MODIFIED SIMPLE FORMULATION ON A COLLOCATED GRID WITH AN ASSESSMENT OF THE SIMPLIFIED QUICK SCHEME

Abstract

The simplified QUICK scheme (transverse curvature terms are neglected) is extended to a nonuniform, rectangular, collocated grid system for the solution of two-dimensional fluid flow problems using a vertex-based finite-volume approximation. The influence of the non-pressure gradient source term is added to the Rhie-Chow interpolation method [5], and a local-mode Fourier analysis of the modified scheme demonstrates that characteristically, it is strongly elliptic and has high-frequency damping capability, which effectively eliminates the grid-scale pressure oscillations. Within this framework, the SIMPLE iteration procedure is constructed. A comparison between the present method and the control-volume-based finite-element method (CVFEM) with vorticity-stream function formulation for free convection in a cavity indicates that the proposed scheme can be applied successfully to fluid flow and heat transfer problems.

Notes

Address correspondence to M. Mizanur Rahman, Laboratory of Applied Thermodynamics, Department of Mechanical Engineering, Helsinki University of Technology, Sahkomiehentie 4, FIN-02150, Espoo, Finland.