A HIERARCHY OF HYBRID NUMERICAL METHODS FOR MULTISCALE KINETIC EQUATIONS

被引：19

作者：

Filbet, Francis ^{[1
]}

Rey, Thomas ^{[2
]}

机构：

[1] Univ Lyon 1, Inria Kaliffe, Inst Camille Jordan, CNRS UMR 5208, F-69622 Villeurbanne, France

[2] Univ Maryland, Ctr Sci Computat & Math Modeling CSCAMM, College Pk, MD 20742 USA

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2015年 / 37卷 / 03期

基金：

欧洲研究理事会; 美国国家科学基金会;

关键词：

Boltzmann equation; fluid description; compressible Euler; compressible Navier-Stokes; Burnett transport coefficients; hybrid numerical method; domain decomposition; MOMENT REALIZABILITY; BOLTZMANN-EQUATION; SIMULATION;

D O I：

10.1137/140958773

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we construct a hierarchy of hybrid numerical methods for multiscale kinetic equations based on moment realizability matrices, a concept introduced by Levermore, Morokoff, and Nadiga in [Phys. Fluids, 10 (1998), pp. 3214-3226]. Following such a criterion, one can consider a hybrid scheme where the hydrodynamic part is given either by the compressible Euler or Navier-Stokes equations, or even with more general models, such as the Burnett or super-Burnett systems.

引用

页码：A1218 / A1247

页数：30

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