Mathematikgebäude, Seminarraum M614/616 (6. Etage)

The main focus of this study, jointly with Y. Efendiev and P. Popov, is on fluid flows in deformable elastic media and associated multiscale problems. Many upscaling methods are developed for flows in rigid porous media or deformable elastic media assuming infinitely small fluid-solid interface displacements relative to the pore size. More research is needed for the most general and least studied problem of flow in deformable porous media when the fluid-solid interface deforms considerably at the pore level. Due to complexity of pore-level interaction an iterative macroscopic model that consists of nonlinear Darcy equations and upscaled elasticity equations modeled via an iterative procedure will be proposed in this talk. Numerical results for the case of linear elastic solid skeleton will be presented for a number of model problems.

Vortrag im Rahmen des SFB 708

Prof. Yuliya Gorb

University of Houston, USA