An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems

Benedetto, Matías Fernando; Borio, Andrea; Kyburg, Felix E.; Scialò, Stefano; Mollica, Juan

Artículo de Publicación Periódica:
An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems

dc.contributor.author	Benedetto, Matías Fernando
dc.contributor.author	Borio, Andrea
dc.contributor.author	Kyburg, Felix E.
dc.contributor.author	Scialò, Stefano
dc.contributor.author	Mollica, Juan
dc.date	info:eu-repo/date/embargoEnd/2024-03-01
dc.date.accessioned	2023-01-04T14:26:53Z
dc.date.available	2023-01-04T14:26:53Z
dc.date.issued	2022-03
dc.description.abstract	"Discrete Fracture and Matrix (DFM) models describe fractured porous media as complex sets of 2D planar polygons embedded in a 3D matrix representing the surrounding porous medium. The numerical simulation of the flow in a DFM requires the discretization of partial differential equations on the three dimensional matrix, the planar fractures and the one dimensional fracture intersections, and suitable coupling conditions between entities of different dimensionality need to be added at the various interfaces to close the problem. The present work proposes an arbitrary order implementation of the Virtual Element method in mixed formulation for such multidimensional problems. Details on effective strategies for mesh generation are discussed and implementation aspects are addressed. Several numerical results in various contexts are provided, which showcase the applicability of the method to flow simulations in complex multidimensional domains."	en
dc.identifier.issn	0045-7825
dc.identifier.uri	https://ri.itba.edu.ar/handle/123456789/4131
dc.language.iso	en	en
dc.relation	info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2021.114204
dc.relation	info:eu-repo/grantAgreement/MIUR/PRIN/201744KLJL/IT. Roma
dc.relation	info:eu-repo/grantAgreement/POLITO/CUP/E11G18000350001/IT. Torino
dc.rights	info:eu-repo/semantics/embargoedAccess
dc.subject	FRACTURA HIDRAULICA	es
dc.subject	SIMULACION	es
dc.subject	ANALISIS NUMERICO	es
dc.title	An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems	en
dc.type	Artículo de Publicación Periódica	es
dc.type	info:eu-repo/semantics/acceptedVersion
dspace.entity.type	Artículo de Publicación Periódica
itba.description.filiation	Fil: Benedetto, Matías Fernando. The University of Queensland; Australia.
itba.description.filiation	Fil: Borio, Andrea. Politecnico di Torino; Italia.
itba.description.filiation	Fil: Kyburg, Felix E. Instituto Tecnológico de Buenos Aires; Argentina.
itba.description.filiation	Fil: Scialò, Stefano. Politecnico di Torino; Italia.
itba.description.filiation	Fil: Mollica, Juan. Instituto Tecnológico de Buenos Aires; Argentina.