Fixed Grid and ALE-type Fluid-Structure Interaction with Elements of ...

International Workshop on Fluid-Structure Interaction:
Theory, Numerics and Applications
September 29 – October 1, 2008
Herrsching am Ammersee (Munich), Germany
Fixed Grid and ALE-type Fluid-Structure Interaction with Elements of
High Order
* Stefan Kollmannsberger 1 , Sebastian Geller 2 , Alexander Düster 1 and Ernst Rank 1
Chair for Computation in Engineering
Technische Universität München, Arcisstrasse 21, D-80290 München, Germany
{kollmannsberger,duester,rank}@bv.tum.de, http://www.cie.bv.tum.de/
Institute for Computational Modeling in Civil Engineering
Technische Universität Braunschweig Pockelsstrasse 3, D-38106 Braunschweig, Germany
{toelke,geller,kraft}@irmb.tu-bs.de, http://www.irmb.tu-bs.de/
Key Words: High Order FEM, Fluid-Structure Interaction, Lattice Boltzmann Method
ABSTRACT
In uid-structure interaction the structure is usually computed by the Finite Element Method. We utilize
a high order structural FEM-formulation suited for geometrically nonlinear computations ensuring
exponential convergence rates in the strain energy for smooth problems
Within the authors work for the ”Forschergruppe 493” supported by the Deutsche Forschungsgemeinschaft,
structural p-FEM was coupled to several different uid solvers. Among these are the Finite
Volume Method in an Arbitrary Lagrange-Eulerian formulation, the Lattice Boltzmann Method and a
Spectral Finite Element Method. Every coupling-setup was validated against numerical and/or experimental
benchmarks.
The uid-formulations used are completely different in their nature and implementation. One focus of
this contribution is to describe the exchange of the variables on the interface between these formulations.
Recognizing the workshop character of the symposium, we try to communicate the experience we
gained with the methods in their current implementation w.r.t. uid-structure interaction with large
displacements. We will demonstrate some advantages and limits of each setting by means of examples.
References
REFERENCES
[1] S. Geller, J. Tölke, and M. Krafczyk. Lattice Boltzmann Methods on Quadree-Type Grids for
Fluid-Structure Interaction. In H.J. Bungartz and M. Schäfer, editors, Fluid-Structure Interaction,
Modelling, Simulation and Optimisation, volume 53 of Lecture Notes in Computational Science
and Engineering, pages 270–293. Springer, 2006.

[2] S. Kollmannsberger, A. Düster, and E. Rank. Exact force transfer for high order nite element
methods usint intersected meshes. In Proceedings of PVP 2007, 12th International Symposium on
Emerging Technologies in Fluids, Structures, and Fluid/Structure Interactions, within the ASME
Pressure Vessel and Piping Conference, San Antonio, Texas, USA, 2007.
[3] S. Kollmannsberger, S. Geller, A. Düster, E. Rank, Tölke J., and Krafczyk M. Fixed-grid Fluid-
Structure interaction in two dimensions based on a partitioned Lattice Boltzmann and p-FEM approach.
Submitted to International Journal for Numerical Methods in Engineering, 2008.
[4] D. Scholz, S. Kollmannsberger, A. Düster, and E. Rank. Thin Solids for Fluid-Structure Interaction.
In H.J. Bungartz and M. Schäfer, editors, Fluid-Structure Interaction, Modelling, Simulation and
Optimisation, volume 53 of Lecture Notes in Computational Science and Engineering, pages 294–
335. Springer, 2006.