Comparison of Different Schemes for Convection Modeling of Incompressible Flow Equations on Unstructured Grids

In this paper, effects of different modeling of cell-face velocities in convection term on accuracy and convergence behavior of the solution arestudied. Three different upwind schemes, namely first order mass weighted upwind scheme, second order mass weighted upwind schemeand the modified version of physical influence scheme are used for modeling of convected velocities. Discussions are focused on the collocated scheme of Karimian and Schneider in the context of control volume finite element method. The modified version of this scheme, proposed by Alisadeghiand Karimian, has been used for modeling ofmass conserving velocities in the present paper. Results of this method, then are compared with the results of pressure weighted interpolation method of Rhie and Chow. The steady-state flow in a two-dimensional driven cavity is studied for the comparison and validation of the numerical results. In general, the physical influence scheme givesthe best accuracy among the three schemes.