Abstract
This paper presents the mathematical formulation, numerical solution, calibration and testing of a physicsbased model of wildfire propagation aimed at fasterthanrealtime 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 monophase 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 threedimensional phenomena in a twodimensional space, which has been achieved by means of heatsources and heatsinks to account for the third dimension in the energy balance equation. Once calibrated with a widely used nonphysicsbased commercial wildfire simulator, the proposed Fire Propagation Model for Fast simulations (FireProMF) is tested, returning similar predictions in terms of the size and shape of the burnt area although similarity deteriorates for windy conditions. FireProMF has the added benefit of being both physicsbased and computationally inexpensive so that its interaction with fire suppressants may also be modelled in the future and simulated in real time.
Original language  English 

Pages (fromto)  790808 
Number of pages  19 
Journal  Computers & Mathematics with Applications 
Volume  80 
Early online date  28 May 2020 
DOIs  
Publication status  Published  1 Sep 2020 
Keywords
 Calibration
 Combustion
 FARSITE simulator
 Fire spread
 Forest fire
ASJC Scopus subject areas
 Modelling and Simulation
 Computational Theory and Mathematics
 Computational Mathematics
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Profiles

Mauro Innocente
 Institute for Future Transport and Cities  Assistant Professor (Academic)
Person: Teaching and Research