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Vectorial Kinetic Relaxation Model with Central Velocity. Application to Implicit Relaxations Schemes

Vectorial Kinetic Relaxation Model with Central Velocity. Application to Implicit Relaxations Schemes
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Year:    2020

Author:    David Coulette, Clémentine Courtès, Emmanuel Franck, Laurent Navoret

Communications in Computational Physics, Vol. 27 (2020), Iss. 4 : pp. 976–1013

Abstract

We apply flux vector splitting (FVS) strategy to the implicit kinetic schemes for hyperbolic systems. It enables to increase the accuracy of the method compared to classical kinetic schemes while still using large time steps compared to the characteristic speeds of the problem. The method also allows to tackle multi-scale problems, such as the low Mach number limit, for which wave speeds with large ratio are involved. We present several possible kinetic relaxation schemes based on FVS and compare them on one-dimensional test-cases. We discuss stability issues for this kind of method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2019-0013

Communications in Computational Physics, Vol. 27 (2020), Iss. 4 : pp. 976–1013

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    38

Keywords:    Implicit scheme kinetic flux vector splitting Euler equation relaxation.

Author Details

David Coulette

Clémentine Courtès

Emmanuel Franck

Laurent Navoret

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