NUMERICAL PASSAGE FROM KINETIC TO FLUID EQUATIONS

被引：97

作者：

CORON, F ^{[1
]}

PERTHAME, B ^{[1
]}

机构：

[1] UNIV ORLEANS,DEPT MATH,F-45067 ORLEANS 02,FRANCE

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1991年 / 28卷 / 01期

关键词：

BGK MODEL; PARTICLE METHOD; COMPRESSIBLE EULER EQUATIONS; ENTROPY CONDITION;

D O I：

10.1137/0728002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical way to pass from the Bhatnagar-Gross-Krook model of the Boltzmann equation to compressible Euler equations is presented. In order to do so, a stable discretization of the kinetic equation, valid for arbitrary values of the mean free path is described. This requires that the discretization preserves some physical properties: positivity, conservation of mass, momentum, energy, and entropy property. This is motivated by hypersonic computations for reentry problems.

引用

页码：26 / 42

页数：17

共 18 条

[1]

BABOVSKY H, 1986, SIMULATION SCHEME BO

[2]

BALIAN R, 1982, PHYSIQUE STATISTIQUE

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