Simulation of physical phenomena in networks of fractures is a challenging task, mainly as a consequence of the geometrical complexity of the resulting computational domains, typically characterized by a large number of interfaces, i.e. the intersections among the fractures. The use of numerical strategies that require a mesh conforming to the interfaces is limited by the difficulty of generating such conforming meshes, as a consequence of the large number of geometrical constraints. Here we show how this issue can be effectively tackled by resorting to the Virtual Element Method on polygonal grids. Advection-diffusion-reaction phenomena are considered, also in advection-dominated flow regimes.

The Virtual Element Method for the Transport of Passive Scalars in Discrete Fracture Networks / Berrone, Stefano; Benedetto, MATIAS FERNANDO; Borio, Andrea; Pieraccini, Sandra; Scialo', Stefano. - STAMPA. - 126:(2019), pp. 501-508. ((Intervento presentato al convegno ENUMATH 2017 tenutosi a Voss (Norway) nel 25-29 Settembre 2017 [10.1007/978-3-319-96415-7_45].

The Virtual Element Method for the Transport of Passive Scalars in Discrete Fracture Networks

Stefano Berrone;Matias Benedetto;Andrea Borio;Sandra Pieraccini;Stefano Scialò
2019

Abstract

Simulation of physical phenomena in networks of fractures is a challenging task, mainly as a consequence of the geometrical complexity of the resulting computational domains, typically characterized by a large number of interfaces, i.e. the intersections among the fractures. The use of numerical strategies that require a mesh conforming to the interfaces is limited by the difficulty of generating such conforming meshes, as a consequence of the large number of geometrical constraints. Here we show how this issue can be effectively tackled by resorting to the Virtual Element Method on polygonal grids. Advection-diffusion-reaction phenomena are considered, also in advection-dominated flow regimes.
978-3-319-96414-0
File in questo prodotto:
File Dimensione Formato  
TheVirtual_ENUMATH2017.pdf

non disponibili

Descrizione: Capitolo di libro versione finale
Tipologia: 2a Post-print versione editoriale / Version of Record
Licenza: Non Pubblico - Accesso privato/ristretto
Dimensione 192.05 kB
Formato Adobe PDF
192.05 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2722899
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo