Numerical simulation of forest fire spread based on modifired 2D model

A modified two-dimensional two-phase mathematical model of forest fires spread is considered. The model is based on the averaging of three-dimensional equations of two-phase medium over the height of the forest fuel (FF) layer, it includes the $(k-\varepsilon)$ turbulence model with additional turbulence production and dissipation terms in the forest layer and the Eddy Break-up Model for the combustion rate in the gas phase.
The model elaborated can serve to carry out numerical simulation of the forest fire front propagation in conditions of non-homogeneous forest fuel distribution, obstacles to the fire spread and the effects of wind. This model can be used for computation of the fire propagation in real time, for expert assessments of emergency situations and assess the damage caused by forest fires.