DIMENSIONAL REDUCTION OF A BUSHFIRE MODEL

被引：8

作者：

WATT, SD ^{[1
]}

ROBERTS, AJ ^{[1
]}

WEBER, RO ^{[1
]}

机构：

[1] UNIV SO QUEENSLAND,DEPT MATH & COMP,TOOWOOMBA,QLD 4350,AUSTRALIA

来源：

MATHEMATICAL AND COMPUTER MODELLING | 1995年 / 21卷 / 09期

关键词：

LOW-DIMENSIONAL MODELING; CENTER MANIFOLD; REACTION-DIFFUSION;

D O I：

10.1016/0895-7177(95)00055-7

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Throw a match into a vegetation layer. What happens to the fire as time goes on? The spread from the ground to canopy, and along the terrain may be modelled by a simple two-dimensional reaction-diffusion system. We discuss the use of centre manifold theory to simplify a two-dimensional model of fire spread down to a one-dimensional model of fire propagation along the layer. This not only shows how to justify such simple one-dimensional models, it is also possible, for example, to determine the reaction wave speed analytically.

引用

页码：79 / 83

页数：5