Numerical solutions of 2-D steady incompressible flow in a driven skewed cavity

Abstract

The benchmark test case for non-orthogonal grid mesh, the driven skewed cavity flow, first introduced by Demirdzic et al. [5] for skew angles of a = 30 degrees and a = 45 degrees, is reintroduced with a more variety of skew angles. The benchmark problem has non-orthogonal, skewed grid mesh with skew angle (a). The governing 2-D steady incompressible Navier-Stokes equations in general curvilinear coordinates are solved for the solution of driven skewed cavity flow with non-orthogonal grid mesh using a numerical method which is efficient and stable even at extreme skew angles. Highly accurate numerical solutions of the driven skewed cavity flow, solved using a fine grid (512 x 512) mesh, are presented for Reynolds number of 100 and 1000 for skew angles ranging between 15 degrees <= alpha <= 165 degrees. (C) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.