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BibTeX  EndNote  TEI  RefWorks %% inria-00338759, version 1 %% http://hal.inria.fr/inria-00338759/en/ @article{BERGMANN:2008:INRIA-00338759:1, title = { {N}ote on the determination of the ignition point in forest fires propagation using a control algorithm}, author = {{B}ergmann, {M}ichel and {S}{\'e}ro-{G}uillaume, {O}livier and {R}amezani, {S}epehr}, abstract = {{T}his paper is devoted to the determination of the origin point in forest fires propagation using a control algorithm. {T}he 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. {A}fter having developed the objective functional and its derivative, results from an optimization process based on the simplex method is presented. {I}t is shown that the ignition point and the final time of the fire propagation are precisely recovered, even for a realistic, non-horizontal, terrain}, keywords = {forest fire; reaction diffusion model; optimization}, language = {{E}nglish}, affiliation = {{I}nstitut de {M}ath{\'e}matiques de {B}ordeaux - {IMB} - {CNRS} : {UMR}5251 - {U}niversit{\'e} {S}ciences et {T}echnologies - {B}ordeaux {I} - {U}niversit{\'e} {V}ictor {S}egalen - {B}ordeaux {II} - {MC}2 - {INRIA} {B}ordeaux - {S}ud-{O}uest - {INRIA} - {U}niversit{\'e} {S}ciences et {T}echnologies - {B}ordeaux {I} - {U}niversit{\'e} {V}ictor {S}egalen - {B}ordeaux {II} - {CNRS} : {UMR} - {L}aboratoire d'{\'e}nerg{\'e}tique et de m{\'e}canique th{\'e}orique et appliqu{\'e}e - {LEMTA} - {CNRS} : {UMR}7563 - {I}nstitut {N}ational {P}olytechnique de {L}orraine - {INPL} - {U}niversit{\'e} {H}enri {P}oincar{\'e} - {N}ancy {I} }, publisher = {{W}iley {I}nter{S}cience }, pages = {879-896 }, journal = {{C}ommunications in {N}umerical {M}ethods in {E}ngineering }, volume = {24 }, note = {{T}his research has been done under the support of the {E}uropean community, research contract ‘{PREVIEW}' no {EVG}1-{CT}-2001-00043 }, audience = {international }, doi = {10.1002/cnm.990 }, year = {2008}, URL = {http://dx.doi.org/10.1002/cnm.990 http://hal.inria.fr/inria-00338759/en/}, URL = {http://hal.inria.fr/inria-00338759/PDF/cnme.pdf}, } %F inria-00338759, version 1 %0 Journal Article %U http://hal.inria.fr/inria-00338759/en/ %2 MATH:MATH_OC %T Note on the determination of the ignition point in forest fires propagation using a control algorithm %A Bergmann, Michel %A Séro-Guillaume, Olivier %A Ramezani, Sepehr %A Bergmann, M. %A Séro-Guillaume, O. %A Ramezani, S. %A Bergmann M. et al %+ Institut de Mathématiques de Bordeaux - IMB - CNRS : UMR5251 - Université Sciences et Technologies - Bordeaux I - Université Victor Segalen - Bordeaux II - MC2 - INRIA Bordeaux - Sud-Ouest - INRIA - Université Sciences et Technologies - Bordeaux I - Université Victor Segalen - Bordeaux II - CNRS : UMR - Laboratoire d'énergétique et de mécanique théorique et appliquée - LEMTA - CNRS : UMR7563 - Institut National Polytechnique de Lorraine - INPL - Université Henri Poincaré - Nancy I %X 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 %G English %J Communications in Numerical Methods in Engineering %8 2008 %2 international %I Wiley InterScience %V 24 %P 879-896 %R 10.1002/cnm.990 %K forest fire; reaction diffusion model; optimization %2 2006 %Z This research has been done under the support of the European community, research contract ‘PREVIEW' no EVG1-CT-2001-00043 <?xml version="1.0" encoding="UTF-8"?