Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations

Abstract. Flux Vector Splitting (FVS) scheme is one group of approximate Riemann solvers for the compressible Euler equations. In this paper, the discretized entropy condition of the Kinetic Flux Vector Splitting (KFVS) scheme based on the gas-kinetic theory is proved. The proof of the entropy condition involves the entropy difference between the distinguishable and indistinguishable particles.

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