A STOCHASTIC CELLULAR AUTOMATON SIMULATION OF THE NONLINEAR DIFFUSION EQUATION

被引：6

作者：

BRIEGER, L

BONOMI, E

机构：

[1] Department of Mathematics, Ecole Polytechnique Fédérale de Lausanne

[2] GASOV Group, Ecole Polytechnique Fédérale de Lausanne

来源：

PHYSICA D | 1991年 / 47卷 / 1-2期

关键词：

D O I：

10.1016/0167-2789(91)90287-J

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we investigate a cellular automaton simulation of the non-linear diffusion equation. The diffusion coefficient characterizing the equation is used to locally bias the random walks of particles on a square lattice. Emphasis is placed on respecting the massively parallel nature of the automaton model, while also correctly simulating the macroscopic behavior described by the equation. The result, a highly parallel algorithm, presents an interesting possibility for parallel and dedicated machines.

引用

页码：159 / 168

页数：10