65237 20190709135609.0 doi 10.1137/16M1076514 sideral 104078 ART-2017-104078 eng Luo, Peiyao Uzawa smoother in multigrid for the coupled porous medium and Stokes flow system 2017 Access copy available to the general public Unrestricted 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 equations by means of appropriate interface conditions. We focus on an efficient multigrid solution technique for the coupled problem, which is discretized by finite volumes on staggered grids, giving rise to a saddle 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 symmetric Gauss--Seidel smoothing for velocity components and a simple Richardson iteration for the pressure field. Since a relaxation parameter is part of a Richardson iteration, local Fourier analysis is applied to 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 fluid viscosity, which are relevant for applications. info:eu-repo/grantAgreement/ES/MICINN/MTM2013-40842-P This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 705402-poro sos info:eu-repo/grantAgreement/EC/H2020/705402/EU/Efficient numerical methods for deformable porous media. Application to carbon dioxide storage./poro sos info:eu-repo/grantAgreement/ES/DGA/PDIE info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.046 2017 MATHEMATICS, APPLIED 27 / 252 = 0.107 2017 Q1 T1 1.973 2017 Computational Mathematics 2017 Q1 Applied Mathematics 2017 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0002-1598-2831 Rodrigo, Carmen Universidad de Zaragoza (orcid)0000-0002-9777-5245 Gaspar Lorenz, Francisco José Universidad de Zaragoza Oosterlee, Cornelis W. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 39, 5 (2017), S633-S661 SIAM j. sci. comput. SIAM JOURNAL ON SCIENTIFIC COMPUTING 1064-8275 1093898 http://zaguan.unizar.es/record/65237/files/texto_completo.pdf Versión publicada 88567 http://zaguan.unizar.es/record/65237/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:65237 articulos driver 2019-07-09-12:21:40 ARTICLE