A collocated finite volume scheme to solve free convection for general non-conforming grids

Abstract : We present a new collocated numerical scheme for the approximation of the Navier-Stokes and energy equations under the Boussinesq assumption for general grids, using the velocity-pressure unknowns. This scheme is based on a recent scheme for the diffusion terms. Stability properties are drawn from particular choices for the pressure gradient and the non-linear terms. Numerical results show the accuracy of the scheme on irregular grids.
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Submitted on : Monday, October 6, 2008 - 2:48:10 PM
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Eric Chénier, Robert Eymard, Raphaele Herbin. A collocated finite volume scheme to solve free convection for general non-conforming grids. Journal of Computational Physics, Elsevier, 2009, 228 (6), pp.2296-2311. ⟨10.1016/j.jcp.2008.10.034⟩. ⟨hal-00280822v2⟩

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