ELABORATION OF AN EVOLVING CALCULATION DOMAIN FOR THE RESOLUTION OF AFIRE SPREAD MODEL

In a previous study, we proposed a two-dimensional reaction-diffusion equation to model fire spread. Our objective is to generate a forest f ire simulator. This led us to develop a resolution algorithm capable o f reducing the calculation time. This algorithm, applied to the finite difference method, is described here. The solution is calculated for only a certain number of points of the study domain. The calculation d omain is dynamically decreased or increased according to the evolution of the solution. The algorithm tested for the fire spread model can b e used to solve all reaction-diffusion equations that possess a spread ing solution.