American Journal of Applied Sciences

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

R. Rafee and H. Rahimzadeh

DOI : 10.3844/ajassp.2009.93.100

American Journal of Applied Sciences

Volume 6, Issue 1

Pages 93-100

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.

Copyright

© 2009 R. Rafee and H. Rahimzadeh. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.