This paper presents the mathematical formulation, numerical solution, calibration and testing of a physics-based model of wildfire propagation aimed at faster-than-real-time simulations. Despite a number of simplifying assumptions, the model is comprehensive enough to capture the major phenomena that govern the behaviour of a real fire — namely the pyrolysation of wood; the combustion of a mono-phase medium composed of premixed gas of fuel and air; and the heat transferred by conduction, convection, radiation, mass diffusion and transport due to atmospheric wind. The model consists of a system of coupled partial differential equations, one ensuring the balance of enthalpy, and a set of equations representing the mass formation of each chemical species involved in the combustion. Dimensionality reduction is sought by modelling these three-dimensional phenomena in a two-dimensional space, which has been achieved by means of heat-sources and heat-sinks to account for the third dimension in the energy balance equation. Once calibrated with a widely used non-physics-based commercial wildfire simulator, the proposed Fire Propagation Model for Fast simulations (FireProM-F) is tested, returning similar predictions in terms of the size and shape of the burnt area although similarity deteriorates for windy conditions. FireProM-F has the added benefit of being both physics-based and computationally inexpensive so that its interaction with fire suppressants may also be modelled in the future and simulated in real time.

本文介绍了针对野火传播的基于物理学的模型的数学公式，数值解法，校准和测试，旨在实现比实时模拟更快的模拟。尽管有许多简化的假设，但是该模型足够全面，可以捕获控制真实火灾行为的主要现象，即木材的热解；由燃料和空气的预混合气体组成的单相介质的燃烧；以及由于大气风通过传导，对流，辐射，质量扩散和传递而传递的热量。该模型由一个耦合的偏微分方程组，一个确保焓平衡的系统和一组代表燃烧中每种化学物质的质量形成的方程式组成。通过在二维空间中对这些三维现象建模来寻求降维，这是通过热源和散热器实现的，以解决能量平衡方程中的第三维问题。一旦使用广泛使用的非基于物理的商业野火模拟器进行校准，建议的火 临pagation中号为Odel等˚F AST模拟（FireProM-F）被测试时，在烧伤面积虽然对于风的条件相似劣化的大小和形状方面类似返回预测。FireProM-F具有基于物理的优点和计算上的廉价优势，因此它与灭火剂的相互作用也可以在将来进行建模和实时仿真。