Procedures for the solution of the Navier Stokes equations in the vorticity stream function form presented. The difficulties involved are related to the convection term in the vorticity transport equation and to the lack of boundary conditions for vorticity at no slip surfaces. The use of a streamline upwind/Petrov Galerkin finite element formulation is proposed for the solution of the vorticity transport equation. The weighting functions are dependent on spatial and temporal discretizations.
|Unknown Host Publication Title
|Pineridge Press Ltd
|Published - 1987
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