated by the need to interact with multiple command-line tools to generate and visualise the mesh data. In this paper we describe our approach to overcoming this complexity through the addition of a meshing console to Nekkloud, a science gateway for simplifying access to the functionality of the Nektar++ spectral/hp element framework. The meshing console makes use of the NekMesh tool in Nektar++ to help reduce the complexity of the mesh generation process. It offers a web-based interface for specifying parameters, undertaking meshing and visualising results. The meshing console enables Nekkloud to offer support for a full, end-to-end simulation pipeline from initial CAD geometry to simulation results.

2017

R. C. Moura, J. Peiro and S. J. Sherwin

On the accuracy and robustness of implicit LES/under-resolved DNS approaches based on spectral element methods

in 10th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2017, 2017.

BiBTeX

@inproceedings{2017:moura.peiro.ea:accuracya,
  author = {Moura, R.C. and Peiro, J. and Sherwin, S.J.},
  title = {On the accuracy and robustness of implicit LES/under-resolved DNS approaches based on spectral element methods},
  journal = {10th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2017},
  year = {2017},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-85033235923&partnerID=MN8TOARS}
}

D. Moxey, C. D. Cantwell, G. Mengaldo, D. Serson, D. Ekelschot, J. Peiró, S. J. Sherwin and R. M. Kirby
Towards p-adaptive spectral/hp element methods for modelling industrial flows
in Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016, 2017, pp. 63–79. doi 10.1007/978-3-319-65870-4_4
BiBTeX Abstract
```
@inproceedings{2017:moxey.cantwell.ea:towards*1,
  author = {Moxey, D. and Cantwell, C. D. and Mengaldo, G. and Serson, D. and Ekelschot, D. and Peir\'o, J. and Sherwin, S. J. and Kirby, R. M.},
  title = {Towards $p$-adaptive spectral/$hp$ element methods for modelling industrial flows},
  booktitle = {Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016},
  year = {2017},
  pages = {63--79},
  doi = {10.1007/978-3-319-65870-4_4},
  groups = {app}
}
```
There is an increasing requirement from both academia and industry for high-fidelity flow simulations that are able to accurately capture complicated and transient flow dynamics in complex geometries. Coupled with the growing availability of high-performance, highly parallel computing resources, there is therefore a demand for scalable numerical methods and corresponding software frameworks which can deliver the next-generation of complex and detailed fluid simulations to scientists and engineers in an efficient way. In this article we discuss recent and upcoming advances in the use of the \emphspectral/hp element method for addressing these modelling challenges. To use these methods efficiently for such applications, is critical that computational resolution is placed in the regions of the flow where it is needed most, which is often not known \empha priori. We propose the use of spatially and temporally varying polynomial order, coupled with appropriate error estimators, as key requirements in permitting these methods to achieve computationally efficient high-fidelity solutions to complex flow problems in the fluid dynamics community.

2016

P. Grigoras, P. Burovskiy, W. Luk and S. Sherwin

Optimising Sparse Matrix Vector multiplication for large scale FEM problems on FPGA

in 2016 26th International Conference on Field Programmable Logic and Applications (FPL), 2016, pp. 1–9. doi 10.1109/fpl.2016.7577352

BiBTeX

@inproceedings{2016:grigoras.burovskiy.ea:optimising,
  author = {Grigoras, Paul and Burovskiy, Pavel and Luk, Wayne and Sherwin, Spencer},
  title = {Optimising Sparse Matrix Vector multiplication for large scale FEM problems on FPGA},
  booktitle = {2016 26th International Conference on Field Programmable Logic and Applications (FPL)},
  publisher = {IEEE},
  year = {2016},
  pages = {1--9},
  groups = {sherwin},
  doi = {10.1109/fpl.2016.7577352}
}

X. Mao, T. Zaki, S. Sherwin and H. Blackburn

Bypass transition induced by free-stream noise in flow past a blade cascade

in Open Archives of the 16th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, ISROMAC 2016, 2016.

BiBTeX

@inproceedings{2016:mao.zaki.ea:bypass,
  author = {Mao, X and Zaki, T and Sherwin, S and Blackburn, H},
  title = {Bypass transition induced by free-stream noise in flow past a blade cascade},
  journal = {Open Archives of the 16th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, ISROMAC 2016},
  year = {2016},
  groups = {sherwin}
}

M. Turner, D. Moxey, S. J. Sherwin and J. Peiro

AUTOMATIC GENERATION OF 3D UNSTRUCTURED HIGH-ORDER CURVILINEAR MESHE

in Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016), 2016, pp. 428–443. doi 10.7712/100016.1825.8410

BiBTeX

@inproceedings{2016:turner.moxey.ea:automatic,
  author = {Turner, Michael and Moxey, David and Sherwin, Spencer J. and Peiro, Joaquim},
  title = {AUTOMATIC GENERATION OF 3D UNSTRUCTURED HIGH-ORDER CURVILINEAR MESHE},
  booktitle = {Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)},
  publisher = {Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece},
  year = {2016},
  pages = {428--443},
  groups = {sherwin},
  doi = {10.7712/100016.1825.8410}
}

H. Xu, M. S. Mughal, E. R. Gowree and S. Sherwin

Effect of a 3d surface indentation on boundary layer stability

in ICAS proceedings, 2016.

BiBTeX

@inproceedings{2016:xu.mughal.ea:effect,
  author = {Xu, H and Mughal, M S and Gowree, E R and Sherwin, S},
  title = {Effect of a 3d surface indentation on boundary layer stability},
  journal = {ICAS proceedings},
  year = {2016},
  groups = {sherwin}
}

H. Xu, S. Mughal, E. R. Gowree and S. J. Sherwin

Effect of a 3D indentation on boundary layer instability

in 30th Congress of the International Council of the Aeronautical Sciences, ICAS 2016, 2016.

BiBTeX

@inproceedings{2016:xu.mughal.ea:effecta,
  author = {Xu, H. and Mughal, S. and Gowree, E.R. and Sherwin, S.J.},
  title = {Effect of a 3D indentation on boundary layer instability},
  journal = {30th Congress of the International Council of the Aeronautical Sciences, ICAS 2016},
  year = {2016},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-85013667546&partnerID=MN8TOARS}
}

2015

R. L. Ali, C. D. Cantwell, N. A. Qureshi, C. H. Roney, P. B. Lim, S. J. Sherwin, J. H. Siggers and N. S. Peters

Automated fiducial point selection for reducing registration error in the co-localisation of left atrium electroanatomic and imaging data

in 2015 37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 2015, pp. 1989–1992. doi 10.1109/embc.2015.7318775

BiBTeX

@inproceedings{2015:ali.cantwell.ea:automated,
  author = {Ali, Rheeda L. and Cantwell, Chris D. and Qureshi, Norman A. and Roney, Caroline H. and Lim, Phang Boon and Sherwin, Spencer J. and Siggers, Jennifer H. and Peters, Nicholas S.},
  title = {Automated fiducial point selection for reducing registration error in the co-localisation of left atrium electroanatomic and imaging data},
  booktitle = {2015 37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC)},
  publisher = {IEEE},
  year = {2015},
  pages = {1989--1992},
  groups = {sherwin},
  doi = {10.1109/embc.2015.7318775}
}

P. Burovskiy, P. Grigoras, S. Sherwin and W. Luk

Efficient assembly for high order unstructured FEM meshes

in 2015 25th International Conference on Field Programmable Logic and Applications (FPL), 2015, pp. 1–6. doi 10.1109/fpl.2015.7293749

BiBTeX

@inproceedings{2015:burovskiy.grigoras.ea:efficient,
  author = {Burovskiy, Pavel and Grigoras, Paul and Sherwin, Spencer and Luk, Wayne},
  title = {Efficient assembly for high order unstructured FEM meshes},
  booktitle = {2015 25th International Conference on Field Programmable Logic and Applications (FPL)},
  publisher = {IEEE},
  year = {2015},
  pages = {1--6},
  groups = {sherwin},
  doi = {10.1109/fpl.2015.7293749}
}

K. Y. Chooi, A. Comerford, S. Sherwin and P. Weinberg

190 Smooth Muscle Tone-Dependent Hydraulic Conductance of Aortic Media to Water Filtration

in Basic Science, 2015, pp. A106–A107. doi 10.1136/heartjnl-2015-308066.190

BiBTeX

@inproceedings{2015:chooi.comerford.ea:190,
  author = {Chooi, Kok Yean and Comerford, Andrew and Sherwin, Spencer and Weinberg, Peter},
  title = {190 Smooth Muscle Tone-Dependent Hydraulic Conductance of Aortic Media to Water Filtration},
  booktitle = {Basic Science},
  publisher = {BMJ Publishing Group Ltd and British Cardiovascular Society},
  year = {2015},
  pages = {A106--A107},
  groups = {sherwin},
  doi = {10.1136/heartjnl-2015-308066.190}
}

J. Cohen, C. Cantwell, D. Moxey, J. Nowell, P. Austing, X. Guo, J. Darlington and S. Sherwin

TemPSS: A Service Providing Software Parameter Templates and Profiles for Scientific HPC

in 2015 IEEE 11th International Conference on e-Science, 2015, pp. 78–87. doi 10.1109/escience.2015.43

BiBTeX

@inproceedings{2015:cohen.cantwell.ea:tempss,
  author = {Cohen, Jeremy and Cantwell, Chris and Moxey, David and Nowell, Jeremy and Austing, Peter and Guo, Xu and Darlington, John and Sherwin, Spencer},
  title = {TemPSS: A Service Providing Software Parameter Templates and Profiles for Scientific HPC},
  booktitle = {2015 IEEE 11th International Conference on e-Science},
  publisher = {IEEE},
  year = {2015},
  pages = {78--87},
  groups = {sherwin},
  doi = {10.1109/escience.2015.43}
}

J. Cohen, D. Moxey, C. Cantwell, P. Austing, J. Darlington and S. Sherwin

Ensuring an Effective User Experience When Managing and Running Scientific HPC Software

in 2015 IEEE/ACM 1st International Workshop on Software Engineering for High Performance Computing in Science, 2015, pp. 56–59. doi 10.1109/se4hpcs.2015.16

BiBTeX

@inproceedings{2015:cohen.moxey.ea:ensuring,
  author = {Cohen, Jeremy and Moxey, David and Cantwell, Chris and Austing, Peter and Darlington, John and Sherwin, Spencer},
  title = {Ensuring an Effective User Experience When Managing and Running Scientific HPC Software},
  booktitle = {2015 IEEE/ACM 1st International Workshop on Software Engineering for High Performance Computing in Science},
  publisher = {IEEE},
  year = {2015},
  pages = {56--59},
  groups = {sherwin},
  doi = {10.1109/se4hpcs.2015.16}
}

D. Moxey, Y. Feldman, P. Perdikaris, J. Insley, A. Yakhot, S. Sherwin and G. Karniadakis

Proper orthogonal decomposition analysis of a puff in a pipe

in 9th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2015, 2015.

BiBTeX

@inproceedings{2015:moxey.feldman.ea:propera,
  author = {Moxey, D. and Feldman, Y. and Perdikaris, P. and Insley, J. and Yakhot, A. and Sherwin, S. and Karniadakis, G.},
  title = {Proper orthogonal decomposition analysis of a puff in a pipe},
  journal = {9th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2015},
  year = {2015},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-85034441682&partnerID=MN8TOARS}
}

K. N. Tzortzis, C. H. Roney, N. A. Qureshi, F. S. Ng, P. B. Lim, S. J. Sherwin, N. S. Peters and C. D. Cantwell

Influence of left atrial geometry on rotor core trajectories in a model of atrial fibrillation

in 2015 Computing in Cardiology Conference (CinC), 2015, pp. 481–484. doi 10.1109/cic.2015.7408691

BiBTeX

@inproceedings{2015:tzortzis.roney.ea:influence,
  author = {Tzortzis, Konstantinos N and Roney, Caroline H and Qureshi, Norman A and Ng, Fu Siong and Lim, Phang Boon and Sherwin, Spencer J and Peters, Nicholas S and Cantwell, Chris D},
  title = {Influence of left atrial geometry on rotor core trajectories in a model of atrial fibrillation},
  booktitle = {2015 Computing in Cardiology Conference (CinC)},
  publisher = {IEEE},
  year = {2015},
  pages = {481--484},
  groups = {sherwin},
  doi = {10.1109/cic.2015.7408691}
}

H. Xu and S. J. Sherwin

On a mechanism of delaying laminar-turbulent transition

in Proceedings 15th European Turbulence Conference etc 2015, 2015.

BiBTeX

@inproceedings{2015:xu.sherwin:mechanism,
  author = {Xu, H and Sherwin, S J},
  title = {On a mechanism of delaying laminar-turbulent transition},
  journal = {Proceedings 15th European Turbulence Conference etc 2015},
  year = {2015},
  groups = {sherwin}
}

2014

R. L. Ali, C. D. Cantwell, C. H. Roney, N. A. Qureshi, P. B. Lim, J. H. Siggers, S. J. Sherwin and N. S. Peters

A novel method for quantifying localised correlation of late-gadolinium intensity with conduction velocity

in Computing in Cardiology, 2014.

