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|
|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
|Date:||02 / 25 / 2014|
|Time:||04:00pm - 05:00pm|