Finite elements for fluid-structure interaction in ALE and fully Eulerian coordinates

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Original languageEnglish
Pages (from-to)2633-2642
Number of pages10
JournalComputer Methods in Applied Mechanics and Engineering
Volume199
Issue number41-44
Publication statusPublished - 1 Oct 2010

Abstract

In this work we describe and compare two monolithic models for fluid-structure interaction problems: First, the well-established ALE model using natural Lagrangian coordinates for the structural model and using an artificial coordinate system for the flow problem. Then, a novel approach, the fully Eulerian coordinates, where both subproblems, structure and fluid are given in Eulerian coordinates. The approaches have in common that a closed variational formulation exists. This allows the use of implicit solution schemes, goal oriented error estimation and gradient based optimization algorithms.Aim of this work is the introduction and verification of the novel fully Eulerian model for stationary fluid-structure interaction problems.

Keywords

    ALE, Finite elements, Fluid-structure interaction, Fully Eulerian, Monolithic

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Finite elements for fluid-structure interaction in ALE and fully Eulerian coordinates. / Richter, T.; Wick, T.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 199, No. 41-44, 01.10.2010, p. 2633-2642.

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