A STOCHASTIC LATTICE GAS FOR BURGERS-EQUATION - A PRACTICAL STUDY

被引：6

作者：

BRIEGER, L

BONOMI, E

机构：

[1] CFD/MPC Project, IMHEF Ecole Polytechnique Fédérale de Lausanne, Lausanne, CH-1015

来源：

JOURNAL OF STATISTICAL PHYSICS | 1992年 / 69卷 / 3-4期

关键词：

LATTICE GAS; CELLULAR AUTOMATA; MONTE-CARLO METHOD; PARALLEL ALGORITHM; BURGERS EQUATION;

D O I：

10.1007/BF01050436

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We continue our investigation of stochastic lattice gases as a highly parallel) means of simulating given PDEs, in this case Burgers' equation in one dimension The lattice dynamics consists of stochastic unidirectional particle displacement, and our attention is turned toward the reliability of the model. i.e., its ability to reproduce the unique physical solution of Burgers' equation. Lattice gas results are discussed and compared against finite-difference calculations and exact solutions in examples which include shocks and rarefaction waves.

引用

页码：837 / 855

页数：19

共 13 条

[1] TABLE OF SOLUTIONS OF ONE-DIMENSIONAL BURGERS EQUATION [J].