Mathematical Modelling of Large Forest Fires

The paper suggested in the context of the general mathematical model of forest fires gives a mathematical setting and method of numerical solution of a problem of a large forest fire initiation. The mathematical model a large forest fire is based on an analysis of known experimental data and using concept and methods from reactive media mechanics. The boundary-value problem is solved numerically using the method of splitting according to physical processes. Fields of temperature, velocity, component mass fractions, and volume fractions of phases were obtained numerically. It allows investigating dynamics of forest fire initiation under influence of various external conditions. Results of numerical calculations are given which imply that the ignition mechanism in this case is the same as for collision catastrophes. A comparison of the limiting dimensions of ignition zones shows good agreement with experimental data.