BiBTeX

@inproceedings{2014:ali.cantwell.ea:novel,
  author = {Ali, R.L. and Cantwell, C.D. and Roney, C.H. and Qureshi, N.A. and Lim, P.B. and Siggers, J.H. and Sherwin, S.J. and Peters, N.S.},
  title = {A novel method for quantifying localised correlation of late-gadolinium intensity with conduction velocity},
  journal = {Computing in Cardiology},
  year = {2014},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-84931382650&partnerID=MN8TOARS}
}

P. Burovskiy, S. Girdlestone, C. Davies, S. Sherwin and W. Luk

Dataflow acceleration of Krylov subspace sparse banded problems

in 2014 24th International Conference on Field Programmable Logic and Applications (FPL), 2014, pp. 1–6. doi 10.1109/fpl.2014.6927453

BiBTeX

@inproceedings{2014:burovskiy.girdlestone.ea:dataflow,
  author = {Burovskiy, Pavel and Girdlestone, Stephen and Davies, Craig and Sherwin, Spencer and Luk, Wayne},
  title = {Dataflow acceleration of Krylov subspace sparse banded problems},
  booktitle = {2014 24th International Conference on Field Programmable Logic and Applications (FPL)},
  publisher = {IEEE},
  year = {2014},
  pages = {1--6},
  groups = {sherwin},
  doi = {10.1109/fpl.2014.6927453}
}

S. A. Loh, H. M. Blackburn and S. J. Sherwin

Transient growth in an airfoil separation bubble

in Proceedings of the 19th Australasian Fluid Mechanics Conference, AFMC 2014, 2014.

BiBTeX

@inproceedings{2014:loh.blackburn.ea:transienta,
  author = {Loh, S.A. and Blackburn, H.M. and Sherwin, S.J.},
  title = {Transient growth in an airfoil separation bubble},
  journal = {Proceedings of the 19th Australasian Fluid Mechanics Conference, AFMC 2014},
  year = {2014},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-84959146933&partnerID=MN8TOARS}
}

G. Mengaldo, D. De Grazia, J. Peiro, A. Farrington, F. Witherden, P. E. Vincent and S. J. Sherwin
A guide to the implementation of boundary conditions in compact high-order methods for compressible aerodynamics
in AIAA AVIATION 2014 -7th AIAA Theoretical Fluid Mechanics Conference, 2014. doi 10.2514/6.2014-2923
BiBTeX Abstract
```
@inproceedings{2014:mengaldo.de-grazia.ea:guide,
  author = {Mengaldo, G. and De Grazia, D. and Peiro, J. and Farrington, A. and Witherden, F. and Vincent, P. E. and Sherwin, S. J.},
  title = {A guide to the implementation of boundary conditions in compact high-order methods for compressible aerodynamics},
  booktitle = {AIAA AVIATION 2014 -7th AIAA Theoretical Fluid Mechanics Conference},
  year = {2014},
  month = jan,
  doi = {10.2514/6.2014-2923},
  isbn = {9781624102936},
  day = {1},
  publicationstatus = {published},
  groups = {core}
}
```
The nature of boundary conditions, and how they are implemented, can have a significant impact on the stability and accuracy of a Computational Fluid Dynamics (CFD) solver. The objective of this paper is to assess how different boundary conditions impact the performance of compact discontinuous high-order spectral element methods (such as the discontinuous Galerkin method and the Flux Reconstruction approach), when these schemes are used to solve the Euler and compressible Navier-Stokes equations on unstructured grids. Specifically, the paper will investigate inflow/outflow and wall boundary conditions. In all studies the boundary conditions were enforced by modifying the boundary flux. For Riemann invariant (characteristic), slip and no-slip conditions we have considered a direct and an indirect enforcement of the boundary conditions, the first obtained by calculating the flux using the known solution at the given boundary while the second achieved by using a ghost state and by solving a Riemann problem. All computations were performed using the open-source software Nektar++ (www.nektar.info).

D. Moxey, D. Ekelschot, U. Keskin, S. J. Sherwin and J. Peiro

A thermo-elastic analogy for high-order curvilinear meshing with control of mesh validity and quality

in 23RD INTERNATIONAL MESHING ROUNDTABLE (IMR23), 2014, 82, pp. 127–135. doi 10.1016/j.proeng.2014.10.378

BiBTeX

@inproceedings{2014:moxey.ekelschot.ea:thermo-elastic,
  author = {Moxey, D. and Ekelschot, D. and Keskin, U. and Sherwin, S. J. and Peiro, J.},
  title = {A thermo-elastic analogy for high-order curvilinear meshing with control of mesh validity and quality},
  editor = {Persson, P. O. and Staten, M. L.},
  booktitle = {23RD INTERNATIONAL MESHING ROUNDTABLE (IMR23)},
  year = {2014},
  series = {Procedia Engineering},
  volume = {82},
  pages = {127--135},
  month = jan,
  organization = {London, ENGLAND},
  publisher = {ELSEVIER SCIENCE BV},
  doi = {10.1016/j.proeng.2014.10.378},
  startyear = {2014},
  startmonth = {Oct},
  startday = {12},
  finishyear = {2014},
  finishmonth = {Oct},
  finishday = {15},
  issn = {1877-7058},
  keyword = {Engineering},
  language = {English},
  conference = {23rd International Meshing Roundtable (IMR)},
  day = {1},
  publicationstatus = {published},
  groups = {core}
}

C. H. Roney, C. D. Cantwell, N. A. Qureshi, R. L. Ali, E. T. Y. Chang, P. B. Lim, S. J. Sherwin, N. S. Peters, J. H. Siggers and F. S. Ng

An automated algorithm for determining conduction velocity, wavefront direction and origin of focal cardiac arrhythmias using a multipolar catheter

in 2014 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2014, pp. 1583–1586. doi 10.1109/embc.2014.6943906

BiBTeX

@inproceedings{2014:roney.cantwell.ea:automated,
  author = {Roney, Caroline H. and Cantwell, Chris D. and Qureshi, Norman A. and Ali, Rheeda L. and Chang, Eugene T. Y. and Lim, Phang Boon and Sherwin, Spencer J. and Peters, Nicholas S. and Siggers, Jennifer H. and Ng, Fu Siong},
  title = {An automated algorithm for determining conduction velocity, wavefront direction and origin of focal cardiac arrhythmias using a multipolar catheter},
  booktitle = {2014 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society},
  publisher = {IEEE},
  year = {2014},
  pages = {1583--1586},
  groups = {sherwin},
  doi = {10.1109/embc.2014.6943906}
}

H. Xu, S. Sherwin and P. Hall

Transmission coefficient of Tollmien-Schlichting waves undergoing small indentation/hump distortion

in 29th Congress of the International Council of the Aeronautical Sciences, ICAS 2014, 2014.

BiBTeX

@inproceedings{2014:xu.sherwin.ea:transmission,
  author = {Xu, H. and Sherwin, S. and Hall, P.},
  title = {Transmission coefficient of Tollmien-Schlichting waves undergoing small indentation/hump distortion},
  journal = {29th Congress of the International Council of the Aeronautical Sciences, ICAS 2014},
  year = {2014},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-84910602548&partnerID=MN8TOARS}
}

2013

J. Cohen, D. Moxey, C. Cantwell, P. Burovskiy, J. Darlington and S. J. Sherwin

Nekkloud: A software environment for high-order finite element analysis on clusters and clouds

in 2013 IEEE International Conference on Cluster Computing (CLUSTER), 2013, pp. 1–5. doi 10.1109/cluster.2013.6702616

BiBTeX

@inproceedings{2013:cohen.moxey.ea:nekkloud,
  author = {Cohen, Jeremy and Moxey, David and Cantwell, Chris and Burovskiy, Pavel and Darlington, John and Sherwin, Spencer J.},
  title = {Nekkloud: A software environment for high-order finite element analysis on clusters and clouds},
  booktitle = {2013 IEEE International Conference on Cluster Computing (CLUSTER)},
  publisher = {IEEE},
  year = {2013},
  pages = {1--5},
  groups = {sherwin},
  doi = {10.1109/cluster.2013.6702616}
}

D. Ekelschot, C. Biotto, J. Peiro, S. Sherwin and D. Moxey

P-adaption for compressible flows

in Adaptive Modeling and Simulation 2013 - Proceedings of the 6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013, 2013.

BiBTeX

@inproceedings{2013:ekelschot.biotto.ea:padaptiona,
  author = {Ekelschot, D. and Biotto, C. and Peiro, J. and Sherwin, S. and Moxey, D.},
  title = {P-adaption for compressible flows},
  journal = {Adaptive Modeling and Simulation 2013 - Proceedings of the 6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013},
  year = {2013},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-84891313331&partnerID=MN8TOARS}
}

N. A. Fogell, S. Sherwin, C. J. Cotter, L. Iannucci, R. Palacios and D. J. Pope

Fluid-Structure Interaction Simulation of the Inflated Shape of Ram-Air Parachutes

in AIAA Aerodynamic Decelerator Systems (ADS) Conference, 2013. doi 10.2514/6.2013-1326

BiBTeX

@inproceedings{2013:fogell.sherwin.ea:fluidstructure,
  author = {Fogell, Nicholas A. and Sherwin, Spencer and Cotter, Colin J. and Iannucci, L. and Palacios, Rafael and Pope, Dan J.},
  title = {Fluid-Structure Interaction Simulation of the Inflated Shape of Ram-Air Parachutes},
  booktitle = {AIAA Aerodynamic Decelerator Systems (ADS) Conference},
  publisher = {American Institute of Aeronautics and Astronautics},
  year = {2013},
  groups = {sherwin},
  doi = {10.2514/6.2013-1326}
}

2012

J. Alastruey, K. H. Parker and S. J. Sherwin
Arterial pulse wave haemodynamics
in BHR Group - 11th International Conferences on Pressure Surges, 2012, pp. 401–442.
BiBTeX Abstract
```
@inproceedings{2012:alastruey.parker.ea:arterial,
  author = {Alastruey, J. and Parker, K. H. and Sherwin, S. J.},
  title = {Arterial pulse wave haemodynamics},
  booktitle = {BHR Group - 11th International Conferences on Pressure Surges},
  year = {2012},
  pages = {401--442},
  month = dec,
  url = {https://kclpure.kcl.ac.uk/portal/en/publications/arterial-pulse-wave-haemodynamics},
  isbn = {9781855981331},
  day = {1},
  publicationstatus = {published},
  groups = {app}
}
```
The shape of the arterial pulse wave is intimately related to the physical properties of the cardiovascular system. Understanding the mechanisms underlying this relation is clinically relevant, since pulse waveforms carry valuable information for the diagnosis and treatment of disease. We overview some numerical, theoretical and experimental efforts (using in vivo and in vitro data) made in this field of research, focusing on the physical aspects of arterial pulse wave propagation in the systemic circulation. The mathematical and numerical tools that we describe are based on the one-dimensional formulation in the time-domain.

A. De Luca, C. M. Warboys, N. Amini, P. Ferreira, P. Gatehouse, D. Firmin, J. Mason, S. Sherwin and P. C. Evans

Image-Based Computational Hemodynamics and Microarray Analysis of the Porcine Aortic Arch Reveals a Correlation Between Shear Stress and Endothelial Cell Apoptosis

in ASME 2012 Summer Bioengineering Conference, Parts A and B, 2012, pp. 923–924. doi 10.1115/sbc2012-80948

BiBTeX

@inproceedings{2012:deluca.warboys.ea:imagebased,
  author = {De Luca, Amalia and Warboys, Christina M. and Amini, Narges and Ferreira, Pedro and Gatehouse, Peter and Firmin, David and Mason, Justin and Sherwin, Spencer and Evans, Paul C.},
  title = {Image-Based Computational Hemodynamics and Microarray Analysis of the Porcine Aortic Arch Reveals a Correlation Between Shear Stress and Endothelial Cell Apoptosis},
  booktitle = {ASME 2012 Summer Bioengineering Conference, Parts A and B},
  publisher = {American Society of Mechanical Engineers},
  year = {2012},
  pages = {923--924},
  groups = {sherwin},
  doi = {10.1115/sbc2012-80948}
}

V. Peiffer, E. M. Rowland, S. G. Cremers, P. D. Weinberg and S. J. Sherwin

Age-Related Differences in Haemodynamics of the Rabbit Aorta and Comparison With Average Maps of Atherosclerotic Lesion Prevalence

in ASME 2012 Summer Bioengineering Conference, Parts A and B, 2012, pp. 495–496. doi 10.1115/sbc2012-80310

BiBTeX

@inproceedings{2012:peiffer.rowland.ea:agerelated,
  author = {Peiffer, Véronique and Rowland, Ethan M. and Cremers, Stephanie G. and Weinberg, Peter D. and Sherwin, Spencer J.},
  title = {Age-Related Differences in Haemodynamics of the Rabbit Aorta and Comparison With Average Maps of Atherosclerotic Lesion Prevalence},
  booktitle = {ASME 2012 Summer Bioengineering Conference, Parts A and B},
  publisher = {American Society of Mechanical Engineers},
  year = {2012},
  pages = {495--496},
  groups = {sherwin},
  doi = {10.1115/sbc2012-80310}
}

