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. firstname.lastname@example.org.
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