eprintid: 11629
rev_number: 7
eprint_status: archive
userid: 1
dir: disk0/00/01/16/29
datestamp: 2011-02-18 12:22:21
lastmod: 2014-08-18 16:24:40
status_changed: 2012-08-15 08:57:48
type: report
metadata_visibility: show
creators_name: Wick, Thomas
title: Solving Monolithic Fluid-Structure Interaction Problems in Arbitrary Lagrangian Eulerian Coordinates with the deal.II Library
ispublished: pub
subjects: 510
divisions: 110400
keywords: Monolithic Framework , Arbitrary Lagrangian EulerianFluid-Structure Interaction , Finite Element Method , Monolithic Framework , Arbitrary Lagrangian Eulerian , Implementation
cterms_swd: Fluid-Struktur-Wechselwirkung
cterms_swd: Finite-Elemente-Methode
cterms_swd: Implementierung
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.
abstract_translated_lang: eng
class_scheme: msc
class_labels: 35Q74, 35Q35, 65N30, 65M60, 68U20
date: 2011
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00011629
ppn_swb: 1650757425
own_urn: urn:nbn:de:bsz:16-opus-116298
language: eng
bibsort: WICKTHOMASSOLVINGMON2011
full_text_status: public
citation:   Wick, Thomas  (2011) Solving Monolithic Fluid-Structure Interaction Problems in Arbitrary Lagrangian Eulerian Coordinates with the deal.II Library.  [Other]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/11629/1/main_Feb_16_2011.pdf