TY  - GEN
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/11629/
KW  - Monolithic Framework 
KW  -  Arbitrary Lagrangian EulerianFluid-Structure Interaction 
KW  -  Finite Element Method 
KW  -  Monolithic Framework 
KW  -  Arbitrary Lagrangian Eulerian 
KW  -  Implementation
ID  - heidok11629
AV  - public
A1  - Wick, Thomas
N2  - 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.
TI  - Solving Monolithic Fluid-Structure Interaction Problems in Arbitrary Lagrangian Eulerian Coordinates with the deal.II Library
Y1  - 2011///
ER  -