@Article{CiCP-27-4,
author = {David, Coulette and Courtès, Clémentine and Franck, Emmanuel and Navoret, Laurent},
title = {Vectorial Kinetic Relaxation Model with Central Velocity. Application to Implicit Relaxations Schemes },
journal = {Communications in Computational Physics},
year = {2020},
volume = {27},
number = {4},
pages = {976--1013},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2019-0013},
url = {https://global-sci.com/article/79789/vectorial-kinetic-relaxation-model-with-central-velocity-application-to-implicit-relaxations-schemes}
}