SIMULATION of fire spread: Physics-inspired and chemistry-based mathematical analogues
Résumé
Fire spread research is multi-objective. Foresters are usually interested in obtaining reusable pragmatic information on: fire dynamics, vegetation inflammability, the impacts of forest fires on vegetation, etc. Physicists rigorously study the physics-based mechanisms involved in fire spreading. Using the terms and the models of thermodynamics, their aim is to fully understand what is a fire and how does it spread. Chemists focus on fuel and gas properties (not on the dynamics of fire spread.) Computer scientists usually implement the numerical solutions of mathematical continuous equations and/or manage data-bases of experiments and simulation results. They can also build models on their own through mathematical analogues without any physical or chemical foundations (mainly ellipses or cellular automata.) Every discipline develops idiosyncratic models, which avoid (or make difficult) interdisciplinary collaborations and lead to a dispersal of research efforts. Our scope here is to discuss the modeling contribution of each discipline involved in this study. The main mechanisms (mass loss in chemistry and heat transfer in physics) are embedded in an original simulation model. Mass loss is studied in detail and an original model is presented. The modeling of heat transfers is achieved through mathematical analogues inspired from physics. In ecological modeling, occurrence risks and impacts of fires on vegetation are usually statistically analyzed. Here, both structure and behavior of fire spreading are explicitly described in time through a simulation model.