TL;DR
This paper introduces a dual virtual element method to effectively model Darcy flow in porous media with inclusions, improving geometric handling of inclusion tips and demonstrating the method's validity through numerical results.
Contribution
It presents a novel application of the virtual element method for Darcy problems with inclusions, focusing on handling complex geometries with cuts and tips.
Findings
The method accurately models flow around inclusions.
Numerical results validate the approach.
Enhanced geometric handling of inclusion tips.
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.
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