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