For more information about this meeting, contact Yuxi Zheng, Kris Jenssen.
| Title: | Subgrid Method for Computing Flows in Highly Heterogeneous Media |
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| Seminar: | Computational and Applied Mathematics Colloquium |
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| Speaker: | Raytcho Lazarov, Dept of Math, Texas A&M Univ, College Station |
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| Abstract: |
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| The generalized Stokes equations (called often Brinkman’s equations) are
used in modeling flows in porous media of very high porosity. Examples of
such media are industrial open foams, filters, and insulation materials. Motivated by some industrial applications we focus on the case of media
having a complicated internal structure represented by a highly
heterogeneous permeability field. In the talk a two-scale finite element
method for solving Brinkman's equations will be presented. The method is
based on the discontinuous Galerkin FEM for Stokes equations, proposed
in 2007, SINUM, 45 (3) by Wang and Ye and the concept of sub-grid
approximation developed by Arbogast for Darcy's equations in 2004,
SINUM, 42 (2). There are two main applications of the proposed method:
(1) a upscaled or coarse-grid approximation that incorporates fine-grid features, and (2) solution method that uses the coarse-grid solution as
an initial guess in an alternating Schwarz iterations. In order to
reduce boundary layer errors and to ensure convergence to the global
fine solution, the algorithm uses overlapping subdomains around the
coarse-grid boundaries. A number of numerical examples will be presented
to demonstrate the performance of both the sub-grid method and the
iterative procedure. The talk is based on the joint ongoing joint
research of the author with O. Iliev and J. Willems.
Local host: Ludmil |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 04 / 02 / 2010 |
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| Time: | 03:35pm - 04:25pm |
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