Adaptive Finite Element Simulation of Fluid-Structure Interaction with Application to Heart-Valve Dynamics

The simulation of fluid-structure interactions (FSI) is subject of intensive research. The list of possible applications is long, e.g. deformation technology with lubricants in automotive industries, flow around aircrafts. In addition to that fluid-structure interactions can be found in modelling blood-artery interaction and its association to human diseases of the cardiavascular system like aortic dissections and aneurysmns. On the other hand, there is an increasing need of optimizing such processes. For example, lowest friction of a moving body in air flow, to minimize drag. Goals: The project is designed to combine the well-developed methods in FSI and PDE -constrained optimization. This combination is novel and raises many new questions, in theory as well as in computation. The aim is to develop new methods for computational optimization in the context of FSI problems, for stationary and later also for instationary setups. Prototypical problems will be investigated with an eye at future real-life applications. The software package DEAL.II is used as programming platform.