Stability of a coupling technique for partitioned solvers in FSI applications

Joris Degroote; Peter Bruggeman; Robby Haelterman; Jan Vierendeels

doi:10.1016/j.compstruc.2008.05.005

Stability of a coupling technique for partitioned solvers in FSI applications

Joris Degroote
, Peter Bruggeman
, Robby Haelterman
, Jan Vierendeels

University of Ghent

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

157 Citations (Scopus)

Abstract

This paper focuses on the stability of the coupling iterations in the partitioned approach to fluid-structure interaction. Previous research has shown that the number of coupling iterations increases when the time step decreases or when the structure becomes more flexible which is explained here by Fourier error analysis of the unsteady, incompressible flow in an elastic tube. Substituting a linearized model of the structural solver into the flow solver makes the coupling more stable but is impracticable if the flow solver is a black box. Therefore the coupling iterations are stabilized by coupling with reduced-order models and Aitken underrelaxation.

Original language	English
Pages (from-to)	2224-2234
Number of pages	11
Journal	Computers and Structures
Volume	86
Issue number	23-24
DOIs	https://doi.org/10.1016/j.compstruc.2008.05.005
Publication status	Published - Dec 2008

Keywords

Artery
Black box
Elastic tube
Fluid-structure interaction
Fourier error analysis
Reduced-order model

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10.1016/j.compstruc.2008.05.005

Cite this

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title = "Stability of a coupling technique for partitioned solvers in FSI applications",

abstract = "This paper focuses on the stability of the coupling iterations in the partitioned approach to fluid-structure interaction. Previous research has shown that the number of coupling iterations increases when the time step decreases or when the structure becomes more flexible which is explained here by Fourier error analysis of the unsteady, incompressible flow in an elastic tube. Substituting a linearized model of the structural solver into the flow solver makes the coupling more stable but is impracticable if the flow solver is a black box. Therefore the coupling iterations are stabilized by coupling with reduced-order models and Aitken underrelaxation.",

keywords = "Artery, Black box, Elastic tube, Fluid-structure interaction, Fourier error analysis, Reduced-order model",

author = "Joris Degroote and Peter Bruggeman and Robby Haelterman and Jan Vierendeels",

note = "Funding Information: The authors gratefully acknowledge the funding of Joris Degroote and Peter Bruggeman by a Ph.D. fellowship of the Research Foundation – Flanders (FWO). Joris Degroote acknowledges a grant for a long stay abroad at the Massachusetts Institute of Technology (MIT) of the Research Foundation – Flanders. Jan Vierendeels acknowledges the funding by Research Project G027508 of the Research Foundation – Flanders (FWO). ",

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AU - Bruggeman, Peter

AU - Haelterman, Robby

AU - Vierendeels, Jan

N1 - Funding Information: The authors gratefully acknowledge the funding of Joris Degroote and Peter Bruggeman by a Ph.D. fellowship of the Research Foundation – Flanders (FWO). Joris Degroote acknowledges a grant for a long stay abroad at the Massachusetts Institute of Technology (MIT) of the Research Foundation – Flanders. Jan Vierendeels acknowledges the funding by Research Project G027508 of the Research Foundation – Flanders (FWO).

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N2 - This paper focuses on the stability of the coupling iterations in the partitioned approach to fluid-structure interaction. Previous research has shown that the number of coupling iterations increases when the time step decreases or when the structure becomes more flexible which is explained here by Fourier error analysis of the unsteady, incompressible flow in an elastic tube. Substituting a linearized model of the structural solver into the flow solver makes the coupling more stable but is impracticable if the flow solver is a black box. Therefore the coupling iterations are stabilized by coupling with reduced-order models and Aitken underrelaxation.

AB - This paper focuses on the stability of the coupling iterations in the partitioned approach to fluid-structure interaction. Previous research has shown that the number of coupling iterations increases when the time step decreases or when the structure becomes more flexible which is explained here by Fourier error analysis of the unsteady, incompressible flow in an elastic tube. Substituting a linearized model of the structural solver into the flow solver makes the coupling more stable but is impracticable if the flow solver is a black box. Therefore the coupling iterations are stabilized by coupling with reduced-order models and Aitken underrelaxation.

KW - Artery

KW - Black box

KW - Elastic tube

KW - Fluid-structure interaction

KW - Fourier error analysis

KW - Reduced-order model

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DO - 10.1016/j.compstruc.2008.05.005

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EP - 2234

JO - Computers and Structures

JF - Computers and Structures

IS - 23-24

ER -

Stability of a coupling technique for partitioned solvers in FSI applications

Abstract

Keywords

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