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On the temporal stability and accuracy of coupled problems with reference to fluid–structure interaction
Author(s) -
Joosten M. M.,
Dettmer W. G.,
Perić D.
Publication year - 2010
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2333
Subject(s) - benchmark (surveying) , fluid–structure interaction , stability (learning theory) , basis (linear algebra) , computational fluid dynamics , mathematics , work (physics) , computer science , mathematical optimization , physics , finite element method , mechanics , engineering , geometry , mechanical engineering , structural engineering , machine learning , geodesy , geography
This work investigates the effect of employing different time integration schemes in the sub‐domains of a coupled problem, such as fluid–structure interaction. On the basis of a one‐dimensional model problem and the two versions of the generalized‐α method developed for first‐ and second‐order systems, it is shown that the overall problem is likely to be less stable and less accurate than the individual sub‐problems unless special measures are taken. The benchmark problem of the oscillating flexible beam is used to demonstrate that these findings also apply to full computational fluid–structure interaction. Copyright © 2010 John Wiley & Sons, Ltd.