The Virtual Element Method for the Transport of Passive Scalars in Discrete Fracture Networks
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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.
This work has been partially supported by INdAM-GNCS and by Politecnico di Torino through project Starting Grant RTD. Computational resources were partially provided by HPC@POLITO (http://hpc.polito.it).