Performance of partitioned procedures in fluid-structure interaction

Joris Degroote; Robby Haelterman; Sebastiaan Annerel; Peter Bruggeman; Jan Vierendeels

doi:10.1016/j.compstruc.2009.12.006

Performance of partitioned procedures in fluid-structure interaction

Joris Degroote, Robby Haelterman, Sebastiaan Annerel, Peter Bruggeman, Jan Vierendeels

Hyperspectral Unit

University of Ghent

Onderzoeksoutput: Bijdrage aan een tijdschrift › Artikel › peer review

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Partitioned simulations of fluid-structure interaction can be solved for the interface's position with Newton-Raphson iterations but obtaining the exact Jacobian is impossible if the solvers are "black boxes". It is demonstrated that only an approximate Jacobian is needed, as long as it describes the reaction to certain components of the error on the interface's position. Based on this insight, a quasi-Newton coupling algorithm with an approximation for the inverse of the Jacobian (IQN-ILS) has been developed and compared with a monolithic solver in previous work. Here, IQN-ILS is compared with other partitioned schemes such as IBQN-LS, Aitken relaxation and Interface-GMRES(R).

Originele taal-2	Engels
Pagina's (van-tot)	446-457
Aantal pagina's	12
Tijdschrift	Computers and Structures
Volume	88
Nummer van het tijdschrift	7-8
DOI's	https://doi.org/10.1016/j.compstruc.2009.12.006
Status	Gepubliceerd - apr. 2010

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10.1016/j.compstruc.2009.12.006

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title = "Performance of partitioned procedures in fluid-structure interaction",

abstract = "Partitioned simulations of fluid-structure interaction can be solved for the interface's position with Newton-Raphson iterations but obtaining the exact Jacobian is impossible if the solvers are {"}black boxes{"}. It is demonstrated that only an approximate Jacobian is needed, as long as it describes the reaction to certain components of the error on the interface's position. Based on this insight, a quasi-Newton coupling algorithm with an approximation for the inverse of the Jacobian (IQN-ILS) has been developed and compared with a monolithic solver in previous work. Here, IQN-ILS is compared with other partitioned schemes such as IBQN-LS, Aitken relaxation and Interface-GMRES(R).",

keywords = "Aitken relaxation, Fluid-structure interaction, Interface-GMRES(R), Least-squares model, Partitioned, Quasi-Newton",

author = "Joris Degroote and Robby Haelterman and Sebastiaan Annerel and Peter Bruggeman 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 and the Ghent University Association. ",

year = "2010",

month = apr,

doi = "10.1016/j.compstruc.2009.12.006",

language = "English",

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AU - Degroote, Joris

AU - Haelterman, Robby

AU - Annerel, Sebastiaan

AU - Bruggeman, Peter

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 and the Ghent University Association.

PY - 2010/4

Y1 - 2010/4

N2 - Partitioned simulations of fluid-structure interaction can be solved for the interface's position with Newton-Raphson iterations but obtaining the exact Jacobian is impossible if the solvers are "black boxes". It is demonstrated that only an approximate Jacobian is needed, as long as it describes the reaction to certain components of the error on the interface's position. Based on this insight, a quasi-Newton coupling algorithm with an approximation for the inverse of the Jacobian (IQN-ILS) has been developed and compared with a monolithic solver in previous work. Here, IQN-ILS is compared with other partitioned schemes such as IBQN-LS, Aitken relaxation and Interface-GMRES(R).

AB - Partitioned simulations of fluid-structure interaction can be solved for the interface's position with Newton-Raphson iterations but obtaining the exact Jacobian is impossible if the solvers are "black boxes". It is demonstrated that only an approximate Jacobian is needed, as long as it describes the reaction to certain components of the error on the interface's position. Based on this insight, a quasi-Newton coupling algorithm with an approximation for the inverse of the Jacobian (IQN-ILS) has been developed and compared with a monolithic solver in previous work. Here, IQN-ILS is compared with other partitioned schemes such as IBQN-LS, Aitken relaxation and Interface-GMRES(R).

KW - Aitken relaxation

KW - Fluid-structure interaction

KW - Interface-GMRES(R)

KW - Least-squares model

KW - Partitioned

KW - Quasi-Newton

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JO - Computers and Structures

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Performance of partitioned procedures in fluid-structure interaction

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