A collocated finite volume scheme to solve free convection for general non-conforming grids
arXiv:0805.3011 · doi:10.1016/j.jcp.2008.10.034
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.
Cited by in corpus (3)
- A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods
- Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces
- Convergence analysis of a cell centered finite volume diffusion operator on non-orthogonal polyhedral meshes