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

In fluid-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 fluid 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 fluid-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. fluid-structure interaction with large displacements. We will demonstrate some advantages and limits of each setting by means of examples.     «

In fluid-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 fluid solvers. Among these are the Finite Volume Method in an Arbitrary L...     »