Numerical simulation of a point-source initiated flame ball with heat losses
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 36 (2002) no. 2, p. 273-291
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 : https://doi.org/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 - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {2},
     year = {2002},
     pages = {273-291},
     doi = {10.1051/m2an:2002017},
     zbl = {1025.80007},
     mrnumber = {1906818},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2002__36_2_273_0}
}
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 - Modélisation Mathématique et Analyse Numérique, Volume 36 (2002) no. 2, pp. 273-291. doi : 10.1051/m2an:2002017. http://www.numdam.org/item/M2AN_2002__36_2_273_0/

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