Numerical solution of Reynolds equations for forest fire spread

Abstract

In the present paper it is planned to develop mathematical model for description of heat and mass transfer processes at crown forest fire spread. The paper suggested in the context of the general mathematical model of forest fires [1] gives a new mathematical setting and method of numerical solution of a problem of a forest fire spread. 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 [2] was used. Numerical solution of this problem during surface and crown fires in exemplified heat energy release in the forest fire front was found. © 2002 Springer-Verlag Berlin Heidelberg.