Vorschau |
PDF, Englisch
Download (1MB) | Nutzungsbedingungen |
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.
Dokumententyp: | Sonstiges |
---|---|
Erstellungsdatum: | 18 Feb. 2011 12:22 |
Erscheinungsjahr: | 2011 |
Institute/Einrichtungen: | Fakultät für Mathematik und Informatik > Institut für Mathematik |
DDC-Sachgruppe: | 510 Mathematik |
Normierte Schlagwörter: | Fluid-Struktur-Wechselwirkung, Finite-Elemente-Methode, Implementierung |
Freie Schlagwörter: | Monolithic Framework , Arbitrary Lagrangian EulerianFluid-Structure Interaction , Finite Element Method , Monolithic Framework , Arbitrary Lagrangian Eulerian , Implementation |