V. Peiffer and S. J. Sherwin

CFD Challenge: Solutions Using an In-House Spectral Element Solver, NEKTAR

in ASME 2012 Summer Bioengineering Conference, Parts A and B, 2012, pp. 145–146. doi 10.1115/sbc2012-80686

BiBTeX

@inproceedings{2012:peiffer.sherwin:cfd,
  author = {Peiffer, Véronique and Sherwin, Spencer J.},
  title = {CFD Challenge: Solutions Using an In-House Spectral Element Solver, NEKTAR},
  booktitle = {ASME 2012 Summer Bioengineering Conference, Parts A and B},
  publisher = {American Society of Mechanical Engineers},
  year = {2012},
  pages = {145--146},
  groups = {sherwin},
  doi = {10.1115/sbc2012-80686}
}

V. Peiffer, P. D. Weinberg and S. J. Sherwin

The Wall Shear Stress Vector: Methods for Characterising Truly Disturbed Flow

in ASME 2012 Summer Bioengineering Conference, Parts A and B, 2012, pp. 21–22. doi 10.1115/sbc2012-80680

BiBTeX

@inproceedings{2012:peiffer.weinberg.ea:wall,
  author = {Peiffer, Véronique and Weinberg, Peter D. and Sherwin, Spencer J.},
  title = {The Wall Shear Stress Vector: Methods for Characterising Truly Disturbed Flow},
  booktitle = {ASME 2012 Summer Bioengineering Conference, Parts A and B},
  publisher = {American Society of Mechanical Engineers},
  year = {2012},
  pages = {21--22},
  groups = {sherwin},
  doi = {10.1115/sbc2012-80680}
}

2011

V. Peiffer, M. Rowland, P. D. Weinberg and S. J. Sherwin

Database of Rabbit Aortic Geometries for Use in Computational Flow Studies

in ASME 2011 Summer Bioengineering Conference, Parts A and B, 2011, pp. 19–20. doi 10.1115/sbc2011-53469

BiBTeX

@inproceedings{2011:peiffer.rowland.ea:database,
  author = {Peiffer, V. and Rowland, M. and Weinberg, P. D. and Sherwin, S. J.},
  title = {Database of Rabbit Aortic Geometries for Use in Computational Flow Studies},
  booktitle = {ASME 2011 Summer Bioengineering Conference, Parts A and B},
  publisher = {American Society of Mechanical Engineers},
  year = {2011},
  pages = {19--20},
  groups = {sherwin},
  doi = {10.1115/sbc2011-53469}
}

Y. Zhang, T. Zaki, S. Sherwin and X. Wu

Nonlinear Response of a Laminar Boundary Layer to Isotropic and Spanwise Localized Free-stream Turbulence

in 6th AIAA Theoretical Fluid Mechanics Conference, 2011. doi 10.2514/6.2011-3292

BiBTeX

@inproceedings{2011:zhang.zaki.ea:nonlinear,
  author = {Zhang, Yongming and Zaki, Tamer and Sherwin, Spencer and Wu, Xuesong},
  title = {Nonlinear Response of a Laminar Boundary Layer to Isotropic and Spanwise Localized Free-stream Turbulence},
  booktitle = {6th AIAA Theoretical Fluid Mechanics Conference},
  publisher = {American Institute of Aeronautics and Astronautics},
  year = {2011},
  groups = {sherwin},
  doi = {10.2514/6.2011-3292}
}

2010

F. Clavica, J. Alastruey, A. Borlotti, S. J. Sherwin and A. W. Khir

One-dimensional computational model of pulse wave propagation in the human bronchial tree

in 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology, 2010, pp. 2473–2476. doi 10.1109/iembs.2010.5626559

BiBTeX

@inproceedings{2010:clavica.alastruey.ea:onedimensional,
  author = {Clavica, F and Alastruey, J and Borlotti, A and Sherwin, S J and Khir, A W},
  title = {One-dimensional computational model of pulse wave propagation in the human bronchial tree},
  booktitle = {2010 Annual International Conference of the IEEE Engineering in Medicine and Biology},
  publisher = {IEEE},
  year = {2010},
  pages = {2473--2476},
  groups = {sherwin},
  doi = {10.1109/iembs.2010.5626559}
}

2009

F. Clavica, J. Alastruey, S. J. Sherwin and A. W. Khir

One-dimensional modelling of pulse wave propagation in human airway bifurcations in space–time variables

in 2009 Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2009, pp. 5482–5485. doi 10.1109/iembs.2009.5334564

BiBTeX

@inproceedings{2009:clavica.alastruey.ea:onedimensional,
  author = {Clavica, F. and Alastruey, J. and Sherwin, S.J. and Khir, A.W.},
  title = {One-dimensional modelling of pulse wave propagation in human airway bifurcations in space–time variables},
  booktitle = {2009 Annual International Conference of the IEEE Engineering in Medicine and Biology Society},
  publisher = {IEEE},
  year = {2009},
  pages = {5482--5485},
  groups = {sherwin},
  doi = {10.1109/iembs.2009.5334564}
}

P. E. Vincent, A. A. E. Hunt, L. Grinberg, S. J. Sherwin and P. D. Weinberg

A Realistic Representation of the Rabbit Aorta for Use in Computational Haemodynamic Studies

in ASME 2009 Summer Bioengineering Conference, Parts A and B, 2009, pp. 985–986. doi 10.1115/sbc2009-205428

BiBTeX

@inproceedings{2009:vincent.hunt.ea:realistic,
  author = {Vincent, Peter E. and Hunt, Anthony A. E. and Grinberg, Leopold and Sherwin, Spencer J. and Weinberg, Peter D.},
  title = {A Realistic Representation of the Rabbit Aorta for Use in Computational Haemodynamic Studies},
  booktitle = {ASME 2009 Summer Bioengineering Conference, Parts A and B},
  publisher = {American Society of Mechanical Engineers},
  year = {2009},
  pages = {985--986},
  groups = {sherwin},
  doi = {10.1115/sbc2009-205428}
}

2008

M. S. Broadhurst, S. J. Sherwin, L. L. Bonilla, M. Moscoso, G. Platero and J. M. Vega

Helical instability and breakdown of a batchelor trailing vortex

in PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2006, 2008.

BiBTeX

@inproceedings{2008:broadhurst.sherwin.ea:helical,
  author = {Broadhurst, Michael S and Sherwin, Spencer J and Bonilla, L L and Moscoso, M and Platero, G and Vega, J M},
  title = {Helical instability and breakdown of a batchelor trailing vortex},
  journal = {PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2006},
  year = {2008},
  groups = {sherwin}
}

B. Carmo, S. Sherwin, P. Bearman, R. Willden, I. Zolotarev and J. Horacek

NUMERICAL SIMULATION OF THE FLOW-INDUCED VIBRATION IN THE FLOW AROUND TWO CIRCULAR CYLINDERS IN TANDEM ARRANGEMENTS

in FLOW-INDUCED VIBRATION, 2008.

BiBTeX

@inproceedings{2008:carmo.sherwin.ea:numerical,
  author = {Carmo, Bruno and Sherwin, Spencer and Bearman, Peter and Willden, Richard and Zolotarev, I and Horacek, J},
  title = {NUMERICAL SIMULATION OF THE FLOW-INDUCED VIBRATION IN THE FLOW AROUND TWO CIRCULAR CYLINDERS IN TANDEM ARRANGEMENTS},
  journal = {FLOW-INDUCED VIBRATION},
  year = {2008},
  groups = {sherwin}
}

A. de Vecchi, S. J. Sherwin, J. M. R. Graham, I. Zolotarev and J. Horacek

FLOW PAST A CURVED PIPE IN DIFFERENT IN-LINE CONFIGURATIONS UNDERGOING FORCED TRANSVERSE OSCILLATIONS

in FLOW-INDUCED VIBRATION, 2008.

BiBTeX

@inproceedings{2008:vecchi.sherwin.ea:flow,
  author = {Vecchi, A de and Sherwin, S J and Graham, J M R and Zolotarev, I and Horacek, J},
  title = {FLOW PAST A CURVED PIPE IN DIFFERENT IN-LINE CONFIGURATIONS UNDERGOING FORCED TRANSVERSE OSCILLATIONS},
  journal = {FLOW-INDUCED VIBRATION},
  year = {2008},
  groups = {sherwin}
}

2007

A. Kazakidi, S. J. Sherwin and P. D. Weinberg

Reverse flow in arterial branches influences wall shear stress patterns around branch ostia

in Heart, 2007.

BiBTeX

@inproceedings{2007:kazakidi.sherwin.ea:reverse,
  author = {Kazakidi, A and Sherwin, S J and Weinberg, P D},
  title = {Reverse flow in arterial branches influences wall shear stress patterns around branch ostia},
  journal = {Heart},
  year = {2007},
  groups = {sherwin}
}

P. E. Vincent, S. J. Sherwin and P. D. Weinberg

Computational investigation of a mechanism by which blood flow could control lipoprotein uptake by the arterial

in Heart, 2007.

BiBTeX

@inproceedings{2007:vincent.sherwin.ea:computational,
  author = {Vincent, P E and Sherwin, S J and Weinberg, P D},
  title = {Computational investigation of a mechanism by which blood flow could control lipoprotein uptake by the arterial},
  journal = {Heart},
  year = {2007},
  groups = {sherwin}
}

2006

N. Abdessemed, S. Sherwin and V. Theofilis

Linear Stability of the flow past a low pressure turbine blade

in 36th AIAA Fluid Dynamics Conference and Exhibit, 2006. doi 10.2514/6.2006-3530

BiBTeX

@inproceedings{2006:abdessemed.sherwin.ea:linear,
  author = {Abdessemed, Nadir and Sherwin, Spencer and Theofilis, Vassilis},
  title = {Linear Stability of the flow past a low pressure turbine blade},
  booktitle = {36th AIAA Fluid Dynamics Conference and Exhibit},
  publisher = {American Institute of Aeronautics and Astronautics},
  year = {2006},
  groups = {sherwin},
  doi = {10.2514/6.2006-3530}
}

2005

J. Alastruey, K. H. Parker, J. Peiró and S. J. Sherwin

A one-dimensional simulation of the human conduit arteries compared to experimental data

in Proceedings of the 2005 Summer Bioengineering Conference, 2005.

BiBTeX

@inproceedings{2005:alastruey.parker.ea:onedimensional,
  author = {Alastruey, J. and Parker, K.H. and Peiró, J. and Sherwin, S.J.},
  title = {A one-dimensional simulation of the human conduit arteries compared to experimental data},
  journal = {Proceedings of the 2005 Summer Bioengineering Conference},
  year = {2005},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-33646589960&partnerID=MN8TOARS}
}

A. M. Gambaruto, A. Radaelli, D. J. Doorly, S. J. Sherwin and J. Peiro

Sensitivity study on by-pass graft reconstruction with emphasis on flow solutions

in Proceedings of the 2005 Summer Bioengineering Conference, 2005.

BiBTeX

@inproceedings{2005:gambaruto.radaelli.ea:sensitivitya,
  author = {Gambaruto, A.M. and Radaelli, A. and Doorly, D.J. and Sherwin, S.J. and Peiro, J.},
  title = {Sensitivity study on by-pass graft reconstruction with emphasis on flow solutions},
  journal = {Proceedings of the 2005 Summer Bioengineering Conference},
  year = {2005},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-33646561210&partnerID=MN8TOARS}
}

2004

N. Abdessemed, S. Sherwin and V. Theofilis

On Unstable 2D Basic States in Low Pressure Turbine Flows at Moderate Reynolds Numbers

in 34th AIAA Fluid Dynamics Conference and Exhibit, 2004. doi 10.2514/6.2004-2541

BiBTeX

@inproceedings{2004:abdessemed.sherwin.ea:unstablea,
  author = {Abdessemed, Nadir and Sherwin, Spencer and Theofilis, Vassilios},
  title = {On Unstable 2D Basic States in Low Pressure Turbine Flows at Moderate Reynolds Numbers},
  booktitle = {34th AIAA Fluid Dynamics Conference and Exhibit},
  publisher = {American Institute of Aeronautics and Astronautics},
  year = {2004},
  groups = {sherwin},
  doi = {10.2514/6.2004-2541}
}

J. Alastruey, K. H. Parker, J. Peiro and S. J. Sherwin

Wave analysis of flow in the palmar arch

2004.

BiBTeX

@inproceedings{2004:alastruey.parker.ea:wave,
  author = {Alastruey, J and Parker, K H and Peiro, J and Sherwin, S J},
  title = {Wave analysis of flow in the palmar arch},
  year = {2004},
  groups = {sherwin}
}

S. Giordana, A. Radaelli, J. Peiro, S. J. Sherwin and D. J. Doorly

Geometry reconstruction and CFD modeling of arterial flows

2004.

BiBTeX

@inproceedings{2004:giordana.radaelli.ea:geometry,
  author = {Giordana, S. and Radaelli, A. and Peiro, J. and Sherwin, S.J. and Doorly, D.J.},
  title = {Geometry reconstruction and CFD modeling of arterial flows},
  year = {2004},
  groups = {sherwin}
}

B. J. McKeon, S. Lambert, S. J. Sherwin, J. F. Morrison, H. I. Andersson and P. A. Krogstad

Active dimples for flow control

2004.

