A Multigrid Treatment of Stream Function Normal Derivative Boundary Conditions
Numerical treatments of two-dimensional viscous flow commonly discretise the stream function normal derivative boundary conditions in terms of a boundary vorticity. We investigate four methods of relaxing such a boundary condition, within the context of a multigrid treatment employing pointwise relaxation of the steady creeping flow within a driven capacity. For each method, we calculate the average error reduction factor per multigrid iteration, and in some cases are able to obtain ideal values characteristic of the interior problem.
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