Mathematical Model Of Forest Fire Initiation And Spread

Abstract

One of the objectives of these studies is the improvement of knowledge on the fundamental physical mechanisms that control the crown forest fire initiation and spread. Under specific conditions, a surface forest fire spreading through the ground cover is converted into a crown fire that moves through crown at a significantly greater rate than the surface fire, and hence is more dangerous ecologically. The research was made by means of the mathematical modeling methods of physical processes. It was based on numerical solution of two dimensional Reynolds equations for the description of turbulent flow taking into account for diffusion equations chemical components and equations of energy conservation for gaseous and condensed phases. To obtain discrete analogies a method of controlled volume of Patankar - Spalding was used. In this context, a study - mathematical modeling of the conditions of forest fire spreading that would make it possible to obtain a detailed picture of the change in the velocity, temperature and component concentration fields with time, and determine as well as the influence of different conditions on the forest fire spread, is of interest.