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

该项目的目的是开发，分析和实施有效的数值有限元离散化和多级解决方案技术，用于在多孔介质理论（TPM）的框架内模拟岩土工程过程。所开发的有限元方法必须考虑到所谓的LBB稳定性约束，由于不可压缩性，他们必须包括稳定的方法所涉及的对流运营商，他们必须被设计为自适应网格细化和流固相互作用。所有这些技术应基于特殊的CFD方法，该方法必须适用于岩土工程过程的模拟。与来自工程科学的合作伙伴，特别是来自相关研究小组FOR 1136的合作伙伴一起，数值技术和我们内部软件FEATFLOW实现的软件工具将通过与数值和实验基准数据以及现有软件（ABAQUS，PANDAS）的比较进行验证和评估。在接下来的第二个时期的应用研究工作的中心方面是扩展的3D配置和扩展到更复杂的宪法模型，包括几何和材料的非线性的开发方法。

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.