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Pré-Publication, Document De Travail Année : 2008

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

Résumé

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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Dates et versions

hal-00280822 , version 1 (19-05-2008)
hal-00280822 , version 2 (06-10-2008)

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Raphaele Herbin, Robert Eymard, Eric Chénier. A collocated finite volume scheme to solve free convection for general non-conforming grids. 2008. ⟨hal-00280822v1⟩
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