BiBTeX

@inproceedings{2004:mckeon.lambert.ea:active,
  author = {McKeon, B.J. and Lambert, S. and Sherwin, S.J. and Morrison, J.F. and Andersson, H I and Krogstad, P A},
  title = {Active dimples for flow control},
  year = {2004},
  groups = {sherwin}
}

B. J. McKeon, S. Lambert, S. J. Sherwin, J. F. Morrison and J. Delville

Active flow control by vorticity flux from a dimpled surface

2004.

BiBTeX

@inproceedings{2004:mckeon.lambert.ea:activea,
  author = {McKeon, B.J. and Lambert, S. and Sherwin, S.J. and Morrison, J.F. and Delville, J},
  title = {Active flow control by vorticity flux from a dimpled surface},
  year = {2004},
  groups = {sherwin}
}

S. Varghese, S. Frankel, R. Pitt and S. J. Sherwin

Numerical simulation of pulsatile flow through stenotic vessels

2004.

BiBTeX

@inproceedings{2004:varghese.frankel.ea:numerical,
  author = {Varghese, S. and Frankel, S. and Pitt, R. and Sherwin, S.J.},
  title = {Numerical simulation of pulsatile flow through stenotic vessels},
  year = {2004},
  groups = {sherwin}
}

2003

C. Eskilsson, S. J. Sherwin and L. Bergdahl

Unstructured spectral/hp element methods for shallow water flows

2003.

BiBTeX

@inproceedings{2003:eskilsson.sherwin.ea:unstructured,
  author = {Eskilsson, C. and Sherwin, S.J. and Bergdahl, L.},
  title = {Unstructured spectral/hp element methods for shallow water flows},
  year = {2003},
  groups = {sherwin}
}

C. Eskilsson, S. J. Sherwin, L. Bergdahl, G. C. Cohen, E. Heikkola, P. Joly and P. Neittaanmaki

Shallow water wave modelling using a high-order discontinuous Galerkin method

2003.

BiBTeX

@inproceedings{2003:eskilsson.sherwin.ea:shallow,
  author = {Eskilsson, C. and Sherwin, S.J. and Bergdahl, L. and Cohen, G C and Heikkola, E and Joly, P and Neittaanmaki, P},
  title = {Shallow water wave modelling using a high-order discontinuous Galerkin method},
  year = {2003},
  groups = {sherwin}
}

Y. P. Ng, S. Sherwin and G. Yang

Vector field restoration for MR phase contrast velocity mapping

2003.

BiBTeX

@inproceedings{2003:ng.sherwin.ea:vector,
  author = {Ng, Y.P. and Sherwin, S. and Yang, G.},
  title = {Vector field restoration for MR phase contrast velocity mapping},
  year = {2003},
  groups = {sherwin}
}

R. Pitt, S. J. Sherwin and V. Theofilis

Biglobal stability analysis of stenotic flow

2003.

BiBTeX

@inproceedings{2003:pitt.sherwin.ea:biglobal,
  author = {Pitt, R. and Sherwin, S.J. and Theofilis, V.},
  title = {Biglobal stability analysis of stenotic flow},
  year = {2003},
  groups = {sherwin}
}

S. J. Sherwin and H. M. Blackburn

BiGlobal instabilities of steady and pulsatile flow in a 75% axisymmetric stenotic tube

2003.

BiBTeX

@inproceedings{2003:sherwin.blackburn:biglobal,
  author = {Sherwin, S.J. and Blackburn, H.M.},
  title = {BiGlobal instabilities of steady and pulsatile flow in a 75% axisymmetric stenotic tube},
  year = {2003},
  groups = {sherwin}
}

2002

S. H. Frankel, S. J. Sherwin and S. S. Varghese

Numerical simulation of pulsatile flow through stenotic vessels of different local morphologies

in Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings, 2002.

BiBTeX

@inproceedings{2002:frankel.sherwin.ea:numerical,
  author = {Frankel, S.H. and Sherwin, S.J. and Varghese, S.S.},
  title = {Numerical simulation of pulsatile flow through stenotic vessels of different local morphologies},
  journal = {Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings},
  year = {2002},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-0036911223&partnerID=MN8TOARS}
}

A. Miliou, S. J. Sherwin and J. M. R. Graham

Three-Dimensional Wakes of Curved Pipes

in 21st International Conference on Offshore Mechanics and Arctic Engineering, Volume 1, 2002, pp. 559–571. doi 10.1115/omae2002-28308

BiBTeX

@inproceedings{2002:miliou.sherwin.ea:threedimensional,
  author = {Miliou, Anthi and Sherwin, Spencer J. and Graham, J. Michael R.},
  title = {Three-Dimensional Wakes of Curved Pipes},
  booktitle = {21st International Conference on Offshore Mechanics and Arctic Engineering, Volume 1},
  publisher = {ASMEDC},
  year = {2002},
  pages = {559--571},
  groups = {sherwin},
  doi = {10.1115/omae2002-28308}
}

J. Peiro and S. J. Sherwin

High-order mesh generation

2002.

BiBTeX

@inproceedings{2002:peiro.sherwin:highorder,
  author = {Peiro, J. and Sherwin, S.J.},
  title = {High-order mesh generation},
  year = {2002},
  groups = {sherwin}
}

I. Robertson, M. Graham, S. Sherwin and T. Kendon

Computation of viscous separated flow around a body in waves

2002.

BiBTeX

@inproceedings{2002:robertson.graham.ea:computation,
  author = {Robertson, I. and Graham, M. and Sherwin, S. and Kendon, T.},
  title = {Computation of viscous separated flow around a body in waves},
  year = {2002},
  groups = {sherwin}
}

I. Robertson, S. Sherwin, P. Bearman and L. Li

Prediction of rotational galloping of rectangular and semi-circular leading edge sections

2002.

BiBTeX

@inproceedings{2002:robertson.sherwin.ea:prediction,
  author = {Robertson, I. and Sherwin, S. and Bearman, P. and Li, L.},
  title = {Prediction of rotational galloping of rectangular and semi-circular leading edge sections},
  year = {2002},
  groups = {sherwin}
}

2001

S. Giordana, C. Griffith, J. Peiro, S. J. Sherwin and D. Doorly

Geometry reconstruction and mesh generation using variational implicit surfaces

2001.

BiBTeX

@inproceedings{2001:giordana.griffith.ea:geometry,
  author = {Giordana, S. and Griffith, C. and Peiro, J. and Sherwin, S.J. and Doorly, D.},
  title = {Geometry reconstruction and mesh generation using variational implicit surfaces},
  year = {2001},
  groups = {sherwin}
}

A. Miliou, S. J. Sherwin and J. M. R. Graham

Fluid dynamic loading on curved riser pipes

in Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE, 2001.

BiBTeX

@inproceedings{2001:miliou.sherwin.ea:fluida,
  author = {Miliou, A. and Sherwin, S.J. and Graham, J.M.R.},
  title = {Fluid dynamic loading on curved riser pipes},
  journal = {Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE},
  year = {2001},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-0345603604&partnerID=MN8TOARS}
}

Y. Papaharilaou, D. J. Doorly, S. J. Sherwin, J. Peiro, J. Anderson, B. Sanghera, N. Watkins and C. G. Caro

Combined MRI and computational fluid dynamics detailed investigation of flow in a realistic coronary artery bypass graft model

2001.

BiBTeX

@inproceedings{2001:papaharilaou.doorly.ea:combined,
  author = {Papaharilaou, Y. and Doorly, D.J. and Sherwin, S.J. and Peiro, J. and Anderson, J. and Sanghera, B. and Watkins, N. and Caro, C.G.},
  title = {Combined MRI and computational fluid dynamics detailed investigation of flow in a realistic coronary artery bypass graft model},
  year = {2001},
  groups = {sherwin}
}

I. Robertson, S. J. Sherwin and P. W. Bearman

Prediction of flutter instability due to cross winds of the second Forth road bridge

2001.

BiBTeX

@inproceedings{2001:robertson.sherwin.ea:prediction,
  author = {Robertson, I. and Sherwin, S.J. and Bearman, P.W.},
  title = {Prediction of flutter instability due to cross winds of the second Forth road bridge},
  year = {2001},
  groups = {sherwin}
}

S. J. Sherwin, L. Formaggia and J. Peiro

Computational modelling of 1D blood flow with variable mechanical properties

2001.

BiBTeX

@inproceedings{2001:sherwin.formaggia.ea:computational,
  author = {Sherwin, S.J. and Formaggia, L. and Peiro, J.},
  title = {Computational modelling of 1D blood flow with variable mechanical properties},
  year = {2001},
  groups = {sherwin}
}

V. Theofilis and S. J. Sherwin

Global instabilities in trailing-edge laminar separated flow on a Naca 0012 aerofoil

2001.

BiBTeX

@inproceedings{2001:theofilis.sherwin:global,
  author = {Theofilis, V. and Sherwin, S.J.},
  title = {Global instabilities in trailing-edge laminar separated flow on a Naca 0012 aerofoil},
  year = {2001},
  groups = {sherwin}
}

2000

S. J. Sherwin

Dispersion analysis of the continuous and discontinuous Galerkin formulations

in Lecture Notes in Computational Science and Engineering, 2000.

BiBTeX

@inproceedings{2000:sherwin:dispersion,
  author = {Sherwin, S.J.},
  title = {Dispersion analysis of the continuous and discontinuous Galerkin formulations},
  journal = {Lecture Notes in Computational Science and Engineering},
  year = {2000},
  groups = {sherwin}
}

S. J. Sherwin and J. Piero

High order automatic mesh generation: optimal p-type surface generation

2000.

BiBTeX

@inproceedings{2000:sherwin.piero:high,
  author = {Sherwin, S.J. and Piero, J.},
  title = {High order automatic mesh generation: optimal p-type surface generation},
  year = {2000},
  groups = {sherwin}
}

S. J. Sherwin, I. Robertson, L. Li and P. W. Bearman

Bridge Design: Computational Modelling of Bridge Deck Instability due to Cross Winds

2000.

BiBTeX

@inproceedings{2000:sherwin.robertson.ea:bridge,
  author = {Sherwin, S.J. and Robertson, I. and Li, L. and Bearman, P.W.},
  title = {Bridge Design: Computational Modelling of Bridge Deck Instability due to Cross Winds},
  year = {2000},
  groups = {sherwin}
}

1999

R. M. Kirby, T. C. Warburton, S. J. Sherwin, A. Beskok and G. E. Karniadakis

Nεκταr code: Dynamic simulations without remeshing

in American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP, 1999.

BiBTeX

@inproceedings{1999:kirby.warburton.ea:nra,
  author = {Kirby, R.M. and Warburton, T.C. and Sherwin, S.J. and Beskok, A. and Karniadakis, G.E.},
  title = {Nεκταr code: Dynamic simulations without remeshing},
  journal = {American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP},
  year = {1999},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-0033327347&partnerID=MN8TOARS}
}

S. J. Sherwin, G. S. Karmanos and J. Morrison

Large eddy simulation using unstructured spectral/hp elements

1999.

BiBTeX

@inproceedings{1999:sherwin.karmanos.ea:large,
  author = {Sherwin, S.J. and Karmanos, G.S. and Morrison, J.},
  title = {Large eddy simulation using unstructured spectral/hp elements},
  year = {1999},
  groups = {sherwin}
}

1998

S. J. Sherwin

A High Order Fourier/Unstructured Discontinuous Galerkin Method for Hyperbolic Conservation Laws

1998.

BiBTeX

@inproceedings{1998:sherwin:high,
  author = {Sherwin, S.J.},
  title = {A High Order Fourier/Unstructured Discontinuous Galerkin Method for Hyperbolic Conservation Laws},
  year = {1998},
  groups = {sherwin}
}

S. J. Sherwin, C. G. Caro, O. Shah, D. J. Doorly, J. Piero, N. Watkins, C. L. Dumoulin, M. McLean and M. Tarnawski

3-D Curvature of arterial bends and branches: Implications for arterial bypass grafting

1998.

BiBTeX

@inproceedings{1998:sherwin.caro.ea:3d,
  author = {Sherwin, S.J. and Caro, C.G. and Shah, O. and Doorly, D.J. and Piero, J. and Watkins, N. and Dumoulin, C.L. and McLean, M. and Tarnawski, M.},
  title = {3-D Curvature of arterial bends and branches: Implications for arterial bypass grafting},
  year = {1998},
  groups = {sherwin}
}

S. J. Sherwin, C. G. Caro, N. Watkins, D. J. Doorly and J. Piero

Influence of non-planar geometry on flow separation

1998.

BiBTeX

@inproceedings{1998:sherwin.caro.ea:influence,
  author = {Sherwin, S.J. and Caro, C.G. and Watkins, N. and Doorly, D.J. and Piero, J.},
  title = {Influence of non-planar geometry on flow separation},
  year = {1998},
  groups = {sherwin}
}

S. J. Sherwin and G. S. Karmanos

A High Order Splitting Scheme for the Navies-Stokes Equations with Variable Viscosity

1998.

