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

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

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...

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Bibliographic Details
Published in:Communications in computational physics Vol. 27; no. 4; pp. 976 - 1013
Main Authors: David Coulette, David Coulette, Clémentine Courtès, Clémentine Courtès, Emmanuel Franck, Emmanuel Franck, Laurent Navoret, Laurent Navoret
Format: Journal Article
Language:English
Published: Global Science Press 2020
Subjects:
Mathematics
Numerical Analysis
Euler equation
flux vector splitting
Implicit scheme
kinetic
relaxation
Online Access:Get full text
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Summary: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 asthelow Machnumber limit, for which wavespeeds with larger atioare 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
ISSN:1815-2406
1991-7120
DOI:10.4208/cicp.OA-2019-0013