Iterative Coupling of Mixed and Discontinuous Galerkin Methods for Poroelasticity

TL;DR

This paper presents an iterative coupling approach combining mixed and discontinuous Galerkin methods for simulating flow and deformation in porous media, improving accuracy and stability.

Contribution

It introduces an optimized fixed-stress split with a discontinuous variational time discretization for coupled poroelasticity modeling.

Findings

Eliminates locking in numerical algorithms for poroelasticity.

Reduces nonphysical pressure oscillations.

Enhances stability and accuracy of coupled simulations.

Abstract

We analyze an iterative coupling of mixed and discontinuous Galerkin methods for numerical modelling of coupled flow and mechanical deformation in porous media. The iteration is based on an optimized fixed-stress split along with a discontinuous variational time discretization. For the spatial discretization of the subproblem of flow mixed finite element techniques are applied. The discretization of the subproblem of mechanical deformation uses discontinuous Galerkin methods. They have shown their ability to eliminate locking that sometimes arises in numerical algorithms for poroelasticity and causes nonphysical pressure oscillations.