ITERATIVE SOLUTION OF THE STATIONARY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN STREAM FUNCTION-VORTICITY FORMULATION

In this Note an iterative method for solving the two-dimensional stationary incompressible Navier-Stokes equations in bounded domain is studied. The method applies to the framework proposed in a recent author's work, for the solution of these equations expressed in terms of the stream function and the harmonic and zero boundary trace components of the vorticity. The corresponding algorithm allows the uncoupled computation of the three unknown functions al each iteration, and converges under the assumption that the Reynolds number is sufficiently low.