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A simple second-order cartesian scheme for compressible flows

yannick Gorsse 1, 2 Angelo Iollo 1, 2 Lisl Weynans 1, 2 
2 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
Abstract : A simple second order scheme for compressible inviscid flows on cartesian meshes is presented. An appropriate Rieman solver is used to impose the impermeability condition. The level set function defines the immersed body and provides some useful geometrical data to increase the scheme accuracy. A modification of the convective fluxes computation for the cells near the solid ensures the boundary condition at second order accuracy. The same procedure is performed in each direction independently. An application to the simulation of a Ringleb flow is presented to demonstrate the accuracy of the method.
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yannick Gorsse, Angelo Iollo, Lisl Weynans. A simple second-order cartesian scheme for compressible flows. Finite Volumes for Complex Applications VI, Jaroslav Fořt, Jiří Fürst, and Jan Halama, Jun 2011, Prag, Czech Republic. ⟨hal-00840339⟩

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