Geodesic
Numerical simulation of a point-source initiated flame ball with heat losses
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 36 (2002) no. 2, pp. 273-291 Cet article a éte moissonné depuis la source Numdam

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This article is devoted to the numerical study of a flame ball model, derived by Joulin, which obeys to a singular integro-differential equation. The numerical scheme that we analyze here, is based upon a one step method, and we are interested in its long-time behaviour. We recover the same dynamics as in the continuous case: quenching, or stabilization of the flame, depending on heat losses, and an energy input parameter.

DOI : 10.1051/m2an:2002017
Classification : 35A40, 45J05, 65M12
Keywords: flame ball, integro-differential equation, time discretisation, numerical quenching 
@article{M2AN_2002__36_2_273_0,
     author = {Audounet, Jacques and Roquejoffre, Jean-Michel and Rouzaud, H\'el\`ene},
     title = {Numerical simulation of a point-source initiated flame ball with heat losses},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {273--291},
     year = {2002},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {2},
     doi = {10.1051/m2an:2002017},
     mrnumber = {1906818},
     zbl = {1025.80007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002017/}
}
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%A Roquejoffre, Jean-Michel
%A Rouzaud, Hélène
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Audounet, Jacques; Roquejoffre, Jean-Michel; Rouzaud, Hélène. Numerical simulation of a point-source initiated flame ball with heat losses. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 36 (2002) no. 2, pp. 273-291. doi: 10.1051/m2an:2002017

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