Finite volume scheme for the solution of fluid flow problems on unstructured non-staggered grids

Abstract

A recently developed non-staggered methodology which uses the principle of applying fourth-order dissipation to the governing pressure-correction equation is developed so it can be applied to unstructured grids. A finite volume methodology is used for discretization. The fourth-order dissipation term is found using second-order gradient operators. This makes it straightforward to incorporate the dissipation term on unstructured grids. The new methodology is compared with solutions from a standard finite volume second-order flow solver and is also tested for a standard laminar driven-lid flow problem with grids systems that do not have a uniform structure. Finally, we demonstrate how the new methodology can be used to predict flow over a wavy boundary