USE OF THE MOMENTUM INTERPOLATION METHOD FOR NUMERICAL SOLUTION OF INCOMPRESSIBLE FLOWS IN COMPLEX GEOMETRIES: CHOOSING CELL FACE VELOCITIES

Abstract

The momentum interpolation method developed by Rhie and Chow [1rsqb; is further refined and extended to employ the curvilinear covariant velocity components as cell face velocities. The related pressure-velocity coupling technique is described. The relative performances of the proposed scheme and of the scheme based on the contravariant cell face velocities are examined through applications to several test problems. The present scheme, based on the covariant cell face velocities, always provides simple and diagonal-dominant pressure and pressure-correction equations and shows good convergence and stability behavior even in a strongly nonorthogonal grid situation.