Abstract
This paper discusses partitioned analysis approaches for the transient interaction of incompressible viscous flows and nonlinear flexible structures with large deformations. It is shown that for this kind of coupled systems the commonly used sequential staggered coupling schemes exhibit weak instabilities and may eventually fail, mainly due to inconsistencies in the coupling boundary conditions. As best remedy to this problem subiterations should be invoked which ensure kinematic and dynamic continuity across the fluid-structure interface, thus ensuring stable and accurate numerical solutions even for long-time simulations. For the desirable acceleration of convergence of such iterative substructuring schemes two robust and problem-independent methods are proposed and their efficiency is demonstrated with selected numerical examples.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Irons B., Tuck, R.C. (1969) A version of the Aitken accelerator for computer implementation, Int. J. Num. Meth. Eng., 1, 275–277
Felippa, C.A., Park, K.C., DeRuntz, J.A. (1977) Stabilization of staggered solution procedures for fluid-structure interaction analysis, in: T. Belytschko and T.L. Geers (Eds.), Computational Methods for Fluid-Structure Interaction Problems, AMD Vol. 26, ASME, New York, 95–124
Felippa, C.A., Park, K.C. (1980) Staggered transient analysis procedures for coupled mechanical systems: Formulation, Comp. Meth. Appl. Mech. Eng., 24, 61–111
Chung, J., Hulbert, G.M. (1993) A time integration algorithm for structural dynamics with imporved numerical dissipation: The Generalized-a method, J. Appl. Math., 60, 371–375
Piperno, S. (1997) Explicit/implicit fluid/structure staggered procedures with a structural predictor and fluid subcycling for 2D inviscid aeroelastic simulations, Int. J. Num. Meth. Fluids, 25, 1207–1226
Lesoinne, M., Farhat, C. (1998) A higher-order subiteration free staggered algorithm for nonlinear transient aeroelastic problems, AIAA Journal, 36(9), 17541756
Wall, W.A., Ramm, E. (1998) Fluid-structure interaction based upon a stabilized (ALE) finite element method, in: E. Orate and S. Idelsohn S. (Eds.), Computational Mechanics, Proc. WCCM I V, Buenos Aires, CIMNE, Barcelona
Wall, W.A. (1999) Fluid-Struktur-Interaktion mit stabilisierten Finiten Elementen, Ph.D.-Dissertation, Report No. 31, Institute of Structural Mechanics, University of Stuttgart
Wall, W.A., Mok, D.P., Ramm, E. (1999) Partitioned Analysis Approach of the Transient, Coupled Response of Viscous Fluids and Flexible Structures, in: W. Wunderlich (Ed.), Solids, Structures and Coupled Problems in Engineering, Proc. ECCM ‘89, Munich
Le Tallec, P., Mouro, J. (2001) Fluid structure interaction with large structural displacements, Comp. Meth. Appl. Mech. Eng, 190, 3039–3067
Mok, D.P. (2001) Partitionierte Lösungsansätze in der Strukturdynamik and der Fluid-Struktur-Interaktion, Ph.D.-Dissertation, Report No. 36, Institute of Structural Mechanics, University of Stuttgart
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wall, W.A., Mok, D.P., Ramm, E. (2003). Iterative Substructering Schemes for Fluid Structure Interaction. In: Wendland, W., Efendiev, M. (eds) Analysis and Simulation of Multifield Problems. Lecture Notes in Applied and Computational Mechanics, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36527-3_43
Download citation
DOI: https://doi.org/10.1007/978-3-540-36527-3_43
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05633-8
Online ISBN: 978-3-540-36527-3
eBook Packages: Springer Book Archive