Goal-oriented error estimation for fluid-structure interaction problems

• Verfasst von: Richter, Thomas [VerfasserIn]
• Titel: Goal-oriented error estimation for fluid-structure interaction problems
• Verf.angabe: Th. Richter
• Umfang: 15 S.
• Fussnoten: Gesehen am 01.06.2018
• Titel Quelle: Enthalten in: Computer methods in applied mechanics and engineering
• Jahr Quelle: 2012
• Band/Heft Quelle: 223-224(2012), S. 28-42
• DOI: doi:10.1016/j.cma.2012.02.014
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1575904004

Abstract

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.