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

Hyperspectral Unit

University of Ghent

Onderzoeksoutput: Bijdrage aan een tijdschrift › Artikel › peer review

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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.

Originele taal-2	Engels
Pagina's (van-tot)	2224-2234
Aantal pagina's	11
Tijdschrift	Computers and Structures
Volume	86
Nummer van het tijdschrift	23-24
DOI's	https://doi.org/10.1016/j.compstruc.2008.05.005
Status	Gepubliceerd - dec. 2008

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10.1016/j.compstruc.2008.05.005

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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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doi = "10.1016/j.compstruc.2008.05.005",

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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.

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KW - Fluid-structure interaction

KW - Fourier error analysis

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Stability of a coupling technique for partitioned solvers in FSI applications

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