Application of GDQ scheme to solve incompressible navier-stokes equations in the curvilinear coordinate system

Abstract

In this paper, a global method of generalized differential quadrature (GDQ) is applied to solve the two-dimensional incompressible Navier-Stokes equations in the curvilinear coordinate system. The vorticity-stream function formulation was used. Numerical results for a smooth expansion channel flow demonstrated that accurate numerical results can be obtained using a considerably small number of grid points.