On the stream function‐vorticity finite element solutions of Navier‐Stokes equations

The stream function-vorticity method for solving Navier-Stokes equations with finite elements is often disregarded in view of the necessity of an iterative proceudre for satisfying the boundary conditions. The present work shows briefly that such iterations are unnecessary. Sample solutions for flows in a square cavity and in a channel with a step show good agreement with existing solutions.