An Unfitted Discontinuous Galerkin method for pore-scale simulations of solute transport

For the simulation of transport processes in porous media effective parameters for the physical processes on the target scale are equired. Numerical upscaling, as well as multiscale approaches can help where experiments are not possible, or hard to conduct. In 2009, Bastian and Engwer proposed an Unfitted Discontinuous Galerkin (UDG) method for solving PDEs in complex domains, .g. on the pore scale. We apply this method to a parabolic test problem. Convergence studies show the expected second order onvergence. As an application example solute transport in a porous medium at the pore scale is simulated. Macroscopic breakthrough curves are computed using direct simulations. The method allows finite element meshes which are ignificantly coarser then those required by standard conforming finite element approaches. Thus it is possible to obtain reliable umerical results for macroscopic parameter already for a relatively coarse grid. 2010 IMACS. Published by Elsevier B.V. All rights reserved.