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 stati onary incompressible Navier-Stokes equations in bounded domain is stud ied. The method applies to the framework proposed in a recent author's work, for the solution of these equations expressed in terms of the s tream function and the harmonic and zero boundary trace components of the vorticity. The corresponding algorithm allows the uncoupled comput ation of the three unknown functions al each iteration, and converges under the assumption that the Reynolds number is sufficiently low.