A collocated finite volume scheme to solve free convection for general non-conforming grids
For computational fluid dynamics researchers, this scheme extends stable and accurate simulation capabilities to complex grid geometries, though it is an incremental improvement over existing methods.
The paper presents a new collocated finite volume scheme for solving free convection problems on general non-conforming grids, achieving accuracy on irregular grids.
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.