> <listBibl xmlns="http://www.tei-c.org/ns/1.0" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML"> <listBibl type="article"><head>Articles in peer-reviewed journal</head> <biblStruct type="article" xml:id="inria-00338759"><analytic> <author><persName><forename>Michel</forename><surname>Bergmann</surname></persName> <affiliation> <orgName type="laboratory">IMB</orgName> <orgName type="team">Institut de Mathématiques de Bordeaux</orgName> <country>FR</country> <orgName type="institution">CNRS : UMR5251</orgName> <orgName type="institution">Université Sciences et Technologies - Bordeaux I</orgName> <orgName type="institution">Université Victor Segalen - Bordeaux II</orgName> </affiliation> <affiliation> <orgName type="laboratory">INRIA Bordeaux - Sud-Ouest</orgName> <orgName type="team">MC2</orgName> <country>FR</country> <orgName type="institution">INRIA</orgName> <orgName type="institution">Université Sciences et Technologies - Bordeaux I</orgName> <orgName type="institution">Université Victor Segalen - Bordeaux II</orgName> <orgName type="institution">CNRS : UMR</orgName> </affiliation> </author> <author><persName><forename>Olivier</forename><surname>Séro-Guillaume</surname></persName> <affiliation> <orgName type="laboratory">LEMTA</orgName> <orgName type="team">Laboratoire d'énergétique et de mécanique théorique et appliquée</orgName> <country>FR</country> <orgName type="institution">CNRS : UMR7563</orgName> <orgName type="institution">Institut National Polytechnique de Lorraine - INPL</orgName> <orgName type="institution">Université Henri Poincaré - Nancy I</orgName> </affiliation> </author> <author><persName><forename>Sepehr</forename><surname>Ramezani</surname></persName> <affiliation> <orgName type="laboratory">LEMTA</orgName> <orgName type="team">Laboratoire d'énergétique et de mécanique théorique et appliquée</orgName> <country>FR</country> <orgName type="institution">CNRS : UMR7563</orgName> <orgName type="institution">Institut National Polytechnique de Lorraine - INPL</orgName> <orgName type="institution">Université Henri Poincaré - Nancy I</orgName> </affiliation> </author> <title type="main" level="a">Note on the determination of the ignition point in forest fires propagation using a control algorithm</title></analytic><monogr><title level="j" type="main">Communications in Numerical Methods in Engineering</title><imprint><publisher>Wiley InterScience</publisher><biblScope type="publicationDate">2008</biblScope><biblScope type="vol">24</biblScope><biblScope type="pp">879-896</biblScope></imprint></monogr><idno type="doi">10.1002/cnm.990</idno><idno type="HALid">http://hal.inria.fr/inria-00338759/en/</idno><idno type="HALFile">http://hal.inria.fr/inria-00338759/PDF/cnme.pdf</idno></biblStruct> </listBibl> </listBibl>

Note on the determination of the ignition point in forest fires propagation using a control algorithm Michel Bergmann (  Author to contact preferably , ) 1, 2, Olivier Séro-Guillaume 3, Sepehr Ramezani 3 (2008)

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Communications in Numerical Methods in Engineering 24 (2008) 879-896

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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

1:	Institut de Mathématiques de Bordeaux (IMB)
	CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
2:	MC2 (INRIA Bordeaux - Sud-Ouest)
	INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – CNRS : UMR
3:	Laboratoire d'énergétique et de mécanique théorique et appliquée (LEMTA)
	CNRS : UMR7563 – Institut National Polytechnique de Lorraine - INPL – Université Henri Poincaré - Nancy I

Domain

:

Mathematics/Optimization and Control

Keywords : forest fire – reaction diffusion model – optimization

DOI : 10.1002/cnm.990

inria-00338759, version 1

http://hal.inria.fr/inria-00338759/en/

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From: Michel Bergmann <>

Submitted on: Friday, 14 November 2008 11:38:15

Updated on: Saturday, 15 November 2008 14:02:32