Dual virtual element method in presence of an inclusion

Abstract

We consider a Darcy problem for saturated porous media written in dual formulation in presence of a fully immersed inclusion. The lowest order virtual element method is employ to derive the discrete approximation. In the present work we study the effect of cells with cuts on the numerical solution, able to geometrically handle in a more natural way the inclusion tips. The numerical results show the validity of the proposed approach.

References in corpus (2)

• Benchmarks for single-phase flow in fractured porous media
• Dual Virtual Element Methods for Discrete Fracture Matrix Models

Cited by in corpus (3)

• The Mixed Virtual Element Method on curved edges in two dimensions
• Well-posedness and variational numerical scheme for an adaptive model in highly heterogeneous porous media
• Analysis of conforming, non-matching, and polygonal methods for Darcy and advection-diffusion-reaction simulations in discrete fracture networks