An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction

Axel Gerstenberger; Wolfgang A. Wall

doi:10.1016/j.cma.2007.07.002

An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction

Axel Gerstenberger, Wolfgang A. Wall

Chair of Computational Mechanics

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

245 Scopus citations

Abstract

This paper presents a new fixed grid fluid-structure interaction scheme that can be applied to the interaction of most general structures with incompressible flow. It is based on an eXtended Finite Element Method (XFEM) based strategy. The extended Eulerian fluid field and the Lagrangian structural field are partitioned and iteratively coupled using Lagrange multiplier techniques for non-matching grids. The approach allows the simulation of the interaction of thin and bulky structures exhibiting large deformations. Finally, qualitative examples and a benchmark computation demonstrate key features and accuracy of the method.

Original language	English
Pages (from-to)	1699-1714
Number of pages	16
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	197
Issue number	19-20
DOIs	https://doi.org/10.1016/j.cma.2007.07.002
State	Published - 15 Mar 2008

Keywords

Domain decomposition
Fixed grid
Fluid-structure interaction
Lagrange multiplier
Mortar method
eXtended Finite Element Method

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10.1016/j.cma.2007.07.002

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title = "An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction",

abstract = "This paper presents a new fixed grid fluid-structure interaction scheme that can be applied to the interaction of most general structures with incompressible flow. It is based on an eXtended Finite Element Method (XFEM) based strategy. The extended Eulerian fluid field and the Lagrangian structural field are partitioned and iteratively coupled using Lagrange multiplier techniques for non-matching grids. The approach allows the simulation of the interaction of thin and bulky structures exhibiting large deformations. Finally, qualitative examples and a benchmark computation demonstrate key features and accuracy of the method.",

keywords = "Domain decomposition, Fixed grid, Fluid-structure interaction, Lagrange multiplier, Mortar method, eXtended Finite Element Method",

author = "Axel Gerstenberger and Wall, {Wolfgang A.}",

note = "Funding Information: The present study is supported by a grant of the {\textquoteleft}Deutsche Forschungsgemeinschaft{\textquoteright} (DFG) within the DFG{\textquoteright}s Research Unit 493 {\textquoteleft}FSI: Modelling, Simulation, and Optimization{\textquoteright}. This support is gratefully acknowledged. ",

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doi = "10.1016/j.cma.2007.07.002",

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T1 - An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction

AU - Gerstenberger, Axel

AU - Wall, Wolfgang A.

N1 - Funding Information: The present study is supported by a grant of the ‘Deutsche Forschungsgemeinschaft’ (DFG) within the DFG’s Research Unit 493 ‘FSI: Modelling, Simulation, and Optimization’. This support is gratefully acknowledged.

PY - 2008/3/15

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N2 - This paper presents a new fixed grid fluid-structure interaction scheme that can be applied to the interaction of most general structures with incompressible flow. It is based on an eXtended Finite Element Method (XFEM) based strategy. The extended Eulerian fluid field and the Lagrangian structural field are partitioned and iteratively coupled using Lagrange multiplier techniques for non-matching grids. The approach allows the simulation of the interaction of thin and bulky structures exhibiting large deformations. Finally, qualitative examples and a benchmark computation demonstrate key features and accuracy of the method.

AB - This paper presents a new fixed grid fluid-structure interaction scheme that can be applied to the interaction of most general structures with incompressible flow. It is based on an eXtended Finite Element Method (XFEM) based strategy. The extended Eulerian fluid field and the Lagrangian structural field are partitioned and iteratively coupled using Lagrange multiplier techniques for non-matching grids. The approach allows the simulation of the interaction of thin and bulky structures exhibiting large deformations. Finally, qualitative examples and a benchmark computation demonstrate key features and accuracy of the method.

KW - Domain decomposition

KW - Fixed grid

KW - Fluid-structure interaction

KW - Lagrange multiplier

KW - Mortar method

KW - eXtended Finite Element Method

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U2 - 10.1016/j.cma.2007.07.002

DO - 10.1016/j.cma.2007.07.002

M3 - Article

AN - SCOPUS:39749156453

SN - 0045-7825

VL - 197

SP - 1699

EP - 1714

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 19-20

ER -

An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction

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Keywords

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