Asymptotic preserving Monte Carlo methods for the Boltzmann equation

被引：32

作者：

Pareschi, L ^{[1
]}

Russo, G

机构：

[1] Univ Ferrara, Dept Math, I-44100 Ferrara, Italy

[2] Univ Aquila, Dept Math, I-67100 Laquila, Italy

来源：

TRANSPORT THEORY AND STATISTICAL PHYSICS | 2000年 / 29卷 / 3-5期

关键词：

Boltzmann equation; implicit schemes; Monte Carlo method; fluid dynamic limit;

D O I：

10.1080/00411450008205882

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider some recently developed unconditionally stable numerical schemes for the Boltzmann equation, called Time Relaxed (TR) schemes. They share the important property of providing the correct fluid dynamic limit. Stability analysis of the schemes is performed, and the A-stability and L-stability of the schemes is studied. Monte Carlo methods based on TR discretizations are briefly reviewed. In particular, first and second order particle schemes are compared with a hybrid scheme, in which the equilibrium part of the distribution is described analytically.

引用

页码：415 / 430

页数：16

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