A collocated finite volume scheme to solve free convection for general non-conforming grids
Numerical Analysis
2009-11-13 v2 Classical Physics
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.
Keywords
Cite
@article{arxiv.0805.3011,
title = {A collocated finite volume scheme to solve free convection for general non-conforming grids},
author = {Eric Chénier and Robert Eymard and Raphaele Herbin},
journal= {arXiv preprint arXiv:0805.3011},
year = {2009}
}