TITLE:
Elementary Wave Interactions for the Simplified Combustion Model in Magnetogasdynamics
AUTHORS:
Yujin Liu, Wenhua Sun
KEYWORDS:
Riemann Problem, Wave Interaction, Hyperbolic Conservation Laws, Combustion, Magnetogasdynamics
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.4,
April
29,
2019
ABSTRACT: We investigate the elementary wave
interactions for the simplified combustion model in magnetogasdynamics. Under
the modified entropy conditions, we construct the unique solution and observe
some interesting phenomena; such as, the combustion wave may be extinguished by the contact discontinuity or
the shock wave. Especially, the transition between the detonation wave and the
deflagration wave is also captured.