Dependence of Qualitative Behavior of the Numerical Solutions on the Ignition Temperature for a Combustion Model
Year: 2005
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 4 : pp. 337–350
Abstract
We study the dependence of qualitative behavior of the numerical solutions (obtained by a projective and upwind finite difference scheme) on the ignition temperature for a combustion model problem with general initial condition. Convergence to weak solution is proved under the Courant-Friedrichs-Lewy condition. Some conditions on the ignition temperature are given to guarantee the solution containing a strong detonation wave or a weak detonation wave. Finally, we give some numerical examples which show that a strong detonation wave can be transformed to a weak detonation wave under some well-chosen ignition temperature.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8820
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 4 : pp. 337–350
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Detonation wave solutions Combustion model Upwind finite difference scheme.