A New Method for Constructing the Coefficients of Pressure Correction Equation for Colocated Unstructured Grids

Abstract

One of the important equations in numerical solution of Navier Stokes equations is the pressure correction equation. In this article, a new method for constructing the coefficients of this equation for colocated unstructured meshes is proposed. This method is based on momentum interpolation. The method is compared with the approach adopted in literature. The complete discretization of the Navier Stokes equations using finite volume method is presented. An algorithm similar to SIMPLE is used to evaluate the rate of convergence on two sample problem. The results show that by using rectangular grids, two methods have the same performance, but when triangular meshes are applied, the new method increases the rate of convergence.