PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Yuxi Zheng, Kris Jenssen.

Title:Subgrid Method for Computing Flows in Highly Heterogeneous Media
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Raytcho Lazarov, Dept of Math, Texas A&M Univ, College Station
Abstract:
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
Date:04 / 02 / 2010
Time:03:35pm - 04:25pm