Lui, Shiu Hong; Xu, Kun Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations. (English) Zbl 0989.76052 Z. Angew. Math. Phys. 52, No. 1, 62-78 (2001). 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. Cited in 5 Documents 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 Keywords:kinetic flux vector splitting scheme; Maxwellian distribution; BGK scheme; discretized entropy condition; gas-kinetic theory PDFBibTeX XMLCite \textit{S. H. Lui} and \textit{K. Xu}, Z. Angew. Math. Phys. 52, No. 1, 62--78 (2001; Zbl 0989.76052) Full Text: DOI