Mixed-dimensional geometric multigrid methods for single-phase flow in fractured porous media

Arrarás Ventura, Andrés; Gaspar, F. J.; Portero Egea, Laura; Rodrigo, C.

Publication:
Mixed-dimensional geometric multigrid methods for single-phase flow in fractured porous media

dc.contributor.author	Arrarás Ventura, Andrés
dc.contributor.author	Gaspar, F. J.
dc.contributor.author	Portero Egea, Laura
dc.contributor.author	Rodrigo, C.
dc.contributor.department	Estadística, Informática y Matemáticas	es_ES
dc.contributor.department	Estatistika, Informatika eta Matematika	eu
dc.date.accessioned	2020-05-29T07:13:45Z
dc.date.available	2020-05-29T07:13:45Z
dc.date.issued	2019
dc.description.abstract	This paper deals with the efficient numerical solution of single-phase flow problems in fractured porous media. A monolithic multigrid method is proposed for solving two-dimensional arbitrary fracture networks with vertical and/or horizontal possibly intersecting fractures. The key point is to combine two-dimensional multigrid components (smoother and intergrid transfer operators) in the porous matrix with their one-dimensional counterparts within the fractures, giving rise to a mixed-dimensional geometric multigrid method. This combination seems to be optimal since it provides an algorithm whose convergence matches the multigrid convergence factor for solving the Darcy problem. Several numerical experiments are presented to demonstrate the robustness of the monolithic mixed-dimensional multigrid method with respect to the permeability of the fractures, the grid size, and the number of fractures in the network.	en
dc.description.sponsorship	The work of the first and fourth authors was supported by Spanish project PGC2018-099536-A-I00 (MCIU/AEI/FEDER, UE). The work of the second author was supported by the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreement 705402, POROSOS. The work of the third author was partially supported by the Spanish project FEDER/MCYT MTM2016-75139-R. The work of the fourth author was supported by the DGA (Grupo de referencia APEDIF, ref. E24 17R).	en
dc.format.extent	33 p.
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.1137/18M1224751
dc.identifier.issn	1064-8275
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/37004
dc.language.iso	eng	en
dc.publisher	SIAM	en
dc.relation.ispartof	SIAM Journal on Scientific Computing, 2019, 41 (5), B1082-B1114	en
dc.relation.projectID	info:eu-repo/grantAgreement/ES/1PE/MTM2016-75139-R	en
dc.relation.projectID	info:eu-repo/grantAgreement/European Commission/Horizon 2020 Framework Programme/705402	en
dc.relation.publisherversion	https://doi.org/10.1137/18M1224751
dc.rights	© 2019 Society for Industrial and Applied Mathematics	en
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.subject	Fracture network	en
dc.subject	Fractured porous media	en
dc.subject	Monolithic multigrid method	en
dc.subject	Single-phase flow	en
dc.subject	Vanka smoother	en
dc.title	Mixed-dimensional geometric multigrid methods for single-phase flow in fractured porous media	en
dc.type	info:eu-repo/semantics/article
dc.type.version	info:eu-repo/semantics/publishedVersion	en
dc.type.version	Versión publicada / Argitaratu den bertsioa	es
dspace.entity.type	Publication
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