BiBTeX

@inproceedings{1998:sherwin.karmanos:high,
  author = {Sherwin, S.J. and Karmanos, G.S.},
  title = {A High Order Splitting Scheme for the Navies-Stokes Equations with Variable Viscosity},
  year = {1998},
  groups = {sherwin}
}

S. J. Sherwin, J. Piero, O. Shah, D. J. Doorly and C. G. Caro

Unstructured Viscous Mesh Generation for Haemodynamic Flow Simulation Using High Order Spectral Elements

1998.

BiBTeX

@inproceedings{1998:sherwin.piero.ea:unstructured,
  author = {Sherwin, S.J. and Piero, J. and Shah, O. and Doorly, D.J. and Caro, C.G.},
  title = {Unstructured Viscous Mesh Generation for Haemodynamic Flow Simulation Using High Order Spectral Elements},
  year = {1998},
  groups = {sherwin}
}

M. Xia, G. Karniadakis, G. Karamanos and S. Sherwin

Issues in LES of wake flows

in 29th AIAA, Fluid Dynamics Conference, 1998. doi 10.2514/6.1998-2893

BiBTeX

@inproceedings{1998:xia.karniadakis.ea:issues,
  author = {Xia, Ma and Karniadakis, George and Karamanos, George and Sherwin, Spencer},
  title = {Issues in LES of wake flows},
  booktitle = {29th AIAA, Fluid Dynamics Conference},
  publisher = {American Institute of Aeronautics and Astronautics},
  year = {1998},
  groups = {sherwin},
  doi = {10.2514/6.1998-2893}
}

1997

D. J. Doorly, J. Peiro, S. J. Sherwin, O. Shah, C. G. Caro, M. Tarnawski, M. MacLean, C. Dumoulin and L. Axel

Helix and model graft flows: MRI measurement and CFD simulations

in American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED, 1997.

BiBTeX

@inproceedings{1997:doorly.peiro.ea:helix,
  author = {Doorly, D.J. and Peiro, J. and Sherwin, S.J. and Shah, O. and Caro, C.G. and Tarnawski, M. and MacLean, M. and Dumoulin, C. and Axel, L.},
  title = {Helix and model graft flows: MRI measurement and CFD simulations},
  journal = {American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED},
  year = {1997},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-18244415122&partnerID=MN8TOARS}
}

S. J. Sherwin

Parallel Implementation of an Unstructured Spectral/ hp Element Algorithm: Nektar

1997.

BiBTeX

@inproceedings{1997:sherwin:parallel,
  author = {Sherwin, S.J.},
  title = {Parallel Implementation of an Unstructured Spectral/ hp Element Algorithm: Nektar},
  year = {1997},
  groups = {sherwin}
}

S. J. Sherwin, D. J. Doorly, O. Shah, J. Piero, C. G. Caro, M. Tarnawski, M. McLean, L. Axel and C. L. Dumoulin

Helical flow patterns in vessels

1997.

BiBTeX

@inproceedings{1997:sherwin.doorly.ea:helical,
  author = {Sherwin, S.J. and Doorly, D.J. and Shah, O. and Piero, J. and Caro, C.G. and Tarnawski, M. and McLean, M. and Axel, L. and Dumoulin, C.L.},
  title = {Helical flow patterns in vessels},
  year = {1997},
  groups = {sherwin}
}

S. J. Sherwin, O. Shah, D. J. Doorly, M. McLean, N. Watkins, C. G. Caro, J. Piero, M. Tarnawski and C. L. Dumoulin

Visualisation and computational study of flow at model planar and non-planar end-to-side arterial bypass grafts

1997.

BiBTeX

@inproceedings{1997:sherwin.shah.ea:visualisation,
  author = {Sherwin, S.J. and Shah, O. and Doorly, D.J. and McLean, M. and Watkins, N. and Caro, C.G. and Piero, J. and Tarnawski, M. and Dumoulin, C.L.},
  title = {Visualisation and computational study of flow at model planar and non-planar end-to-side arterial bypass grafts},
  year = {1997},
  groups = {sherwin}
}

S. J. Sherwin, T. C. E. Warburton and G. E. Karniadakis

Spectral/hp Methods For Elliptic Problems on Hybrid Grids

1997.

BiBTeX

@inproceedings{1997:sherwin.warburton.ea:spectralhp,
  author = {Sherwin, S.J. and Warburton, T.C.E. and Karniadakis, G.E.},
  title = {Spectral/hp Methods For Elliptic Problems on Hybrid Grids},
  year = {1997},
  groups = {sherwin}
}

1996

S. J. Sherwin, J. A. Desideri, C. Hirsch, P. LeTallec, M. Pandolfi and J. Periaux

Tetrahedral hp finite elements for unsteady flows

1996.

BiBTeX

@inproceedings{1996:sherwin.desideri.ea:tetrahedral,
  author = {Sherwin, S.J. and Desideri, J A and Hirsch, C and LeTallec, P and Pandolfi, M and Periaux, J},
  title = {Tetrahedral hp finite elements for unsteady flows},
  year = {1996},
  groups = {sherwin}
}

1995

S. J. Sherwin and G. E. Karniadakis

Adaptive hp Finite Elements on Unstructured Meshes

1995.

BiBTeX

@inproceedings{1995:sherwin.karniadakis:adaptive,
  author = {Sherwin, S.J. and Karniadakis, G.E.},
  title = {Adaptive hp Finite Elements on Unstructured Meshes},
  year = {1995},
  groups = {sherwin}
}

S. J. Sherwin and G. E. Karniadakis

Unstructured Spectral Elements

1995.

BiBTeX

@inproceedings{1995:sherwin.karniadakis:unstructured,
  author = {Sherwin, S.J. and Karniadakis, G.E.},
  title = {Unstructured Spectral Elements},
  year = {1995},
  groups = {sherwin}
}

S. J. Sherwin, T. C. E. Warburton and G. E. Karniadakis

Hierarchical refinement using spectral/hp triangles and prisms

1995.

BiBTeX

@inproceedings{1995:sherwin.warburton.ea:hierarchical,
  author = {Sherwin, S.J. and Warburton, T.C.E. and Karniadakis, G.E.},
  title = {Hierarchical refinement using spectral/hp triangles and prisms},
  year = {1995},
  groups = {sherwin}
}

S. J. Sherwin, T. C. E. Warburton and G. E. Karniadakis

Unstructured hp/ Spectral Elements: Connectivity and Optimal Ordering

1995.

BiBTeX

@inproceedings{1995:sherwin.warburton.ea:unstructured,
  author = {Sherwin, S.J. and Warburton, T.C.E. and Karniadakis, G.E.},
  title = {Unstructured hp/ Spectral Elements: Connectivity and Optimal Ordering},
  year = {1995},
  groups = {sherwin}
}

1994

S. J. Sherwin and G. E. Karniadakis

Tetrahedral Spectral Elements for CFD

in Lecture Notes in Physics, 1994.

BiBTeX

@inproceedings{1994:sherwin.karniadakis:tetrahedral,
  author = {Sherwin, S.J. and Karniadakis, G.E.},
  title = {Tetrahedral Spectral Elements for CFD},
  journal = {Lecture Notes in Physics},
  year = {1994},
  groups = {sherwin}
}

S. J. Sherwin and G. E. Karniadakis

A Triangular Spectral Element Method: Algorithms and Flow Simulations

1994.

BiBTeX

@inproceedings{1994:sherwin.karniadakis:triangular,
  author = {Sherwin, S.J. and Karniadakis, G.E.},
  title = {A Triangular Spectral Element Method: Algorithms and Flow Simulations},
  year = {1994},
  groups = {sherwin}
}

1992

S. J. Sherwin, S. A. Orszag, E. Barouch and G. E. Karniadakis

Application of an E.N.O. scheme to simulate the ion etching process

in Notes on Numerical Fluid Mechanics, 1992.

BiBTeX

@inproceedings{1992:sherwin.orszag.ea:application,
  author = {Sherwin, S.J. and Orszag, S.A. and Barouch, E. and Karniadakis, G.E.},
  title = {Application of an E.N.O. scheme to simulate the ion etching process},
  journal = {Notes on Numerical Fluid Mechanics},
  year = {1992},
  groups = {sherwin}
}

J. Marcon, M. Turner, D. Moxey, S. J. Sherwin and J. Peiro

A variational approach to high-order r-adaptation

BiBTeX

@inproceedings{0000:marcon.turner.ea:variational,
  author = {Marcon, Julian and Turner, Michael and Moxey, David and Sherwin, Spencer J and Peiro, Joaquim},
  title = {A variational approach to high-order r-adaptation},
  groups = {sherwin}
}

H. Xu, P. Hall and S. Sherwin

Effect of curvature modulation on Gortler vortices in boundary layers

BiBTeX

@inproceedings{0000:xu.hall.ea:effect,
  author = {Xu, H and Hall, P and Sherwin, S},
  title = {Effect of curvature modulation on Gortler vortices in boundary layers},
  groups = {sherwin}
}

H. Xu, J. Lombard and S. Sherwin

Delaying natural transition of a boundary layer using smooth steps

BiBTeX

@inproceedings{0000:xu.lombard.ea:delaying,
  author = {Xu, H and Lombard, J and Sherwin, S},
  title = {Delaying natural transition of a boundary layer using smooth steps},
  groups = {sherwin}
}

H. Xu, M. S. Mughal, E. R. Gowree and S. Sherwin

Effect of a 3d indentation on boundary layer instability

BiBTeX

@inproceedings{0000:xu.mughal.ea:effecta,
  author = {Xu, H and Mughal, M S and Gowree, E R and Sherwin, S},
  title = {Effect of a 3d indentation on boundary layer instability},
  groups = {sherwin}
}

H. Xu, M. S. Mughal and S. Sherwin

Effect of a 3D surface depression on boundary layer transition

BiBTeX

@inproceedings{0000:xu.mughal.ea:effect,
  author = {Xu, H and Mughal, M S and Sherwin, S},
  title = {Effect of a 3D surface depression on boundary layer transition},
  groups = {sherwin}
}

H. Xu, S. Sherwin and P. Hall

Transmission coefficient of Tollmien-Schlichting waves undergoing small indentation/hump distortion

in ICAS 2014 CD-ROM PROCEEDINGS.

BiBTeX

@inproceedings{0000:xu.sherwin.ea:transmission,
  author = {Xu, H and Sherwin, S and Hall, P},
  title = {Transmission coefficient of Tollmien-Schlichting waves undergoing small indentation/hump distortion},
  journal = {ICAS 2014 CD-ROM PROCEEDINGS},
  groups = {sherwin}
}

2026

A. I. Liosi, P. Khurana, A. Swift, A. Chatzopoulos, F. Bottone, J. Hoessler and S. J. Sherwin

Requirements and Current Capabilities for Implicit Large Eddy Simulation of the Imperial Front Wing Using Spectral/hp Element Methods

in ERCOFTAC Series, Springer Nature Switzerland, 2026, pp. 271–277. doi 10.1007/978-3-032-19268-4_41

BiBTeX

@incollection{2026:liosi.khurana.ea:requirements,
  author = {Liosi, A. I. and Khurana, P. and Swift, A. and Chatzopoulos, A. and Bottone, F. and Hoessler, J. and Sherwin, S. J.},
  title = {Requirements and Current Capabilities for Implicit Large Eddy Simulation of the Imperial Front Wing Using Spectral/hp Element Methods},
  booktitle = {ERCOFTAC Series},
  publisher = {Springer Nature Switzerland},
  year = {2026},
  pages = {271--277},
  groups = {sherwin},
  doi = {10.1007/978-3-032-19268-4_41}
}

H. Wüstenberg, S. J. Sherwin, J. Peiró and D. Moxey

Efficient Implicit Time-Stepping for High Reynolds Number Flows Around Complex Geometries

in ERCOFTAC Series, Springer Nature Switzerland, 2026, pp. 339–346. doi 10.1007/978-3-032-19268-4_51

BiBTeX

@incollection{2026:wustenberg.sherwin.ea:efficient,
  author = {Wüstenberg, H. and Sherwin, S. J. and Peiró, J. and Moxey, D.},
  title = {Efficient Implicit Time-Stepping for High Reynolds Number Flows Around Complex Geometries},
  booktitle = {ERCOFTAC Series},
  publisher = {Springer Nature Switzerland},
  year = {2026},
  pages = {339--346},
  groups = {sherwin},
  doi = {10.1007/978-3-032-19268-4_51}
}

2025

P. Khurana, S. J. Sherwin, J. Hoessler, F. Bottone and D. Moxey

Comparison of Preconditioning Techniques Using Spectral/hp Element Methods for Complex Geometries

in Lecture Notes in Computational Science and Engineering, Springer Nature Switzerland, 2025, pp. 275–296. doi 10.1007/978-3-031-76988-7_14

BiBTeX

@incollection{2025:khurana.sherwin.ea:comparison,
  author = {Khurana, Parv and Sherwin, Spencer J. and Hoessler, Julien and Bottone, Francesco and Moxey, David},
  title = {Comparison of Preconditioning Techniques Using Spectral/hp Element Methods for Complex Geometries},
  booktitle = {Lecture Notes in Computational Science and Engineering},
  publisher = {Springer Nature Switzerland},
  year = {2025},
  pages = {275--296},
  groups = {sherwin},
  doi = {10.1007/978-3-031-76988-7_14}
}

