考虑风和坡度的野火蔓延通用模型
A general model for wildfire propagation with wind and slope
AI总结：
本文提出一种基于Lorentz-Finsler框架的野火蔓延几何模型，将风、坡度和各向异性纳入统一描述，突破传统椭圆波前限制并实现实时计算。
摘要：
本文引入一种用于计算森林野火火锋的几何模型，该模型考虑了多种效应（可能随时间变化的风、各向异性和地面坡度）。它基于一个一般理论框架，该框架将任意波的双曲偏微分方程组在Lorentz-Finsler框架中约化为一个常微分方程。风引起一种双重半椭圆形的火势增长，而坡度的影响则通过一个来自Matsumoto度量（即标准的非可逆Finsler度量，用于度量上山和下山的时间）的项来建模。这些贡献与之前的模型有显著不同，因为现在无穷小波前不再局限于椭圆形。尽管这在技术上增加了复杂性，但波前仍可实时计算。文中展示了一些演化模拟，特别关注火势可能发生的交叉现象。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
