J. Comp. Math., 23 (2005), pp. 337-350.


Dependence Of Qualitative Behavior Of The Numerical Solutions On The Ignition Temperature For A Combustion Model

Xin-ting Zhang 1, Lung-an Ying 1

1 Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, China

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 condition on the ignition temperature is 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.

Key words: Detonation wave solutions; Combustion model; Upwind finite difference scheme.

 

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