A. I. Liosi, H. Wüstenberg, P. Khurana, S. Sherwin, J. Hoessler, A. Swift and A. Chatzopoulos
Comparing Efficient Implicit Time-Stepping Techniques for Highly Resolved Simulations Using Industrial Geometries
in AIAA SCITECH 2025 Forum, 2025. doi 10.2514/6.2025-1486
BiBTeX Abstract
```
@inbook{2025:liosi.wustenberg.ea:comparing,
  author = {Liosi, Alexandra I. and W{\"u}stenberg, Henrik and Khurana, Parv and Sherwin, Spencer and Hoessler, Julien and Swift, Adam and Chatzopoulos, Athanasios},
  title = {Comparing Efficient Implicit Time-Stepping Techniques for Highly Resolved Simulations Using Industrial Geometries},
  year = {2025},
  booktitle = {AIAA SCITECH 2025 Forum},
  doi = {10.2514/6.2025-1486},
  groups = {core},
  url = {https://arc.aiaa.org/doi/abs/10.2514/6.2025-1486},
  eprint = {https://arc.aiaa.org/doi/pdf/10.2514/6.2025-1486}
}
```
High-fidelity modeling approaches such as LES are increasingly used for analyzing complex, unsteady flow phenomena in industrial geometries at high Reynolds numbers. However, their computational cost prevents widespread adoption as a standard tool in developing aerodynamic devices. One potential solution is to increase the simulation time step, even beyond the CFL limit, when employing implicit schemes to discretize the equations. Two implicit time-stepping techniques for solving the incompressible Navier-Stokes equations in a segregated manner using the high-order Spectral h/p element method were examined in this study. Our objectives were to explore the stability margins for each scheme, assess their impact on accuracy, and evaluate the achieved speed-up. The Imperial Front Wing (IFW) industrial benchmark was considered for these purposes. Both schemes successfully allowed for an increased simulation timestep, resulting in a considerable reduction in the total computation time. As the timestep increased, the flow accuracy deviated more from the reference simulation. This work outlines the characteristics of each scheme, compares them with existing literature on canonical flows, and highlights the trade-offs between accuracy and computational efficiency.

H. Wüstenberg, S. J. Sherwin, J. Peiró and D. Moxey

An Efficient Linearly-Implicit Velocity-Correction Scheme for Quasi-3D Incompressible Flows

in Lecture Notes in Computational Science and Engineering, Springer Nature Switzerland, 2025, pp. 419–435. doi 10.1007/978-3-031-76988-7_22

BiBTeX

@incollection{2025:wustenberg.sherwin.ea:efficient,
  author = {Wüstenberg, Henrik and Sherwin, Spencer J. and Peiró, Joaquim and Moxey, David},
  title = {An Efficient Linearly-Implicit Velocity-Correction Scheme for Quasi-3D Incompressible Flows},
  booktitle = {Lecture Notes in Computational Science and Engineering},
  publisher = {Springer Nature Switzerland},
  year = {2025},
  pages = {419--435},
  groups = {sherwin},
  doi = {10.1007/978-3-031-76988-7_22}
}

2022

S. Sherwin, P. Schmid and X. WuPreface. 2022.

BiBTeX

@book{2022:sherwin.schmid.ea:preface,
  author = {Sherwin, S and Schmid, P and Wu, X},
  title = {Preface},
  journal = {IUTAM Bookseries},
  year = {2022},
  groups = {sherwin}
}

Z.-G. Yan, Y. Pan, J. Peiró and S. J. Sherwin

Eigenspectral Analysis of Preconditioners in an Adaptive Compressible Flow Solver

in Lecture Notes in Computational Science and Engineering, Springer International Publishing, 2022, pp. 521–532. doi 10.1007/978-3-031-20432-6_35

BiBTeX

@incollection{2022:yan.pan.ea:eigenspectral,
  author = {Yan, Zhen-Guo and Pan, Yu and Peiró, Joaquim and Sherwin, Spencer J.},
  title = {Eigenspectral Analysis of Preconditioners in an Adaptive Compressible Flow Solver},
  booktitle = {Lecture Notes in Computational Science and Engineering},
  publisher = {Springer International Publishing},
  year = {2022},
  pages = {521--532},
  groups = {sherwin},
  doi = {10.1007/978-3-031-20432-6_35}
}

2021

E. E. Cooke, S. Mughal, S. Sherwin, R. Ashworth and S. Rolston

Destabilisation of Stationary and Travelling Crossflow Disturbances Due to Forward and Backward Facing Steps over a Swept Wing

in IUTAM Bookseries, Springer International Publishing, 2021, pp. 713–723. doi 10.1007/978-3-030-67902-6_62

BiBTeX

@incollection{2021:cooke.mughal.ea:destabilisation,
  author = {Cooke, Emma E. and Mughal, Shahid and Sherwin, Spencer and Ashworth, Richard and Rolston, Stephen},
  title = {Destabilisation of Stationary and Travelling Crossflow Disturbances Due to Forward and Backward Facing Steps over a Swept Wing},
  booktitle = {IUTAM Bookseries},
  publisher = {Springer International Publishing},
  year = {2021},
  pages = {713--723},
  groups = {sherwin},
  doi = {10.1007/978-3-030-67902-6_62}
}

2020

F. F. Buscariolo, S. J. Sherwin, G. R. S. Assi and J. R. Meneghini

Spectral/hp Methodology Study for iLES-SVV on an Ahmed Body

in Lecture Notes in Computational Science and Engineering, Springer International Publishing, 2020, pp. 297–311. doi 10.1007/978-3-030-39647-3_23

BiBTeX

@incollection{2020:buscariolo.sherwin.ea:spectralhp,
  author = {Buscariolo, Filipe F. and Sherwin, Spencer J. and Assi, Gustavo R. S. and Meneghini, Julio R.},
  title = {Spectral/hp Methodology Study for iLES-SVV on an Ahmed Body},
  booktitle = {Lecture Notes in Computational Science and Engineering},
  publisher = {Springer International Publishing},
  year = {2020},
  pages = {297--311},
  groups = {sherwin},
  doi = {10.1007/978-3-030-39647-3_23}
}

R. C. Moura, J. Peiró and S. J. Sherwin

Under-Resolved DNS of Non-trivial Turbulent Boundary Layers via Spectral/hp CG Schemes

in ERCOFTAC Series, Springer International Publishing, 2020, pp. 389–395. doi 10.1007/978-3-030-42822-8_51

BiBTeX

@incollection{2020:moura.peiro.ea:underresolved,
  author = {Moura, R. C. and Peiró, J. and Sherwin, S. J.},
  title = {Under-Resolved DNS of Non-trivial Turbulent Boundary Layers via Spectral/hp CG Schemes},
  booktitle = {ERCOFTAC Series},
  publisher = {Springer International Publishing},
  year = {2020},
  pages = {389--395},
  groups = {sherwin},
  doi = {10.1007/978-3-030-42822-8_51}
}

R. C. Moura, P. Fernandez, G. Mengaldo and S. J. Sherwin

Viscous Diffusion Effects in the Eigenanalysis of (Hybridisable) DG Methods

in Lecture Notes in Computational Science and Engineering, Springer International Publishing, 2020, pp. 371–382. doi 10.1007/978-3-030-39647-3_29

BiBTeX

@incollection{2020:moura.fernandez.ea:viscous,
  author = {Moura, Rodrigo C. and Fernandez, Pablo and Mengaldo, Gianmarco and Sherwin, Spencer J.},
  title = {Viscous Diffusion Effects in the Eigenanalysis of (Hybridisable) DG Methods},
  booktitle = {Lecture Notes in Computational Science and Engineering},
  publisher = {Springer International Publishing},
  year = {2020},
  pages = {371--382},
  groups = {sherwin},
  doi = {10.1007/978-3-030-39647-3_29}
}

S. J. Sherwin, D. Moxey, J. Peiró, P. E. Vincent and C. SchwabPreface. 2020.

BiBTeX

@book{2020:sherwin.moxey.ea:preface,
  author = {Sherwin, S J and Moxey, D and Peiró, J and Vincent, P E and Schwab, C},
  title = {Preface},
  journal = {Lecture Notes in Computational Science and Engineering},
  year = {2020},
  groups = {sherwin}
}

2019

R. C. Moura, J. Peiró and S. J. Sherwin

Implicit LES Approaches via Discontinuous Galerkin Methods at Very Large Reynolds

in ERCOFTAC Series, Springer International Publishing, 2019, pp. 53–59. doi 10.1007/978-3-030-04915-7_8

BiBTeX

@incollection{2019:moura.peiro.ea:implicit,
  author = {Moura, R. C. and Peiró, J. and Sherwin, S. J.},
  title = {Implicit LES Approaches via Discontinuous Galerkin Methods at Very Large Reynolds},
  booktitle = {ERCOFTAC Series},
  publisher = {Springer International Publishing},
  year = {2019},
  pages = {53--59},
  groups = {sherwin},
  doi = {10.1007/978-3-030-04915-7_8}
}

A. Yakhot, Y. Feldman, D. Moxey, S. Sherwin and G. E. Karniadakis

Near-Wall Turbulence in a Localized Puff in a Pipe

in Springer Proceedings in Physics, Springer International Publishing, 2019, pp. 15–20. doi 10.1007/978-3-030-22196-6_3

BiBTeX

@incollection{2019:yakhot.feldman.ea:nearwall,
  author = {Yakhot, Alexander and Feldman, Yuri and Moxey, David and Sherwin, Spencer and Karniadakis, George Em},
  title = {Near-Wall Turbulence in a Localized Puff in a Pipe},
  booktitle = {Springer Proceedings in Physics},
  publisher = {Springer International Publishing},
  year = {2019},
  pages = {15--20},
  groups = {sherwin},
  doi = {10.1007/978-3-030-22196-6_3}
}

2017

Y. Bao, R. Palacios, M. Graham and S. Sherwin

A Strip Modelling of Flow Past a Freely Vibrating Cable

in ERCOFTAC Series, Springer International Publishing, 2017, pp. 221–227. doi 10.1007/978-3-319-63212-4_27

BiBTeX

@incollection{2017:bao.palacios.ea:strip,
  author = {Bao, Y. and Palacios, R. and Graham, M. and Sherwin, S.},
  title = {A Strip Modelling of Flow Past a Freely Vibrating Cable},
  booktitle = {ERCOFTAC Series},
  publisher = {Springer International Publishing},
  year = {2017},
  pages = {221--227},
  groups = {sherwin},
  doi = {10.1007/978-3-319-63212-4_27}
}

R. C. Moura, G. Mengaldo, J. Peiró and S. J. Sherwin

An LES setting for DG-based implicit LES with insights on dissipation and robustness

in Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016, Springer, 2017, pp. 161–173. doi 10.1007/978-3-319-65870-4_10

BiBTeX

@incollection{2017:moura.mengaldo.ea:setting,
  author = {Moura, Rodrigo C and Mengaldo, Gianmarco and Peir{\'o}, Joaquim and Sherwin, Spencer J},
  title = {An LES setting for DG-based implicit LES with insights on dissipation and robustness},
  booktitle = {Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016},
  publisher = {Springer},
  year = {2017},
  pages = {161--173},
  doi = {10.1007/978-3-319-65870-4_10},
  groups = {core}
}

D. Moxey, C. D. Cantwell, G. Mengaldo, D. Serson, D. Ekelschot, J. Peiró, S. J. Sherwin and R. M. Kirby

Towards p-adaptive spectral/hp element methods for modelling industrial flows

in Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016, Springer, 2017, pp. 63–79. doi 10.1007/978-3-319-65870-4_4

BiBTeX

@incollection{2017:moxey.cantwell.ea:towards,
  author = {Moxey, D and Cantwell, CD and Mengaldo, G and Serson, D and Ekelschot, D and Peir{\'o}, J and Sherwin, SJ and Kirby, RM},
  title = {Towards p-adaptive spectral/hp element methods for modelling industrial flows},
  booktitle = {Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016},
  publisher = {Springer},
  year = {2017},
  pages = {63--79},
  doi = {10.1007/978-3-319-65870-4_4},
  groups = {core}
}

D. Serson, J. R. Meneghini and S. J. Sherwin

Extension of the Velocity-Correction Scheme to General Coordinate Systems

in Lecture Notes in Computational Science and Engineering, Springer International Publishing, 2017, pp. 331–342. doi 10.1007/978-3-319-65870-4_23

BiBTeX

@incollection{2017:serson.meneghini.ea:extension,
  author = {Serson, Douglas and Meneghini, Julio R. and Sherwin, Spencer J.},
  title = {Extension of the Velocity-Correction Scheme to General Coordinate Systems},
  booktitle = {Lecture Notes in Computational Science and Engineering},
  publisher = {Springer International Publishing},
  year = {2017},
  pages = {331--342},
  groups = {sherwin},
  doi = {10.1007/978-3-319-65870-4_23}
}

