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