Raimund Bürger, Elvis Gavilán, Daniel Inzunza, Pep Mulet, Luis M. Villada:
Numerical simulation of forest fires by IMEX methods
Numerical techniques for approximate solution of a system of reaction-diffusion-convection problem modelling the evolution of temperature and fuel density in a wildfire are introduced. These schemes combine linearly implicit-explicit Runge-Kutta (IMEX-RK) methods and Strang-type splitting technique. Numerical examples with parameters and scenarios similar to those of [Asensio, M.I.; Ferragut, L. On a wildland fire model with radiation. Int. J. Numer. Meth. Engrg. 2002, 54, 137-157] are presented. Simulations also demonstrate that the model provides a tool for defining parameters of wildland fire control strategies such as the width of firebreaks.
This preprint gave rise to the following definitive publication(s):
Raimund BüRGER, Elvis GAVILáN, Daniel INZUNZA, Pep MULET, Luis M. VILLADA: Implicit-explicit methods for a convection-diffusion-reaction model of the propagation of forest fires. Mathematics, vol. 8, article: 1034 (21pp), (2020).