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

"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...

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Autores principales: Benedetto, Matías Fernando, Borio, Andrea, Kyburg, Felix E., Scialò, Stefano, Mollica, Juan
Formato: Artículo de Publicación Periódica acceptedVersion
Lenguaje:Inglés
Publicado: info
Materias:
FRACTURA HIDRAULICA
SIMULACION
ANALISIS NUMERICO
Acceso en línea:https://ri.itba.edu.ar/handle/123456789/4131
Aporte de:
Repositorio Institucional Instituto Tecnológico de Buenos Aires (ITBA) de Instituto Tecnológico de Buenos Aires (ITBA)
id I32-R138-123456789-4131
record_format dspace
spelling I32-R138-123456789-41312023-01-05T03:01:49Z 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 FRACTURA HIDRAULICA SIMULACION ANALISIS NUMERICO "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." info:eu-repo/date/embargoEnd/2024-03-01 2023-01-04T14:26:53Z 2023-01-04T14:26:53Z 2022-03 Artículo de Publicación Periódica info:eu-repo/semantics/acceptedVersion 0045-7825 https://ri.itba.edu.ar/handle/123456789/4131 en info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2021.114204 info:eu-repo/grantAgreement/MIUR/PRIN/201744KLJL/IT. Roma info:eu-repo/grantAgreement/POLITO/CUP/E11G18000350001/IT. Torino info:eu-repo/semantics/embargoedAccess application/pdf application/pdf
institution Instituto Tecnológico de Buenos Aires (ITBA)
institution_str I-32
repository_str R-138
collection Repositorio Institucional Instituto Tecnológico de Buenos Aires (ITBA)
language Inglés
topic FRACTURA HIDRAULICA
SIMULACION
ANALISIS NUMERICO
spellingShingle FRACTURA HIDRAULICA
SIMULACION
ANALISIS NUMERICO
Benedetto, Matías Fernando
Borio, Andrea
Kyburg, Felix E.
Scialò, Stefano
Mollica, Juan
An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems
topic_facet FRACTURA HIDRAULICA
SIMULACION
ANALISIS NUMERICO
description "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."
format Artículo de Publicación Periódica
acceptedVersion
author Benedetto, Matías Fernando
Borio, Andrea
Kyburg, Felix E.
Scialò, Stefano
Mollica, Juan
author_facet Benedetto, Matías Fernando
Borio, Andrea
Kyburg, Felix E.
Scialò, Stefano
Mollica, Juan
author_sort Benedetto, Matías Fernando
title An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems
title_short An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems
title_full An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems
title_fullStr An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems
title_full_unstemmed An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems
title_sort arbitrary order mixed virtual element formulation for coupled multi-dimensional flow problems
publishDate info
url https://ri.itba.edu.ar/handle/123456789/4131
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