An asymptotic preserving numerical scheme for kinetic equations in the low Mach number limit

被引：42
|
作者：
Klar, A [1 ]
机构：
[1] Free Univ Berlin, FB Math & Informat, D-14195 Berlin, Germany
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 1999年 / 36卷 / 05期
关键词：
kinetic equations; asymptotic analysis; low Mach number limit; incompressible Navier-Stokes equations; Chorin projection; MAC grid; numerical methods for stiff equations;
D O I：
10.1137/S0036142997321765
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A numerical scheme for the nonstationary Boltzmann equation in the incompressible Navier-Stokes limit is developed. The scheme is induced by the asymptotic analysis of the Navier-Stokes limit for the Boltzmann equation. It works uniformly for all ranges of mean free paths. In the limit the scheme reduces to the Chorin projection method for the incompressible Navier-Stokes equation. Numerical results for different physical situations are shown and the uniform convergence of the scheme is established numerically.
引用
收藏
页码：1507 / 1527
页数：21
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