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Extension of Roe’s approximate Riemann solver to equilibrium and nonequilibrium flows

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Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 29))

Abstract

In this paper, we first develop a generalization of Roe’s Riemann solver to the case of a frozen mixture of perfect gases which equation of state contains vibrational terms. We assume that each species are at thermal equilibrium with the others. We then show how to obtain a class of Roe average in the thermal and chemistry equilibrium limits.

These Riemann solvers are tested on a two dimensional test case. The scheme is semi implicit for the source terms because of stiffness. The results show the capacity of these methods.

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References

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Pieter Wesseling

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© 1990 Springer Fachmedien Wiesbaden

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Abgrall, R. (1990). Extension of Roe’s approximate Riemann solver to equilibrium and nonequilibrium flows. In: Wesseling, P. (eds) Proceedings of the Eighth GAMM-Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics (NNFM), vol 29. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13975-1_1

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  • DOI: https://doi.org/10.1007/978-3-663-13975-1_1

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-07629-0

  • Online ISBN: 978-3-663-13975-1

  • eBook Packages: Springer Book Archive

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