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Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations. (English) Zbl 0989.76052

Summary: Flux vector splitting (FVS) scheme is one group of approximate Riemann solvers for compressible Euler equations. In this paper, we prove a discretized entropy condition for the kinetic flux vector splitting (KFVS) scheme based on gas-kinetic theory. The proof of the entropy condition involves the entropy difference between the distinguishable and indistinguishable particles.

MSC:

76M12 Finite volume methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
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