Following the approach introduced in [Berrone,Pieraccini,Scialò,2013], we consider the formulation of the problem of fluid flow in a system of fractures as a PDE constrained optimization problem, with discretization performed using suitable extended finite elements; the method allows independent meshes on each fracture, thus completely circumventing meshing problems usually related to the DFN approach. The application of the method to discrete fracture networks of medium complexity is fully analyzed here, accounting for several issues related to viable and reliable implementations of the method in complex problems.
|Titolo:||On simulations of discrete fracture network flows with an optimization-based extended finite element method|
|Data di pubblicazione:||2013|
|Digital Object Identifier (DOI):||10.1137/120882883|
|Appare nelle tipologie:||1.1 Articolo in rivista|
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|Publisher_version.pdf||The present version is the publisher's version, made accessible in compliance with the Publisher's copyright policy as reported in the SHERPA-ROMEO website: http://www.sherpa.ac.uk/romeo/issn/1064-8275/||2. Post-print||PUBBLICO - Tutti i diritti riservati||Visibile a tuttiVisualizza/Apri|