Flux-vector splitting for the Euler equations for real gases.

*(English)*Zbl 0669.76091The flux-vector splitting for the Euler equations of compressible flow with the ideal-gas law used as equation of state was derived by B. van Leer [in: Eighth intern. conf. on num. methods in fluid dynamics. (ed. by E. Krause), Lecture Notes in Physics 170 (1982; Zbl 0543.76001); p. 507] to approximate the hyperbolic system of conservation laws with so-called upwind differences. In this note we present the extension of the flux-vector splitting for the Euler equations of compressible flow with an arbitrary equation of state.

##### MSC:

76N15 | Gas dynamics, general |

35Q30 | Navier-Stokes equations |

65N99 | Numerical methods for partial differential equations, boundary value problems |

##### Keywords:

flux-vector splitting; Euler equations of compressible flow; ideal-gas law; equation of state; hyperbolic system of conservation laws; upwind differences
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##### References:

[1] | Van Leer, B., Flux-vector splitting for the Euler equations, (), 507 |

[2] | Montagne, J.L., () |

[3] | \scW. D. Arnett, B. Fryxell, and E. Mijller, “Numerical Methods in Astrophysics” in Computational Techniques, edited by Paul Woodward, (Academic Press), in press. |

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