Present research concerns the physical background of a wild-fire propagation model
based on the split of the front motion into two parts - drifting and fluctuating. The drifting part is solved by the level set method and the fluctuating part describes turbulence
and fire-spotting. These phenomena have a random nature and can be modeled as a
stochastic process with the appropriate probability density function. Thus, wildland fire
propagation results to be described by a nonlinear partial differential equation (PDE) of
the reaction-diffusion type. A numerical study of the effects of the atmospheric stability
on wildfire propagation is performed through its effects on fire-spotting. Moreover, it
is shown that the solution of the PDE as an indicator function allows to construct the
energy balance equation in terms of the temperature.PhD Grant "La Caixa 2014