%0 Generic
%A Wick, Thomas
%D 2011
%F heidok:11629
%K Monolithic Framework , Arbitrary Lagrangian EulerianFluid-Structure Interaction , Finite Element Method , Monolithic Framework , Arbitrary Lagrangian Eulerian , Implementation
%R 10.11588/heidok.00011629
%T Solving Monolithic Fluid-Structure Interaction Problems in Arbitrary Lagrangian Eulerian Coordinates with the deal.II Library
%U https://archiv.ub.uni-heidelberg.de/volltextserver/11629/
%X 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.