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Flux-vector splitting for the Euler equations for real gases. (English) Zbl 0669.76091

The 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 theory)
35Q30 Navier-Stokes equations
65N99 Numerical methods for partial differential equations, boundary value problems

Citations:

Zbl 0543.76001
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References:

[1] Van Leer, B., Flux-Vector Splitting for the Euler Equations, (Lecture Notes in Physics, Vol. 170 (1982), Springer Verlag: Springer Verlag New York/Berlin), 507
[2] Montagne, J. L., (Researches Fondamentales Sur Des Methods De Calcul Pour Des Ecoulements Supersoniques Et Hypersoniques. Researches Fondamentales Sur Des Methods De Calcul Pour Des Ecoulements Supersoniques Et Hypersoniques, ONERA Final Report 23/1285 AY (December 1985))
[3] W. D. Arnett, B. Fryxell, and E. Mijller, “Numerical Methods in Astrophysics” in Computational Techniques, edited by Paul Woodward, (Academic Press), in press.; W. 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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