| Issue |
ESAIM: M2AN
Volume 36, Number 2, March/April 2002
|
|
|---|---|---|
| Page(s) | 273 - 291 | |
| DOI | https://doi.org/10.1051/m2an:2002017 | |
| Published online | 15 May 2002 | |
Numerical simulation of a point-source initiated flame ball with heat losses
UFR MIG, UMR CNRS 5640, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex, France. roque@mip.ups-tlse.fr.
Received:
13
July
2001
Revised:
14
January
2002
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.
Mathematics Subject Classification: 35A40 / 45J05 / 65M12
Key words: Flame ball / integro-differential equation / time discretisation / numerical quenching.
© EDP Sciences, SMAI, 2002
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