Simultaneous variable solutions of the incompressible steady Navier-Stokes equations in general curvilinear coordinate systems

The simultaneous variable solution technique of Bentson and Vradis (1987) for incompressible steady Navier-Stokes equations is extended to general curvilinear orthogonal and nonorthogonal coordinate systems. The formulation is fully second order accurate. Using this technique, flows in channels of different geometries were computed and the results were compared to available literature data. It is shown that the method is accurate, robust, and computationally efficient.