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.
2019
978-3-319-96414-0
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2722899
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