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Understanding the dynamics of wildfire is crucial for developing managementand intervention strategies. Mathematical and computational models can be usedto improve our understanding of wildfire processes and dynamics. This paperpresents a systematic study of a widely used advection-diffusion-reactionwildfire model with non-linear coupling. The importance of single mechanisms isdiscovered by analysing hierarchical sub-models. Numerical simulations providefurther insight into the dynamics. As a result, the influence of wind and modelparameters such as the bulk density or the heating value on the wildfirepropagation speed and the remaining biomass after the burn are assessed.Linearisation techniques for a reduced model provide surprisingly goodestimates for the propagation speed in the full model.

Analytical and numerical insights into wildfire dynamics: Exploring the advection-diffusion-reaction model