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

Eric Chénier (1) , Robert Eymard (1) , Raphaele Herbin (2)

1 LETEM - Laboratoire d'Etudes des Transferts d'Energie et de Matière
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités

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.

Mots clés: Collocated finite volume schemes; general non-conforming grids; Navier-Stokes Equations; Boussinesq assumption

Domaines: Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Eric Chénier, Robert Eymard, Raphaele Herbin. A collocated finite volume scheme to solve free convection for general non-conforming grids. Journal of Computational Physics, 2009, 228 (6), pp.2296-2311. ⟨10.1016/j.jcp.2008.10.034⟩. ⟨hal-00280822v2⟩