title: Solving Monolithic Fluid-Structure Interaction Problems in Arbitrary Lagrangian Eulerian Coordinates with the deal.II Library
creator: Wick, Thomas
subject: 510
subject: 510 Mathematics
description: 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.
date: 2011
type: Other
type: info:eu-repo/semantics/report
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/11629/1/main_Feb_16_2011.pdf
identifier: DOI:10.11588/heidok.00011629
identifier: urn:nbn:de:bsz:16-opus-116298
identifier:   Wick, Thomas  (2011) Solving Monolithic Fluid-Structure Interaction Problems in Arbitrary Lagrangian Eulerian Coordinates with the deal.II Library.  [Other]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/11629/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng