Abstract
A full approximation scheme (FAS), nonlinear multigrid algorithm is considered for the solution of the incompressible steady-state Navier-Stokes and continuity equations in a rotating cylindrical-polar coordinate system; the specific problem being that of laminar source-sink flow between corotating discs. The pressure correction iteration is analysed as a smoother of the momentum and continuity equations, and an extended pressure correction scheme, modified for this problem, is used as the smoother for the multigrid algorithm. Also used are sequences of nonuniform, staggered grids for the primitive variables. Results are given for rotational Reynolds numbers in the range 2 · 5 × 10 3−2 · 5 × 10 4 and the performance of the nonlinear multigrid algorithm is compared with that of the extended pressure correction method and also to the performance of the same pressure correction method incorporating a multigrid algorithm as a linear solver.
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