Preliminary results on an extension of Roe's approximate Riemann solver to nonequilibrium flows

Remi Abgrall 1
1 SINUS - Numerical Simulation for the Engineering Sciences
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : In this paper, we develop a generalisation of Roe's Riemann solver to the case of a mixture of perfect gases whose equation of state contains vibrational terms. Moreover, we assume that all species are at thermal equilibrium and that the temperatures of translation and vibration are the same. Then, we develop a semi-implicit scheme for the resolution of 1D problems for flows which are out of the chemical equilibrium. The Riemann solver to be used is the extension of Roe's solver which has been defined at the beginning of this report. In the last section, some shock tube problems are studied, they show the capacity of this method to solve such problems.
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Rapport
[Research Report] RR-0987, INRIA. 1989, pp.39
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Soumis le : mercredi 24 mai 2006 - 18:30:38
Dernière modification le : jeudi 11 janvier 2018 - 16:31:51
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Remi Abgrall. Preliminary results on an extension of Roe's approximate Riemann solver to nonequilibrium flows. [Research Report] RR-0987, INRIA. 1989, pp.39. 〈inria-00075572〉

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