An analysis of over-relaxation in a kinetic approximation of systems of conservation laws

被引：10
|
作者：
Drui, Florence [1 ,2 ]
Franck, Emmanuel [1 ,2 ]
Helluy, Philippe [1 ,2 ]
Navoret, Laurent [1 ,2 ]
机构：
[1] Univ Strasbourg, IRMA, Strasbourg, France
[2] Inria Tonus, Strasbourg, France
来源：
COMPTES RENDUS MECANIQUE | 2019年 / 347卷 / 03期
关键词：
Kinetic relaxation; Equivalent equation; Boundary conditions; Asymptotic preserving;
D O I：
10.1016/j.crme.2018.12.001
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The over-relaxation approach is an alternative to the Jin-Xin relaxation method in order to apply the equilibrium source term in a more precise way. This is also a key ingredient of the lattice Boltzmann method for achieving second-order accuracy. In this work, we provide an analysis of the over-relaxation kinetic scheme. We compute its equivalent equation, which is particularly useful for devising stable boundary conditions for the hidden kinetic variables. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS.
引用
收藏
页码：259 / 269
页数：11
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