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.KeywordsPorous MediumLocal ProblemCoarse MeshReactive TransportCoarse ScaleThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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