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• W2762583146 startingPage "S633" @default.
• W2762583146 abstract "The multigrid solution of coupled porous media and Stokes flow problems is considered.The Darcy equation as the saturated porous medium model is coupled to the Stokes equationsby means of appropriate interface conditions. We focus on an efficient multigrid solution techniquefor the coupled problem, which is discretized by finite volumes on staggered grids, giving rise to asaddle point linear system. Special treatment is required regarding the discretization at the interface.An Uzawa smoother is employed in multigrid, which is a decoupled procedure based on symmetricGauss–Seidel smoothing for velocity components and a simple Richardson iteration for the pressurefield. Since a relaxation parameter is part of a Richardson iteration, local Fourier analysis is appliedto determine the optimal parameters. Highly satisfactory multigrid convergence is reported, and,moreover, the algorithm performs very well for small values of the hydraulic conductivity and fluidviscosity, which are relevant for applications." @default.
• W2762583146 created "2017-10-20" @default.
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• W2762583146 date "2017-01-01" @default.
• W2762583146 modified "2023-10-16" @default.
• W2762583146 title "Uzawa Smoother in Multigrid for the Coupled Porous Medium and Stokes Flow System" @default.
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• W2762583146 doi "https://doi.org/10.1137/16m1076514" @default.
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