Geometric Multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: A numerical study

摘要

We apply geometric multigrid methods for the finite element approximation offlow problems governed by Darcy and Brinkman systems used in modeling highlyheterogeneous porous media. The method is based on divergence-conformingdiscontinuous Galerkin methods and overlapping, patch based domaindecomposition smoothers. We show in benchmark experiments that the method isrobust with respect to mesh size and contrast of permeability for highlyheterogeneous media.