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

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

2008-05-20

arxiv.org/abs/0805.3011v2

Mathematics

Numerical Analysis

Scientific paper

10.1016/j.jcp.2008.10.034

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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