2015

R. C. Moura, S. Sherwin and J. Peiró

Modified Equation Analysis for the Discontinuous Galerkin Formulation

in Lecture Notes in Computational Science and Engineering, Springer International Publishing, 2015, pp. 375–383. doi 10.1007/978-3-319-19800-2_34

BiBTeX

@incollection{2015:moura.sherwin.ea:modified,
  author = {Moura, Rodrigo Costa and Sherwin, Spencer and Peiró, Joaquim},
  title = {Modified Equation Analysis for the Discontinuous Galerkin Formulation},
  booktitle = {Lecture Notes in Computational Science and Engineering},
  publisher = {Springer International Publishing},
  year = {2015},
  pages = {375--383},
  groups = {sherwin},
  doi = {10.1007/978-3-319-19800-2_34}
}

D. Moxey, M. D. Green, S. J. Sherwin and J. Peiró

On the Generation of Curvilinear Meshes Through Subdivision of Isoparametric Elements

in SEMA SIMAI Springer Series, Springer International Publishing, 2015, pp. 203–215. doi 10.1007/978-3-319-06053-8_10

BiBTeX

@incollection{2015:moxey.green.ea:generation,
  author = {Moxey, David and Green, Mashy D. and Sherwin, Spencer J. and Peiró, Joaquim},
  title = {On the Generation of Curvilinear Meshes Through Subdivision of Isoparametric Elements},
  booktitle = {SEMA SIMAI Springer Series},
  publisher = {Springer International Publishing},
  year = {2015},
  pages = {203--215},
  groups = {sherwin},
  doi = {10.1007/978-3-319-06053-8_10}
}

J. Peiro, D. Moxey, B. Jordi, S. J. Sherwin, B. W. Nelson, R. M. Kirby and R. Haimes

High-Order Visualization with ElVis

in Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Springer International Publishing, 2015, pp. 521–534. doi 10.1007/978-3-319-12886-3_24

BiBTeX

@incollection{2015:peiro.moxey.ea:highorder,
  author = {Peiro, J. and Moxey, D. and Jordi, B. and Sherwin, S. J. and Nelson, B. W. and Kirby, R. M. and Haimes, R.},
  title = {High-Order Visualization with ElVis},
  booktitle = {Notes on Numerical Fluid Mechanics and Multidisciplinary Design},
  publisher = {Springer International Publishing},
  year = {2015},
  pages = {521--534},
  groups = {sherwin},
  doi = {10.1007/978-3-319-12886-3_24}
}

2010

X. Mao and S. J. SherwinSpectra of swirling flow. 2010. doi 10.1007/978-90-481-3723-7-39

BiBTeX

@book{2010:mao.sherwin:spectra,
  author = {Mao, X. and Sherwin, S.J.},
  title = {Spectra of swirling flow},
  journal = {IUTAM Bookseries},
  year = {2010},
  groups = {sherwin},
  doi = {10.1007/978-90-481-3723-7-39},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-84862283301&partnerID=MN8TOARS}
}

2009

J. A. Arimon, D. Doorly, S. Giordana, J. Peiró and S. Sherwin

Applications and test cases

in Cardiovascular Mathematics, Springer Milan, 2009, pp. 447–475. doi 10.1007/978-88-470-1152-6_12

BiBTeX

@incollection{2009:arimon.doorly.ea:applications,
  author = {Arimon, J. Alastruey and Doorly, Denis and Giordana, Sergio and Peiró, Joaquim and Sherwin, Spencer},
  title = {Applications and test cases},
  booktitle = {Cardiovascular Mathematics},
  publisher = {Springer Milan},
  year = {2009},
  pages = {447--475},
  groups = {sherwin},
  doi = {10.1007/978-88-470-1152-6_12}
}

D. Doorly and S. Sherwin

Geometry and flow

in Cardiovascular Mathematics, Springer Milan, 2009, pp. 177–209. doi 10.1007/978-88-470-1152-6_5

BiBTeX

@incollection{2009:doorly.sherwin:geometrya,
  author = {Doorly, Denis and Sherwin, Spencer},
  title = {Geometry and flow},
  booktitle = {Cardiovascular Mathematics},
  publisher = {Springer Milan},
  year = {2009},
  pages = {177--209},
  groups = {sherwin},
  doi = {10.1007/978-88-470-1152-6_5}
}

X. Mao and S. J. Sherwin

Spectra of Swirling Flow

in IUTAM Bookseries, Springer Netherlands, 2009, pp. 247–252. doi 10.1007/978-90-481-3723-7_39

BiBTeX

@incollection{2009:mao.sherwin:spectra,
  author = {Mao, Xuerui and Sherwin, Spencer J.},
  title = {Spectra of Swirling Flow},
  booktitle = {IUTAM Bookseries},
  publisher = {Springer Netherlands},
  year = {2009},
  pages = {247--252},
  groups = {sherwin},
  doi = {10.1007/978-90-481-3723-7_39}
}

A. de Vecchi, S. J. Sherwin and J. M. R. Graham

Wake Dynamics of External Flow Past a Curved Circular Cylinder with the Free-Stream Aligned to the Plane of Curvature

in IUTAM Bookseries, Springer Netherlands, 2009, pp. 175–185. doi 10.1007/978-1-4020-9898-7_15

BiBTeX

@incollection{2009:devecchi.sherwin.ea:wake,
  author = {de Vecchi, A. and Sherwin, S.J. and Graham, J.M.R.},
  title = {Wake Dynamics of External Flow Past a Curved Circular Cylinder with the Free-Stream Aligned to the Plane of Curvature},
  booktitle = {IUTAM Bookseries},
  publisher = {Springer Netherlands},
  year = {2009},
  pages = {175--185},
  groups = {sherwin},
  doi = {10.1007/978-1-4020-9898-7_15}
}

2008

A. S. Sharma, N. Abdessemed, S. Sherwin and V. Theofilis

Optimal Growth of Linear Perturbations in Low Pressure Turbine Flows

in IUTAM Bookseries, Springer Netherlands, 2008, pp. 339–343. doi 10.1007/978-1-4020-6858-4_39

BiBTeX

@incollection{2008:sharma.abdessemed.ea:optimal,
  author = {Sharma, Atul S. and Abdessemed, Nadir and Sherwin, Spencer and Theofilis, Vassilis},
  title = {Optimal Growth of Linear Perturbations in Low Pressure Turbine Flows},
  booktitle = {IUTAM Bookseries},
  publisher = {Springer Netherlands},
  year = {2008},
  pages = {339--343},
  groups = {sherwin},
  doi = {10.1007/978-1-4020-6858-4_39}
}

2007

K. E. Lee, K. H. Parker, S. J. Sherwin and C. G. Caro

The effects of geometrical configurations on steady flow in non-planar double bends

in IFMBE Proceedings, Springer Berlin Heidelberg, 2007, pp. 3461–3464. doi 10.1007/978-3-540-36841-0_875

BiBTeX

@incollection{2007:lee.parker.ea:effectsa,
  author = {Lee, K. E. and Parker, K. H. and Sherwin, S. J. and Caro, C. G.},
  title = {The effects of geometrical configurations on steady flow in non-planar double bends},
  booktitle = {IFMBE Proceedings},
  publisher = {Springer Berlin Heidelberg},
  year = {2007},
  pages = {3461--3464},
  groups = {sherwin},
  doi = {10.1007/978-3-540-36841-0_875}
}

2006

M. S. Broadhurst, V. Theofilis and S. J. Sherwin

SPECTRAL ELEMENT STABILITY ANALYSIS OF VORTICAL FLOWS

in Fluid Mechanics and Its Applications, Kluwer Academic Publishers, 2006, pp. 153–158. doi 10.1007/1-4020-4159-4_18

BiBTeX

@incollection{2006:broadhurst.theofilis.ea:spectrala,
  author = {Broadhurst, Michael S. and Theofilis, Vassilios and Sherwin, Spencer J.},
  title = {SPECTRAL ELEMENT STABILITY ANALYSIS OF VORTICAL FLOWS},
  booktitle = {Fluid Mechanics and Its Applications},
  publisher = {Kluwer Academic Publishers},
  year = {2006},
  pages = {153--158},
  groups = {sherwin},
  doi = {10.1007/1-4020-4159-4_18}
}

2005

G. Karniadakis and S. SherwinSpectral/hp element methods for computational fluid dynamics. Oxford University Press, 2005. doi 10.1093/acprof:oso/9780198528692.001.0001
BiBTeX Abstract
```
@book{2005:karniadakis.sherwin:spectralhp,
  author = {Karniadakis, G and Sherwin, S},
  title = {Spectral/hp element methods for computational fluid dynamics},
  publisher = {Oxford University Press},
  year = {2005},
  edition = {2nd edition},
  doi = {10.1093/acprof:oso/9780198528692.001.0001},
  groups = {core}
}
```
Spectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more limited. More recently, the need to find accurate solutions to the viscous flow equations around complex configurations has led to the development of high-order discretization procedures on unstructured meshes, which are also recognized as more efficient for solution of time-dependent oscillatory solutions over long time periods. This book, an updated edition on the original text, presents the recent and significant progress in multi-domain spectral methods at both the fundamental and application level. Containing material on discontinuous Galerkin methods, non-tensorial nodal spectral element methods in simplex domains, and stabilization and filtering techniques, this text introduces the use of spectral/hp element methods with particular emphasis on their application to unstructured meshes. It provides a detailed explanation of the key concepts underlying the methods along with practical examples of their derivation and application.

S. J. Sherwin, J. Peiro and S. Yip

Finite difference, finite element and finite volume methods for partial differential equations

2005.

BiBTeX

@incollection{2005:sherwin.peiro.ea:finite,
  author = {Sherwin, S.J. and Peiro, J. and Yip, S},
  title = {Finite difference, finite element and finite volume methods for partial differential equations},
  year = {2005},
  groups = {sherwin}
}

2003

T. E. Kendon, S. J. Sherwin and J. M. R. Graham

An irrotational/vortical split-flow approach to viscous free surface flow

in Computational Fluid and Solid Mechanics 2003, Elsevier, 2003, pp. 950–955. doi 10.1016/b978-008044046-0.50233-5

BiBTeX

@incollection{2003:kendon.sherwin.ea:irrotationalvorticalb,
  author = {Kendon, T.E. and Sherwin, S.J. and Graham, J.M.R.},
  title = {An irrotational/vortical split-flow approach to viscous free surface flow},
  booktitle = {Computational Fluid and Solid Mechanics 2003},
  publisher = {Elsevier},
  year = {2003},
  pages = {950--955},
  groups = {sherwin},
  doi = {10.1016/b978-008044046-0.50233-5}
}

J. Peiro, S. J. Sherwin, K. H. Parker, V. Franke, L. Formaggia, D. Lamponi, A. Quarteroni, M. W. Collins, G. Pontrelli and M. A. Atherton

Numerical simulation of arterial pulse propagation using one-dimensional models

2003.

BiBTeX

@incollection{2003:peiro.sherwin.ea:numerical,
  author = {Peiro, J. and Sherwin, S.J. and Parker, K.H. and Franke, V. and Formaggia, L. and Lamponi, D. and Quarteroni, A. and Collins, M W and Pontrelli, G and Atherton, M A},
  title = {Numerical simulation of arterial pulse propagation using one-dimensional models},
  year = {2003},
  groups = {sherwin}
}

S. Sherwin

A Substepping Navier-Stokes Splitting Scheme for Spectral/hp Element Discretisations

in Parallel Computational Fluid Dynamics 2002, Elsevier, 2003, pp. 43–52. doi 10.1016/b978-044450680-1/50006-1

BiBTeX

@incollection{2003:sherwin:substeppinga,
  author = {Sherwin, Spencer},
  title = {A Substepping Navier-Stokes Splitting Scheme for Spectral/hp Element Discretisations},
  booktitle = {Parallel Computational Fluid Dynamics 2002},
  publisher = {Elsevier},
  year = {2003},
  pages = {43--52},
  groups = {sherwin},
  doi = {10.1016/b978-044450680-1/50006-1}
}

2002

S. J. Sherwin, D. J. Doorly, A. Tura, M. Rahman and M. G. Satish

Flow dynamics within model distal arterial bypass grafts

2002.

