Mathematical Modeling of Crown Forest Fires Initiation

The problem of forest fire initiation were carried out, including development of a mathematical model for description of heat and mass transfer processes at crown forest fire initiation, taking into account the mutual influence of differences strata of forest. Mathematical model of forest fire was based on an analysis of experimental data and using concept and methods from reactive media mechanics. In the context of the general mathematical model of forest fires, this study gives a new three dimensional mathematical setting and method of numerical solution of a problem of a forest fire modeling. The boundary-value problem is solved numerically using the method of splitting according to physical processes. In this paper the assignment and theoretical investigations of the problems of forest fire initiation are carried out. Fields of temperature, velocity, component mass fractions, and volume fractions of phases were obtained numerically. Key-Words: Mathematical model, forest fire, combustion, control volume, discrete analogue.