A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows |
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Authors: | Richard Saurel,R mi Abgrall |
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Affiliation: | IUSTI, CNRS UMR 6595, 5 rue Enrico Fermi, Marseille Cedex 13, 13453, Francef1;Université de Bordeaux I, 351 cours de la Libération, Talence, 33405, France, f2 |
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Abstract: | We propose a new model and a solution method for two-phase compressible flows. The model involves six equations obtained from conservation principles applied to each phase, completed by a seventh equation for the evolution of the volume fraction. This equation is necessary to close the overall system. The model is valid for fluid mixtures, as well as for pure fluids. The system of partial differential equations is hyperbolic. Hyperbolicity is obtained because each phase is considered to be compressible. Two difficulties arise for the solution: one of the equations is written in non-conservative form; non-conservative terms exist in the momentum and energy equations. We propose robust and accurate discretisation of these terms. The method solves the same system at each mesh point with the same algorithm. It allows the simulation of interface problems between pure fluids as well as multiphase mixtures. Several test cases where fluids have compressible behavior are shown as well as some other test problems where one of the phases is incompressible. The method provides reliable results, is able to compute strong shock waves, and deals with complex equations of state. |
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Keywords: | Abbreviations: multiphase flowsAbbreviations: hyperbolic modelsAbbreviations: interfacesAbbreviations: Godunov methodsAbbreviations: non-conservative equationsAbbreviations: shock wavesAbbreviations: Eulerian methods |
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