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Adaptive Finite Elements for Monolithic Fluid-StructureInteraction on a Prolongated Domain: Applied to an Heart Valve Simulation

Wick, Thomas

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Abstract

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.

Item Type: Working paper
Date Deposited: 29 Apr 2011 11:41
Date: 2011
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Department of Applied Mathematics
Subjects: 510 Mathematics
Controlled Keywords: Fluid-Struktur-Wechselwirkung, Finite-Elemente-Methode, Biomechanik, Wellengleichung, Gitterverfeinerung
Uncontrolled Keywords: Fluid-Structure Interaction, Finite Element Method, Arbitrary Lagrangian Eulerian, Biomechanics, Goal-Oriented Mesh Adaption
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