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Solution of the Euler Equations Around a Double Ellipsoidal Shape Using Unstructured Meshes and Including Real Gas Effects

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Abstract

We present the numerical solution of the Euler equations of gas dynamics around the double ellipsoidal shape proposed by the organizers of the Antibes 1990 workshop. In two of the test cases we consider a modelization of air by a polytropic perfect gas, at an upstream Mach number M = 8.15, and under incidences α = 0° and 30° (problems 6.1.5 and 6.1.7). The last test case is related to hypersonic regimes (M = 25, α = 30°) and the air is therefore described as a real gas at chemical equilibrium (problem 6.3.9).

In the first part of this paper we describe our three-dimensional Euler computing code named CEL3GR developed at AEROSPATIALE Les Mureaux since 1987. In the second part, we present the generation of our two box mesh around the double ellipsoid and we emphasize on the approximation of the nontrivial line of intersection. The third part is devoted to the numerical results for each test case.

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© 1991 Springer-Verlag Berlin Heidelberg

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Dubois, F., Michaux, O. (1991). Solution of the Euler Equations Around a Double Ellipsoidal Shape Using Unstructured Meshes and Including Real Gas Effects. In: Désidéri, JA., Glowinski, R., Périaux, J. (eds) Hypersonic Flows for Reentry Problems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76527-8_28

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  • DOI: https://doi.org/10.1007/978-3-642-76527-8_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76529-2

  • Online ISBN: 978-3-642-76527-8

  • eBook Packages: Springer Book Archive

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