Efficient FEM techniques and fast solvers for coupled solid-fluid problems in geotechnical processes in the framework of the Theory of Porous Media (TPM)

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The aim of this project is to develop, to analyze and to implement efficient numerical FEM discretization and multilevel solution techniques for the simulation of geotechnical processes in the framework of the Theory ofPorous Media (TPM). The developed FEM methods have to take into account the so-called LBB-stability constraint due to the incompressibility and they have to include stabilization approaches for the involved convective operators, and they have to be designed for adaptive mesh refinement and fluid-solid interaction. All these techniques shall be based on special CFD methods which have to be adapted for the simulation of geotechnical processes. Together with partners from engineering sciences, particularly from the associated research group FOR 1136, the numerical techniques and the in our in-house software FEATFLOW realized software tools shall be validated and evaluated in comparison to numerical and experimental benchmark data as well as existing software (ABAQUS, PANDAS). The central aspect of the applied research work in the following second period is the extension of the developed methodology for 3D configurations and the extension towards more complex constitution models including geometrical and material nonlinearities.