A RANDOM DISCRETE VELOCITY MODEL AND APPROXIMATION OF THE BOLTZMANN-EQUATION

被引：14

作者：

ILLNER, R

WAGNER, W

机构：

[1] INST ANGEW ANAL & STOCHAST,O-1086 BERLIN,GERMANY

[2] UNIV VICTORIA,DEPT MATH,VICTORIA V8W 3P4,BC,CANADA

来源：

JOURNAL OF STATISTICAL PHYSICS | 1993年 / 70卷 / 3-4期

关键词：

DISCRETE VELOCITY MODELS; BOLTZMANN EQUATION; SIMULATION METHODS;

D O I：

10.1007/BF01053594

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An approximation procedure for the Boltzmann equation based on random choices of collision pairs from a fixed velocity set and on discrete velocity models is designed. In a suitable limit, the procedure is shown to converge to the time-discretized and spatially homogeneous Boltzmann equation.

引用

页码：773 / 792

页数：20

共 14 条

[1] A CONVERGENCE PROOF FOR NANBU SIMULATION METHOD FOR THE FULL BOLTZMANN-EQUATION [J].