Volume 36, Number 2, March/April 2002
|Page(s)||273 - 291|
|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. email@example.com.
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.