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dc.creatorArrarás Ventura, Andréses_ES
dc.creatorGaspar, F. J.es_ES
dc.creatorPortero Egea, Lauraes_ES
dc.creatorRodrigo, C.es_ES
dc.date.accessioned2020-01-07T12:20:40Z
dc.date.issued2019
dc.identifier.issn0898-1221
dc.identifier.urihttps://hdl.handle.net/2454/35994
dc.description.abstractIn this paper, we present a monolithic multigrid method for the efficient solution of flow problems in fractured porous media. Specifically, we consider a mixed-dimensional model which couples Darcy flow in the porous matrix with Forchheimer flow within the fractures. A suitable finite volume discretization permits to reduce the coupled problem to a system of nonlinear equations with a saddle point structure. In order to solve this system, we propose a full approximation scheme (FAS) multigrid solver that appropriately deals with the mixed-dimensional nature of the problem by using mixed-dimensional smoothing and inter-grid transfer operators. Numerical experiments show that the proposed multigrid method is robust with respect to the fracture permeability, the Forchheimer coefficient and the mesh size. The case of several possibly intersecting fractures in a heterogeneous porous medium is also discussed.en
dc.description.sponsorshipFrancisco J. Gaspar has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 705402, POROSOS. The work of Carmen Rodrigo is supported in part by the FEDER / MINECO, Spain project MTM2016-75139-R. The work of Andrés Arrarás and Laura Portero is supported in part by the FEDER / MINECO, Spain projects MTM2014-52859-P and MTM2016-75139-R.en
dc.format.extent23 p.
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherElsevieren
dc.relation.ispartofComputers and Mathematics with Applications 78 (2019) 3139-3151en
dc.rights© 2019 Elsevier Ltd. This manuscript version is made available under the CC-BY-NC-ND 4.0.en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectDarcy–Forchheimeren
dc.subjectFinite volumesen
dc.subjectFractured porous mediaen
dc.subjectGeometric multigriden
dc.titleGeometric multigrid methods for Darcy–Forchheimer flow in fractured porous mediaen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentUniversidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticases_ES
dc.contributor.departmentNafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Sailaeu
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen
dc.rights.accessRightsAcceso embargado / Sarbidea bahitua dagoes
dc.embargo.lift2021-11-01
dc.embargo.terms2021-11-01
dc.identifier.doi10.1016/j.camwa.2019.04.031
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/MTM2016-75139-Ren
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/MTM2014-52859-Pen
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/705402/en
dc.relation.publisherversionhttps://doi.org/10.1016/j.camwa.2019.04.031
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.type.versionVersión aceptada / Onetsi den bertsioaes


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© 2019 Elsevier Ltd. This manuscript version is made available under the CC-BY-NC-ND 4.0.
Except where otherwise noted, this item's license is described as © 2019 Elsevier Ltd. This manuscript version is made available under the CC-BY-NC-ND 4.0.