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Part II. Comparison of Numerical Solvers for a Multicomponent Turbulent Flow
Authors:Emmanuelle Declercq  Alain Forestier†  Jean-Marc Hérard‡  Xavier Louis¶  Gérard Poissant§
Institution:1. C.E.A. Saclay, DRN/DMT/SEMT , 91191, Gif-Sur-Yvette Cedex, France xeuxet@iup.univ-evry.fr;3. C.E.A. Saclay, DRN/DMT/SEMT , 91191, Gif-Sur-Yvette Cedex, France;4. C.M.I UMR CNRS, Université de Provence , 39 rue Joliot Curie, Marseille, 13453, France;5. C.E.M.I.F., I.U.T. G.M.P. , 3 cours Mgr Roméro, 91020, Evry Cedex, France
Abstract:We focus on the computation of a hyperbolic system describing a multicomponent turbulent flow for isentropic gases, using an exact Riemann solver. This method is very robust, but costly. Thus, we introduce two approximate upwinding schemes: a Godunov scheme called VFRoe and a Rusanov scheme. The Rusanov scheme always ensures positive values for mass, concentration and turbulent kinetic energy, but generates less accurate results. We show some one- and two-dimensional computations and compare these three resolution methods.
Keywords:Multicomponent turbulent flow  Godunov scheme  Rusanov scheme  Linearized solvers
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