Imperial College London
Portrait Picture

Professor Peter Vincent

Faculty of Engineering, Department of Aeronautics

Professor of Computational Fluid Dynamics
 
 
 
//

Contact

 

+44 (0)20 7594 1975p.vincent

 
 
//

Location

 

211City and Guilds BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Mengaldo:2015:10.1016/j.jcp.2015.06.032,
author = {Mengaldo, G and De, Grazia D and Moxey, D and Vincent, P and Sherwin, S},
doi = {10.1016/j.jcp.2015.06.032},
journal = {Journal of Computational Physics},
pages = {56--81},
title = {Dealiasing techniques for high-order spectral element methods on regular and irregular grids},
url = {http://dx.doi.org/10.1016/j.jcp.2015.06.032},
volume = {299},
year = {2015}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - High-order methods are becoming increasingly attractive in both academia and industry, especially in the context of computational fluid dynamics. However, before they can be more widely adopted, issues such as lack of robustness in terms of numerical stability need to be addressed, particularly when treating industrial-type problems where challenging geometries and a wide range of physical scales, typically due to high Reynolds numbers, need to be taken into account. One source of instability is aliasing effects which arise from the nonlinearity of the underlying problem. In this work we detail two dealiasing strategies based on the concept of consistent integration. The first uses a localised approach, which is useful when the nonlinearities only arise in parts of the problem. The second is based on the more traditional approach of using a higher quadrature. The main goal of both dealiasing techniques is to improve the robustness of high order spectral element methods, thereby reducing aliasing-driven instabilities. We demonstrate how these two strategies can be effectively applied to both continuous and discontinuous discretisations, where, in the latter, both volumetric and interface approximations must be considered. We show the key features of each dealiasing technique applied to the scalar conservation law with numerical examples and we highlight the main differences in terms of implementation between continuous and discontinuous spatial discretisations.
AU  - Mengaldo,G
AU  - De,Grazia D
AU  - Moxey,D
AU  - Vincent,P
AU  - Sherwin,S
DO  - 10.1016/j.jcp.2015.06.032
EP  - 81
PY  - 2015///
SN  - 0021-9991
SP  - 56
TI  - Dealiasing techniques for high-order spectral element methods on regular and irregular grids
T2  - Journal of Computational Physics
UR  - http://dx.doi.org/10.1016/j.jcp.2015.06.032
UR  - https://www.sciencedirect.com/science/article/pii/S0021999115004301
UR  - http://hdl.handle.net/10044/1/25033
VL  - 299
ER  -
Download