Multiscale Discontinuous Galerkin Methods for Modeling Flow and Transport in Porous Media

Authors:
Shuyu Sun;Jürgen Geiser
Affiliations:
Department of Mathematical Sciences, Clemson University, O-221 Martin Hall, Clemson, SC 29634-0975, USA;Department of Mathematics, Humboldt-Universität zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany
Venue:
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Year:
2007

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Abstract

Multiscale discontinuous Galerkin (DG) methods are established to solve flow and transport problems in porous media. The underlying idea is to construct local DG basis functions at the coarse scale that capture the local properties of the differential operator at the fine scale, and then to solve the DG formulation using the newly constructed local basis functions instead of conventional polynomial functions on the coarse scale elements. Numerical examples are provided for demonstrating their effectiveness.