In this work, an optimization based approach presented in previous work of the authors for Discrete Fracture Network simulations is coupled with the Virtual Element Method (VEM) for the space discretization of the underlying Darcy law. The great flexibility of the VEM in allowing rather general polygonal elements, allow to easily describe irregular solutions starting from a general triangulation which can be built independently of the mesh on other fractures. Only a partial conformity is in fact obtained with this approach. Numerical results performed on several DFN configurations confirm the viability and efficiency of the resulting method.

The virtual element method for discrete fracture network simulations / Benedetto, MATIAS FERNANDO; Berrone, Stefano; Pieraccini, Sandra; Scialo', Stefano. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - STAMPA. - 280:1(2014), pp. 135-156. [10.1016/j.cma.2014.07.016]

The virtual element method for discrete fracture network simulations

BENEDETTO, MATIAS FERNANDO;BERRONE, Stefano;PIERACCINI, SANDRA;SCIALO', STEFANO
2014

Abstract

In this work, an optimization based approach presented in previous work of the authors for Discrete Fracture Network simulations is coupled with the Virtual Element Method (VEM) for the space discretization of the underlying Darcy law. The great flexibility of the VEM in allowing rather general polygonal elements, allow to easily describe irregular solutions starting from a general triangulation which can be built independently of the mesh on other fractures. Only a partial conformity is in fact obtained with this approach. Numerical results performed on several DFN configurations confirm the viability and efficiency of the resulting method.
File in questo prodotto:
File Dimensione Formato  
ArticleVEM.pdf

accesso aperto

Tipologia: 1. Preprint / submitted version [pre- review]
Licenza: PUBBLICO - Tutti i diritti riservati
Dimensione 2.16 MB
Formato Adobe PDF
2.16 MB Adobe PDF Visualizza/Apri
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/11583/2526323
 Attenzione

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