Publication: A general model for wildfire propagation with wind and slope
Authors
Javaloyes Victoria, Miguel Ángel ; Pendás-Recondo, Enrique ; Sánchez, Miguel
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Publisher
Society for Industrial and Applied Mathematics
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DOI
https://doi.org/10.1137/22M1477866
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info:eu-repo/semantics/article
Description
© 2023 Society for Industrial and Applied Mathematics. This document is the Published Manuscript, version of a Published Work that appeared in final form in SIAM Journal on Applied Algebra and Geometry. To access the final edited and published work see https://doi.org/10.1137/22M1477866
Abstract
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.
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Citation
SIAM Journal on Applied Algebra and Geometry, 2023, Vol. 7, N. 2, pp. 414-439
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