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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