Finite elements for fluid–structure interaction in ALE and fully Eulerian coordinates |
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| Authors: | Th Richter Th Wick |
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| Affiliation: | 1. Department of Mechanical Engineering, Vanderbilt University, 2301 Vanderbilt Pl., Nashville, TN 37235-1592, USA;2. School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907-2045, USA;3. Departments of Otolaryngology and Hearing and Speech Sciences, Vanderbilt University Medical Center, 1313 21st Ave. S., Nashville, TN 37232-4480, USA;1. Department of Mechanical Engineering, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA;2. Department of Mathematical Sciences, University of Nevada Las Vegas, 4505 Maryland Parkway, Las Vegas, NV 89154, USA;3. Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, CA 94550, USA;4. Department of Mathematics, Pennsylvania State University, University park, PA 16802, USA;5. Department of Mechanical Engineering, Kunming University of Science and Technology, Kunming, 68 Wenchang Road, Yunnan, China;1. Department of Mechanical Engineering, Dezful Branch, Islamic Azad University, Dezful, Iran;2. Mechanical Engineering Department, Engineering College, University of Basrah, Basrah, Iraq;3. Mechanical Engineering Department, Prince Mohammad Bin Fahd University, Al-Khobar, 31952, Saudi Arabia;4. Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar, 31952, Saudi Arabia;1. Professur für Strömungsmechanik, Helmut-Schmidt-Universität Hamburg, D-22043 Hamburg, Germany;2. Lehrstuhl für Statik, Technische Universität München, D-80290 München, Germany |
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| 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. |
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