The virtual element method for underground flow simulations in fractured media

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Tipo di pubblicazione: Capitolo di libro
Tipologia MIUR: Contributo in Volume > Contributo in volume( Capitolo o Saggio)
Titolo: The virtual element method for underground flow simulations in fractured media
Autori: Benedetto, M.F.; Berrone, S.; Borio, A.
Autori di ateneo:
Titolo del libro: Advances in Discretization Methods / Ventura, G.; Benvenuti, E.
Intervallo pagine: pp. 167-186
Editore: Springer
ISBN: 978-3-319-41245-0
Abstract: We focus on the problem of performing underground flow simulations in fractured media. The medium is modelled by means of the so-called Discrete Fracture Network (DFN) model. Within this framework, we discuss about the use of the Virtual Element Method (VEM) in performing simulations, and about its role in facilitating the meshing process. DFN models are characterized by a large number of planar fractures stochastically generated and placed in a 3D reference system starting from given probabilistic distribution of space position, dimension, aspect ratio, orientation and hydrogeological properties. For these reasons, realistic DFNs are usually characterized by the presence of very complex geometrical configurations on which it is very difficult to obtain a good quality Finite Element mesh. In particular, in order to circumvent these difficulties, we consider two different VEM approaches: an approach based on a totally conforming polygonal mesh obtained starting from a triangular mesh independently generated on the different fractures of the system and an approach based on a partially conforming mesh in which the connection between the fracture meshes is imposed through a mortaring approach borrowed from the classical domain decomposition methods. Concerning these two approaches, we discuss their relative advantages and present numerical results aimed at comparing them
Data: 2016
Status: Pubblicato
Lingua della pubblicazione: Inglese
Parole chiave: virtual element method, discrete fracture networks, underground flow simulations, fractured media
Dipartimenti (originale): DISMA - Dipartimento di Scienze Matematiche
Dipartimenti: DISMA - Dipartimento di Scienze Matematiche
URL correlate:
    Area disciplinare: Area 01 - Scienze matematiche e informatiche > ANALISI NUMERICA
    Data di deposito: 28 Ott 2016 00:01
    Data ultima modifica (IRIS): 27 Ott 2016 22:01:13
    Data inserimento (PORTO): 29 Ott 2016 04:35
    Numero Identificativo (DOI): 10.1007/978-3-319-41246-7_8
    Permalink: http://porto.polito.it/id/eprint/2654508

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