%0 Generic
%A Wick, Thomas
%D 2011
%F heidok:11822
%K Fluid-Structure Interaction, Finite Element Method, Arbitrary Lagrangian Eulerian, Biomechanics, Goal-Oriented Mesh Adaption
%R 10.11588/heidok.00011822
%T Adaptive Finite Elements for Monolithic Fluid-StructureInteraction on a Prolongated Domain: Applied to an Heart Valve Simulation
%U https://archiv.ub.uni-heidelberg.de/volltextserver/11822/
%X In this work, we apply a fluid-structure interaction method  to a long axis heart valve simulation. Our method of choice is based on a monolithic coupling scheme for fluid-structure interaction, where the fluid equations are rewritten in the arbitrary Lagrangian  Eulerian' framework. To prevent back-flow of waves  in the structure due to its hyperbolic nature, a damped structure equation is solved on an artificial layer that prolongates  the computational domain. This coupling is stable on the continuous level. To reduce the increased computational cost in presence of the artificial layer, we refine the mesh  only regions of interest. To this end, a stationary version of  goal-oriented mesh refinement is part of our numerical tests.  The results show that heart valve dynamics can be simulated with our proposed model.