Based on an artificial compressibility method, the explicit Runge-Kutta time stepping finite difference algorithm was applied to steady, incompressible, Navier-Stokes equations. A two-dimensional analysis computer code in a generalized curvilinear coordinate system was developed and its accuracy has been compared to known numerical solutions. The algorithm has been accelerated using our new Distributed Minimal Residual (DMR) method, which allows each equation in the system to advance in time with its own optimal speed. The effectiveness of the DMR method was examined for a number of test cases. The accelerated algorithm offers substantial savings of the computing time.
