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An Exact Riemann Solver for Multicomponent Turbulent Flow |
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| Authors: | EMMANUELLE DECLERCQ ALAIN FORESTIER JEAN-MARC HÉRARD XAVIER LOUIS GÉRARD POISSANT |
| Institution: | 1. C.E.M.I.F. , 40 rue du Pelvoux, Courcouronnes, Evry Cedex, 91020, France;2. C.E.A. Saclay, DRN/DMT/SEMT , Gif-Sur-Yvette, Cedex, 91191, France;3. E.D.F. LNH/DER , 6 quai Watier, Chatou Cedex, 78400, France;4. C.M.I UMR CNRS 6632, Université de Provence , 39 rue Joliot Curie, Marseille, Cedex, 13453;5. C.E.A. Saclay, DRN/DMT/SEMT , Gif-Sur-Yvette, Cedex, 91191, France;6. C.E.M.I.F., I.U.T. G.M.P. , 3 cours Mgr Roméro, Evry Cedex, 91020, France |
| Abstract: | The main objective of this paper is to provide some adequate way to compute the non-conservative hyperbolic system which describes a multicomponent turbulent flow. The model is written for an isentropic gas. The exact solution of the Riemann Problem (RP) associated to the hyperbolic system is exhibited. It is composed of constant states separated by rarefaction waves, or shock waves and a contact discontinuity. The selection of the admissible part of the shock curve is obtained using an entropy criterion. This entropy is the total energy of the system. Thanks to the latter, one may compute the exact solution of the Riemann problem, assuming genuinely non linear fields contain sufficiently weak shocks. |
| Keywords: | Multicomponent turbulence model Entropy characterization Riemann solver |