Numerical Analysis Seminar

Date: March 6, 2019

Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: Uwe Kocher, Helmut-Schmidt-University, Hamburg

Title: Numerical simulation of coupled flow and deformation in porous media with space-time methods

Abstract: The efficient and accurate simulation of coupled flow and deformation in porous media in space and time is of fundamental importance in many engineering fields. The quasi-static and dynamic poroelastic models appear for instance in simulation studies to support the development of next-generation batteries. Such must support fast-charging and fast-draining with currents of a factor of at least 100 or more compared to nowadays cutting-edge technologies. Future generation numerical simulation tools must incorporate multiphysics phenomena in which sharp concentration and pressure gradients, high mechanical stresses, elastic wave propagation, memory-effects on the media parameters, multi-phase behavior, crack propagation as well as electro-chemical reactions occur. In this contribution high-order space-time discretisations, including mixed finite elements (MFEM) for the flow variables and interior-penalty discontinuous Galerkin finite elements (IPDG) for the displacement and velocity variables, are presented. The arising linear block systems are solved with a sophisticated monolithic solver technology with flexible multi-step fixed-stress physical preconditioning. Inside the preconditioner highly optimized system solvers for low order approximations can be used. Additionally, our solver technology allows for parallel-in-time application. The performance properties of the solver and for further applications are illustrated by numerical experiments.