PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Fei Wang.

Title:Finite volume methods for elasticity and poro-elasticity
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Jan Martin Nordbotten, University of Bergen
Abstract Link:http://folk.uib.no/nmajn/index-eng.html
Abstract:
We introduce a new class of cell-centered finite volume methods for elasticity and poro-elasticity. This class of discretization methods has the advantage that the mechanical discretization is fully compatible (in terms of grid and variables) to the standard cell-centered finite volume discretizations that are prevailing for commercial simulation of multi-phase flows in porous media. For a specific variant of the proposed discretization, we give an overview of a convergence proof in the setting of isotropic elasticity, and address from a theoretical perspective the issues of a discrete Korn's inequality and robustness with respect to locking. Furthermore, we give numerical results for both structured and unstructured grids for both elasticity and poro-elasticity. The talk concludes with an application to simulation of fractured and fracturing porous media.

Room Reservation Information

Room Number:MB114
Date:02 / 25 / 2014
Time:04:00pm - 05:00pm