A general model for wildfire propagation with wind and slope
| Autor: | Javaloyes, Miguel Ángel, Pendás-Recondo, Enrique, Sánchez, Miguel |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | SIAM Journal on Applied Algebra and Geometry, Vol. 7, Iss. 2 (2023), 414-439 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1137/22M1477866 |
| Popis: | 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 semi-elliptical 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 non-reversible 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. Comment: Changes in the numbering so that it matches the published version. 29 pages, 10 figures |
| Databáze: | arXiv |
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