FLUX-DIFFERENCE SPLITTING FOR 3-DIMENSIONAL STEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN CURVILINEAR COORDINATES

A collocated discretization of the 3D steady incompressible Navier-Sto kes equations based on a flux-difference-splitting formulation is pres ented. The discretization employs primitive variables of Cartesian vel ocity components and pressure. The splitting used here is a polynomial splitting introduced by Dick and Linden of Roe type. Second-order acc uracy is obtained with the defect correction approach in which the sta te vector is interpolated with van Leer's K-scheme. The underlying sol ution technique to solve the discretized equations is a parallel multi block multigrid method. Several 2D and 3D test problems such as driven cavity and channel flows are solved.