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Agglomeration multigrid for two-dimensional viscous flows. (English) Zbl 0846.76047
A Galerkin coarse grid operator and an implicit prolongation operator are proposed. Their suitability is evaluated by examining their effect on the solution of Laplace’s equation. The resulting strategy is employed to solve the Reynolds-averaged Navier-Stokes equations for aerodynamic flows. Convergence rates comparable to those obtained by a previously developed non-nested mesh multigrid approach are demonstrated, and suggestions for further improvements are given.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76F10 Shear flows and turbulence
Software:
Wesseling
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