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Note on the determination of the ignition point in forest fires propagation using a control algorithm

Michel Bergmann 1, 2, * Olivier Séro-Guillaume 3 Sepehr Ramezani 3
* Corresponding author
2 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
Abstract : This paper is devoted to the determination of the origin point in forest fires propagation using a control algorithm. The forest fires propagation are mathematically modelled starting from a reaction diffusion model. A volume of fluid (V.O.F.) formulation is also used to determine the fraction of the area which is burnt. After having developed the objective functional and its derivative, results from an optimization process based on the simplex method is presented. It is shown that the ignition point and the final time of the fire propagation are precisely recovered, even for a realistic, non-horizontal, terrain
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Submitted on : Friday, November 14, 2008 - 11:38:15 AM
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Michel Bergmann, Olivier Séro-Guillaume, Sepehr Ramezani. Note on the determination of the ignition point in forest fires propagation using a control algorithm. Communications in Numerical Methods in Engineering, Wiley, 2008, 24, pp.879-896. ⟨10.1002/cnm.990⟩. ⟨inria-00338759⟩

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