Goal-oriented error estimation for fluid-structure interaction problems

In this work, we present an adaptive finite element method for the numerical simulation of stationary fluid-structure interaction problems. The coupled system is given in a variational and monolithic Arbitrary Lagrangian Eulerian framework. We derive methods for goal-oriented error estimation and me...

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1. Verfasser: Richter, Thomas (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 1 March 2012
In: Computer methods in applied mechanics and engineering
Year: 2012, Jahrgang: 223-224, Pages: 28-42
ISSN:1879-2138
DOI:10.1016/j.cma.2012.02.014
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1016/j.cma.2012.02.014
Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0045782512000564
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Verfasserangaben:Th. Richter
Beschreibung
Zusammenfassung:In this work, we present an adaptive finite element method for the numerical simulation of stationary fluid-structure interaction problems. The coupled system is given in a variational and monolithic Arbitrary Lagrangian Eulerian framework. We derive methods for goal-oriented error estimation and mesh adaptation with the dual weighted residual method. Key to applying this error estimator is the underlying canonic variational formulation of the fluid-structure interaction problem by mapping the flow problem to ALE coordinates. The developed method is applied to two and three dimensional stationary benchmark problems coupling the incompressible Navier-Stokes equations with a nonlinear hyper-elastic material law.
Beschreibung:Gesehen am 01.06.2018
Beschreibung:Online Resource
ISSN:1879-2138
DOI:10.1016/j.cma.2012.02.014