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

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

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

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 \sep Navier-Stokes Equations; Boussinesq assumption

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

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