A Robust and Entropy-Satisfying Numerical Scheme for Fluid Flows in Discontinuous Nozzles

Abstract : We propose in this work an original finite volume scheme for the system of gas dynamics in a nozzle. Our numerical method is ased on a piecewise constant discretization of the cross-section and on a approximate Riemann solver in the sense of Harten, Lax and van Leer. The solver is obtained by the use of a relaxation approximation that leads to a positive and entropy satisfying numerical scheme for all variation of section, even discontinuous with arbitrary large jumps. To do so, we introduce in the first step of the relaxation solver a singular dissipation measure superposed on the standing wave which enables us to control the approximate speeds of sound and thus, the time step, even for extreme initial data.
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Contributeur : Khaled Saleh <>
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Dernière modification le : lundi 16 juillet 2018 - 11:58:02
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  • HAL Id : hal-00795446, version 2

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Frédéric Coquel, Khaled Saleh, Nicolas Seguin. A Robust and Entropy-Satisfying Numerical Scheme for Fluid Flows in Discontinuous Nozzles. 39 pages. 2013. 〈hal-00795446v2〉

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