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Numerical simulation of a point-source initiated flame ball with heat losses

Published online by Cambridge University Press:  15 May 2002

Jacques Audounet ,
Jean-Michel Roquejoffre  and
Hélène Rouzaud
Jacques Audounet
Affiliation:
UFR MIG, UMR CNRS 5640, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex, France. roque@mip.ups-tlse.fr.
Jean-Michel Roquejoffre
Affiliation:
UFR MIG, UMR CNRS 5640, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex, France. roque@mip.ups-tlse.fr.
Hélène Rouzaud
Affiliation:
UFR MIG, UMR CNRS 5640, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex, France. roque@mip.ups-tlse.fr.
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Abstract

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.

Keywords

Flame ballintegro-differential equationtime discretisationnumerical quenching.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 36 , Issue 2 , March 2002 , pp. 273 - 291
Copyright
© EDP Sciences, SMAI, 2002

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References

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