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

作者：Chenier Eric^*; Eymard Robert; Herbin Raphaele

来源：Journal of Computational Physics, 2009, 228(6): 2296-2311.

DOI：10.1016/j.jcp.2008.10.034

• Collocated finite volume schemes
• General non-conforming grids
• Navier-Stokes equations
• Boussinesq assumption

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. Convergence of the approximate solutions may be proven mathematically. Numerical results show the accuracy of the scheme on irregular grids.

• 出版日期2009-4-1