BiBTeX

@incollection{2002:sherwin.doorly.ea:flow,
  author = {Sherwin, S.J. and Doorly, D.J. and Tura, A and Rahman, M and Satish, M G},
  title = {Flow dynamics within model distal arterial bypass grafts},
  year = {2002},
  groups = {sherwin}
}

1998

S. J. Sherwin, C. Evangelinos, H. Tufo and G. E. Karniadakis

hpDevelopment of a Parallel Unstructured Spectral/ Method for Unsteady Fluid Dynamics

in Parallel Computational Fluid Dynamics 1997, Elsevier, 1998, pp. 273–280. doi 10.1016/b978-044482849-1/50033-6

BiBTeX

@incollection{1998:sherwin.evangelinos.ea:hpdevelopment,
  author = {Sherwin, S.J. and Evangelinos, C. and Tufo, H. and Karniadakis, G.Em.},
  title = {hpDevelopment of a Parallel Unstructured Spectral/ Method for Unsteady Fluid Dynamics},
  booktitle = {Parallel Computational Fluid Dynamics 1997},
  publisher = {Elsevier},
  year = {1998},
  pages = {273--280},
  groups = {sherwin},
  doi = {10.1016/b978-044482849-1/50033-6}
}

1995

S. J. Sherwin and G. E. KarniadakisTetrahedral spectral elements for CFD. 1995.

BiBTeX

@book{1995:sherwin.karniadakis:tetrahedral,
  author = {Sherwin, S.J. and Karniadakis, G.E.},
  title = {Tetrahedral spectral elements for CFD},
  journal = {Lecture Notes in Physics},
  year = {1995},
  groups = {sherwin},
  url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-0029475294&partnerID=MN8TOARS}
}

2026

D. Moxey, M. Kirby, M. Lahooti, S. Sherwin and C. Cantwell

Nektar++ updates and future developments

Cassyni, 2026. doi 10.52843/cassyni.t4nnjl

BiBTeX

@misc{2026:moxey.kirby.ea:nektar,
  author = {Moxey, David and Kirby, Mike and Lahooti, Mohsen and Sherwin, Spencer and Cantwell, Chris},
  title = {Nektar++ updates and future developments},
  publisher = {Cassyni},
  year = {2026},
  groups = {sherwin},
  doi = {10.52843/cassyni.t4nnjl}
}

S. Sherwin

Ethos behind the Nektar++ Redesign Effort

Cassyni, 2026. doi 10.52843/cassyni.t4nnjl.4

BiBTeX

@misc{2026:sherwin:ethos,
  author = {Sherwin, Spencer},
  title = {Ethos behind the Nektar++ Redesign Effort},
  publisher = {Cassyni},
  year = {2026},
  groups = {sherwin},
  doi = {10.52843/cassyni.t4nnjl.4}
}

H. Wüstenberg, A. Liosi, S. J. Sherwin, J. Peiró and D. Moxey

Implicit Velocity Correction Schemes for Scale-Resolving Simulations of Incompressible Flow: Stability, Accuracy, and Performance

2026.

BiBTeX

@misc{2026:wustenberg.liosi.ea:implicit,
  author = {Wüstenberg, Henrik and Liosi, Alexandra and Sherwin, Spencer J and Peiró, Joaquim and Moxey, David},
  title = {Implicit Velocity Correction Schemes for Scale-Resolving Simulations of Incompressible Flow: Stability, Accuracy, and Performance},
  year = {2026},
  groups = {sherwin}
}

J. Y. Xing, B. Xia, D. Renner, C. D. Cantwell, D. Moxey, R. M. Kirby and S. J. Sherwin

Architecture-aware h-to-p optimisation: spectral/hp element operators for mixed-element meshes

2026.

BiBTeX

@misc{2026:xing.xia.ea:architectureaware,
  author = {Xing, Jacques Y and Xia, Boyang and Renner, Diego and Cantwell, Chris D and Moxey, David and Kirby, Robert M and Sherwin, Spencer J},
  title = {Architecture-aware $h$-to-$p$ optimisation: spectral/$hp$ element operators for mixed-element meshes},
  year = {2026},
  groups = {sherwin}
}

2025

C. Cantwell, M. Kirby, S. Sherwin, M. Lahooti and D. Moxey

Nektar++ Updates and Future Developments

Cassyni, 2025. doi 10.52843/cassyni.sb90jg

BiBTeX

@misc{2025:cantwell.kirby.ea:nektar,
  author = {Cantwell, Chris and Kirby, Mike and Sherwin, Spencer and Lahooti, Mohsen and Moxey, David},
  title = {Nektar++ Updates and Future Developments},
  publisher = {Cassyni},
  year = {2025},
  groups = {sherwin},
  doi = {10.52843/cassyni.sb90jg}
}

P. Khurana, A. Liosi, S. Sherwin, J. Hoessler, A. Swift, A. Chatzopoulos and F. Bottone

Industrialisation of spectral/hp element method for incompressible, transitional flow around Formula 1 geometries

2025.

BiBTeX

@misc{2025:khurana.liosi.ea:industrialisation,
  author = {Khurana, Parv and Liosi, Alexandra and Sherwin, Spencer and Hoessler, Julien and Swift, Adam and Chatzopoulos, Athanasios and Bottone, Francesco},
  title = {Industrialisation of spectral/hp element method for incompressible, transitional flow around Formula 1 geometries},
  year = {2025},
  groups = {sherwin}
}

2024

M. Lahooti, S. Sherwin, D. Moxey, C. Cantwell and M. Kirby

Nektar++ Updates and Future Developments

Cassyni, 2024. doi 10.52843/cassyni.0lr738

BiBTeX

@misc{2024:lahooti.sherwin.ea:nektar,
  author = {Lahooti, Mohsen and Sherwin, Spencer and Moxey, David and Cantwell, Chris and Kirby, Mike},
  title = {Nektar++ Updates and Future Developments},
  publisher = {Cassyni},
  year = {2024},
  groups = {sherwin},
  doi = {10.52843/cassyni.0lr738}
}

A. Melander, W. Laskowski, S. J. Sherwin and A. P. Engsig-Karup

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves

2024.

BiBTeX

@misc{2024:melander.laskowski.ea:pmultigrid,
  author = {Melander, Anders and Laskowski, Wojciech and Sherwin, Spencer J and Engsig-Karup, Allan P},
  title = {A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves},
  year = {2024},
  groups = {sherwin}
}

2023

D. Moxey, S. Sherwin, M. Lahoot, C. Cantwell and M. Kirby

Nektar++ updates and future developments

Cassyni, 2023. doi 10.52843/cassyni.9bx0t7

BiBTeX

@misc{2023:moxey.sherwin.ea:nektar,
  author = {Moxey, David and Sherwin, Spencer and Lahoot, Mohsen and Cantwell, Chris and Kirby, Mike},
  title = {Nektar++ updates and future developments},
  publisher = {Cassyni},
  year = {2023},
  groups = {sherwin},
  doi = {10.52843/cassyni.9bx0t7}
}

2022

G. Lyu, C. Chen, X. Du and S. J. Sherwin

Stable, Entropy-Pressure Compatible Subsonic Riemann Boundary Condition for Embedded Dg Compressible Flow Simulations

Elsevier BV, 2022. doi 10.2139/ssrn.4134159

BiBTeX

@misc{2022:lyu.chen.ea:stablea,
  author = {Lyu, Ganlin and Chen, Chao and Du, Xi and Sherwin, Spencer J.},
  title = {Stable, Entropy-Pressure Compatible Subsonic Riemann Boundary Condition for Embedded Dg Compressible Flow Simulations},
  publisher = {Elsevier BV},
  year = {2022},
  groups = {sherwin},
  doi = {10.2139/ssrn.4134159}
}

2020

F. F. Buscariolo, G. R. S. Assi and S. J. Sherwin

Computational study on an Ahmed Body equipped with simplified underbody diffuser

2020.

BiBTeX

@misc{2020:buscariolo.assi.ea:computational,
  author = {Buscariolo, Filipe F and Assi, Gustavo R S and Sherwin, Spencer J},
  title = {Computational study on an Ahmed Body equipped with simplified underbody diffuser},
  year = {2020},
  groups = {sherwin}
}

2019

S. Chun, J. Marcon, J. Peiro and S. J. Sherwin

Numerical study on the effect of geometric approximation error in the numerical solution of PDEs using a high-order curvilinear mesh

2019.

BiBTeX

@misc{2019:chun.marcon.ea:numerical,
  author = {Chun, Sehun and Marcon, Julian and Peiro, Joaquim and Sherwin, Spencer J},
  title = {Numerical study on the effect of geometric approximation error in the numerical solution of PDEs using a high-order curvilinear mesh},
  year = {2019},
  groups = {sherwin}
}

2018

M. Vymazal, D. Moxey, C. Cantwell, S. Sherwin and R. M. Kirby

Combined CG-HDG Method for Elliptic Problems: Performance Model

2018.

BiBTeX

@misc{2018:vymazal.moxey.ea:combined,
  author = {Vymazal, Martin and Moxey, David and Cantwell, Chris and Sherwin, Spencer and Kirby, Robert M},
  title = {Combined CG-HDG Method for Elliptic Problems: Performance Model},
  year = {2018},
  groups = {sherwin}
}

2017

C. Cantwell and S. Sherwin

Nektar++

2017.

BiBTeX

@misc{2017:cantwell.sherwin:nektar,
  author = {Cantwell, C and Sherwin, Spencer},
  title = {Nektar++},
  year = {2017},
  groups = {sherwin}
}

2016

C. Cantwell and S. Sherwin

Nektar++

2016.

BiBTeX

@misc{2016:cantwell.sherwin:nektar,
  author = {Cantwell, C and Sherwin, Spencer},
  title = {Nektar++},
  year = {2016},
  groups = {sherwin}
}

2015

C. Cantwell, S. J. Sherwin and D. Moxey

Nektar++

2015.

BiBTeX

@misc{2015:cantwell.sherwin.ea:nektar,
  author = {Cantwell, C and Sherwin, S J and Moxey, D},
  title = {Nektar++},
  year = {2015},
  groups = {sherwin}
}

G. Mengaldo, D. D. Grazia, D. Moxey, P. E. Vincent and S. J. Sherwin

Data supporting "Dealiasing techniques for high-order spectral element methods on regular and irregular grids"

2015.

BiBTeX

@misc{2015:mengaldo.grazia.ea:data,
  author = {Mengaldo, G and Grazia, D De and Moxey, D and Vincent, P E and Sherwin, S J},
  title = {Data supporting "Dealiasing techniques for high-order spectral element methods on regular and irregular grids"},
  year = {2015},
  groups = {sherwin}
}

H. Xu, J.-E. W. Lombard and S. J. Sherwin

Influence of localised smooth steps on the instability of a boundary layer

2015.

BiBTeX

@misc{2015:xu.lombard.ea:influence,
  author = {Xu, Hui and Lombard, Jean-Eloi W and Sherwin, Spencer J},
  title = {Influence of localised smooth steps on the instability of a boundary layer},
  year = {2015},
  groups = {sherwin}
}

2014

C. D. Cantwell, S. J. Sherwin and D. Moxey

Nektar++

2014.

BiBTeX

@misc{2014:cantwell.sherwin.ea:nektar,
  author = {Cantwell, C D and Sherwin, S J and Moxey, D},
  title = {Nektar++},
  year = {2014},
  groups = {sherwin}
}

2013

A. S. Sharma, N. Abdessemed, S. J. Sherwin and V. Theofilis

Transient growth mechanisms of low Reynolds number flow over a low-pressure turbine blade

2013.

BiBTeX

@misc{2013:sharma.abdessemed.ea:transient,
  author = {Sharma, A S and Abdessemed, N and Sherwin, S J and Theofilis, V},
  title = {Transient growth mechanisms of low Reynolds number flow over a low-pressure turbine blade},
  journal = {Theoretical and Computational Fluid Dynamics, 2010, 25(1-4) pp.19-30},
  year = {2013},
  groups = {sherwin}
}

A. S. Sharma, J. F. Morrison, B. J. McKeon, D. J. N. L. Limebeer, W. H. Koberg and S. J. Sherwin

Relaminarisation of Re_τ = 100 channel flow with globally stabilising linear feedback control

2013.

BiBTeX

@misc{2013:sharma.morrison.ea:relaminarisation,
  author = {Sharma, A S and Morrison, J F and McKeon, B J and Limebeer, D J N L and Koberg, W H and Sherwin, S J},
  title = {Relaminarisation of Re_τ = 100 channel flow with globally stabilising linear feedback control},
  journal = {Physics of Fluids},
  year = {2013},
  groups = {sherwin}
}

2009

A. Cookson, S. Sherwin and D. Doorly

Computational Investigation of Helical Pipe Geometries From a Mixing Perspective

PhD thesis, 2009.

BiBTeX

@phdthesis{2009:cookson.sherwin.ea:computational,
  author = {Cookson, Andrew and Sherwin, Spencer and Doorly, Denis},
  title = {Computational Investigation of Helical Pipe Geometries From a Mixing Perspective},
  year = {2009},
  groups = {sherwin}
}

P. Vincent, S. Sherwin and P. Weinberg

A Cellular Scale Study of Low Denisty Lipoprotein Concentration Polarisation in Arteries

PhD thesis, 2009.

BiBTeX

@phdthesis{2009:vincent.sherwin.ea:cellular,
  author = {Vincent, Peter and Sherwin, Spencer and Weinberg, Peter},
  title = {A Cellular Scale Study of Low Denisty Lipoprotein Concentration Polarisation in Arteries},
  year = {2009},
  groups = {sherwin}
}

2006

M. Broadhurst and S. Sherwin

Vortex Stability and Breakdown: Direct Numerical Simulation and Stability Analysis using BiGlobal and Parabolised Formulations

PhD thesis, 2006.

BiBTeX

@phdthesis{2006:broadhurst.sherwin:vortex,
  author = {Broadhurst, Michael and Sherwin, Spencer},
  title = {Vortex Stability and Breakdown: Direct Numerical Simulation and Stability Analysis using BiGlobal and Parabolised Formulations},
  year = {2006},
  groups = {sherwin}
}

Publication lists are also maintained on the Imperial College and Google Scholar pages.