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Discontinuous Galerkin Methods for Solving Flow and Transport Problems
Colloquium| Speaker: | Dr. Beatrice Riviere, Center for Subsurface Modeling, University of Texas, Austin |
| Location: | 693 Kerr |
| Start time: | Mon, Jan 28 2002, 4:10PM |
Description
There is a need for efficient and accurate algorithms for
simulating the flow and transport of species through a porous medium on
general geometries. Recently, Discontinuous Galerkin (DG) methods have
received much attention from the finite element community, and several
schemes have been introduced and analyzed for elliptic and parabolic
equations in the last five years. Besides the local mass conservation,
discontinuous finite element methods can handle unstructured and irregular
grids, full tensor coefficients, and also can easily take full advantage
of the hp adaptivity techniques. In this talk, two DG methods
are presented: the Baumann-Oden-Babuska scheme and the Non-symmetric
Interior Penalty Galerkin (NIPG) method. Three subsurface applications
are considered: single phase flow (elliptic equation), linear transport
(convection-dominated parabolic equation) and multiphase flow (coupled
system of nonlinear PDEs). Theoretical results and numerical simulations
are given.
3:45PM - Refreshments will be served in room 551, Kerr Hall