Browsing by Subject "Wildfire propagation"

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    A general model for wildfire propagation with wind and slope
    (Society for Industrial and Applied Mathematics, 2023-05-23) Javaloyes Victoria, Miguel Ángel; Pendás-Recondo, Enrique; Sánchez, Miguel; Matemáticas
    A geometric model for the computation of the firefront of a forest wildfire which takes into account several effects (possibly time-dependent wind, anisotropies, and slope of the ground) is introduced. It relies on a general theoretical framework, which reduces the hyperbolic PDE system of any wave to an ODE in a Lorentz-Finsler framework. The wind induces a sort of double semielliptical fire growth, while the influence of the slope is modeled by means of a term which comes from the Matsumoto metric (i.e., the standard nonreversible Finsler metric that measures the time when going up and down a hill). These contributions make a significant difference from previous models because, now, the infinitesimal wavefronts are not restricted to be elliptical. Even though this is a technical complication, the wavefronts remain computable in real time. Some simulations of evolution are shown, paying special attention to possible crossovers of the fire.