no. 2
Numerical simulation of a point-source initiated flame ball with heat losses
ESAIM: Modélisation mathématique et analyse numérique, Tome 36 (2002) no. 2, pp. 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 : 10.1051/m2an:2002017
Classification : 35A40, 45J05, 65M12
Keywords: flame ball, integro-differential equation, time discretisation, numerical quenching 
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     title = {Numerical simulation of a point-source initiated flame ball with heat losses},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
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     year = {2002},
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Audounet, Jacques; Roquejoffre, Jean-Michel; Rouzaud, Hélène. Numerical simulation of a point-source initiated flame ball with heat losses. ESAIM: Modélisation mathématique et analyse numérique, Tome 36 (2002) no. 2, pp. 273-291. doi: 10.1051/m2an:2002017

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