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Abstract
We briefly describe a setting of a non-linear fluid-structure interaction problem and its solution in the finite element software package deal.II. The fluid equations are transformed via the ALE map (Arbitrary Lagrangian Eulerian framework) to a reference configuration. The mapping is constructed using the biharmonic operator. The coupled problem is defined in a monolithic framework and serves for unsteady (or quasi-stationary) configurations. Different types of time stepping schemes are implemented. The non-linear system is solved by a Newton method. Here, the Jacobian matrix is build up by exact computation of the directional derivatives. The implementation serves for the computation of the fluid-structure benchmark configurations proposed by J. Hron and S. Turek.
Document type: | Other |
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Date Deposited: | 18 Feb 2011 12:22 |
Date: | 2011 |
Faculties / Institutes: | The Faculty of Mathematics and Computer Science > Institut für Mathematik |
DDC-classification: | 510 Mathematics |
Controlled Keywords: | Fluid-Struktur-Wechselwirkung, Finite-Elemente-Methode, Implementierung |
Uncontrolled Keywords: | Monolithic Framework , Arbitrary Lagrangian EulerianFluid-Structure Interaction , Finite Element Method , Monolithic Framework , Arbitrary Lagrangian Eulerian , Implementation |