Monolithic multigrid method for the coupled Stokes flow and deformable porous medium system

DOI10.1016/j.jcp.2017.09.062zbMath1380.76142OpenAlexW2761829377MaRDI QIDQ1701274

Carmen Rodrigo, Peiyao Luo, Cornelis W. Oosterlee, Francisco José Gaspar

Publication date: 22 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/27013

zbMATH Keywords

multigrid methodcoupled systemStokes equationsinterface conditionslocal Fourier analysisUzawa smootherVanka smootherporoelastic equations

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12)

Related Items (7)

A consistent computational approach for general fluid-poroelasticity-structure-contact interaction problems ⋮ An enriched Galerkin method for the Stokes equations ⋮ A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity ⋮ Geometric multigrid methods for Darcy-Forchheimer flow in fractured porous media ⋮ Tuning Multigrid Methods with Robust Optimization and Local Fourier Analysis ⋮ Mixed-Dimensional Geometric Multigrid Methods for Single-Phase Flow in Fractured Porous Media ⋮ A Generalized and Unified Framework of Local Fourier Analysis Using Matrix-Stencils

Uses Software

• LFA

Cites Work

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• Iterative Solution Methods
• On an Uzawa smoother in multigrid for poroelasticity equations
• Uzawa Smoother in Multigrid for the Coupled Porous Medium and Stokes Flow System

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