InterPore2021

Adaptive Virtual Element Methods for simulations in Discrete Fracture Matrix models

1 Jun 2021, 10:00

1h

Poster (+) Presentation (MS3) Flow, transport and mechanics in fractured porous media Poster +

Speaker

Dr Andrea Borio (Politecnico di Torino)

Description

The simulation of flow and transport in poro-fractured media is a complex task, in particular from the point of view of mesh generation. Indeed, constructing good quality meshes that are conforming to the fractures internal to a rock matrix can be computationally expensive when the mesh has to be simplicial, as for standard Finite Element Methods.

In this talk we introduce novel strategies based on Virtual Element Methods (VEM) to perform simulations of flows in Discrete Fracture Matrix models. The flexibility of generalized polygonal meshes that can be handled by VEM, even allowing aligned edges and aligned faces, is a very useful tool for mesh generation. The presented strategies rely on the fast generation of polytopal meshes and on suitable refinement techniques designed for generalized polytopal meshes, that are used to adapt the mesh according to a posteriori error estimates, in order to reduce the number of degrees of freedom used to obtain high quality solutions.

References

Stefano Berrone, Andrea Borio, Alessandro D'Auria, Refinement strategies for polygonal meshes applied to adaptive VEM discretization, Finite Elements in Analysis and Design, Volume 186, 2021, 103502, ISSN 0168-874X, doi:10.1016/j.finel.2020.103502. (https://www.sciencedirect.com/science/article/pii/S0168874X20301827)