Open AccessNote on the determination of the ignition point in forest fires propagation using a control algorithm
Author(s) -
Bergmann M.,
SéroGuillaume O.,
Ramezani S.
Publication year - 2008
Publication title -
communications in numerical methods in engineering
Language(s) - English
Resource type - Journals
eISSN - 1099-0887
pISSN - 1069-8299
DOI - 10.1002/cnm.990
Subject(s) - ignition system , terrain , point (geometry) , derivative (finance) , algorithm , simplex algorithm , diffusion , process (computing) , computer science , mathematics , geometry , physics , geography , thermodynamics , cartography , linear programming , financial economics , economics , operating system
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. Copyright © 2007 John Wiley & Sons, Ltd.