Imperial College London
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ProfessorSpencerSherwin

Faculty of Engineering, Department of Aeronautics

Head of the Department of Aeronautics
 
 
 
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Contact

 

+44 (0)20 7594 5052s.sherwin Website

 
 
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Location

 

318City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Serson:2016:10.1016/j.jcp.2016.04.026,
author = {Serson, D and Meneghini, JR and Sherwin, SJ},
doi = {10.1016/j.jcp.2016.04.026},
journal = {Journal of Computational Physics},
pages = {243--254},
title = {Velocity-correction schemes for the incompressible Navier-Stokes equations in general coordinate systems},
url = {http://dx.doi.org/10.1016/j.jcp.2016.04.026},
volume = {316},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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.
AU  - Serson,D
AU  - Meneghini,JR
AU  - Sherwin,SJ
DO  - 10.1016/j.jcp.2016.04.026
EP  - 254
PY  - 2016///
SN  - 1090-2716
SP  - 243
TI  - Velocity-correction schemes for the incompressible Navier-Stokes equations in general coordinate systems
T2  - Journal of Computational Physics
UR  - http://dx.doi.org/10.1016/j.jcp.2016.04.026
UR  - http://hdl.handle.net/10044/1/31101
VL  - 316
ER  -
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