Mathematical modeling of forest fire spread

This paper is devoted a problem of development of a mathematical model for description of heat and mass transfer processes at crown forest fire initiation and spread. Mathematical model of forest fire was based on an analysis of experimental data and using concept and methods from reactive media mechanics. This study gives a two dimensional averaged mathematical setting and method of numerical solution of a problem of a forest fire spread. The boundary-value problem is solved numerically using the method of splitting according to 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. 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 limiting conditions of forest fire propagation is of interest.. Key-Words: Mathematical model, forest fire, ignition, combustion, control volume, discrete analogue.