Stability of a coupling technique for partitioned solvers in FSI applications

Joris Degroote, Peter Bruggeman, Robby Haelterman, Jan Vierendeels

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135 Scopus citations

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 languageEnglish (US)
Pages (from-to)2224-2234
Number of pages11
JournalComputers and Structures
Volume86
Issue number23-24
DOIs
StatePublished - Dec 2008

Bibliographical 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).

Keywords

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

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