Iterative method for solving fully-coupled fluid solid systems
Application to simulation of cylinder flutter
DOI:
https://doi.org/10.13052/EJCM.19.653-670Keywords:
iterative solver, flow-induced vibration, flutter, dynamic instabilityAbstract
This work is concerned with the modelling of the interaction of a fluid with a rigid or a flexible elastic cylinder in the presence of axial or cross-flow. A partitioned procedure is involved to perform the computation of the fully-coupled fluid solid system. The fluid flow is governed by the incompressible Navier-Stokes equations and modeled by using a fractional step scheme combined with a co-located finite volume method for space discretisation. The motion of the fluid domain is accounted for by a moving mesh strategy through an Arbitrary Lagrangian-Eulerian (ALE) formulation. Solid dyncamics is modeled by a finite element method in the linear elasticity framework and a fixed point method is used for the fluid solid system computation. In the present work two examples are presented to show the method robustness and efficiency.
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References
Abouri, D., Parry, Hamdouni, A., Longatte, E., A stable fluid structure interaction algorithm :
application to industrial problems, Journal of Pressure Vessel Technology, vol. 128, n°4,
, pp. 516-524.
Archambeau, F., Méchouita, N., Sakiz, M., A finite volume method for the computation of
turbulent incompressible flows - Industrial applications, International Journal on Finite
Volumes, vol. 1, n° 1, 2004, pp. 1-62.
Axisa, F., Modélisation des systèmes mécaniques, Hermès, 2001.
Baj, F., de Langre, E., Scaling of damping induced by bubbly flow across tubes, Journal of
Fluids and Structures, vol. 17, 2003, pp. 351-364.
Blevins, R.D., Flow-induced vibrations, Van Nostrand Reinhold, 1977.
Brandle De Motta, J.C., Baj, F., 2009. Numerical study of tube array vibrations under crossflow.
Proceedings of AME Pressure Vessels and Piping Division Conference, Prague, Czech
Republic.
De Morais, M.V.G., Baj, F., Gibert, R.J., Magnaud, J.P., Numerical inertia and damping coefficients
determination of a tube-bundle in incompressible viscous laminar fluid, Latin
American Journal of Solids and Structures, vol. 4, 2007, pp. 179-203.
Donea, J., Giuliani, S., Halleux, J.P., An Arbitrary Lagrangian Eulerian finite element method
for transient dynamic fluid structure interactions, Computer in Applied Mechanics and
Engineering’s, vol. 33, n° 1-3, 1982, pp. 689-723.
Farhat, C., Geuzaine, P., Grandmont, C., The discrete geometric law and the non linear stability
of ALE schemes for the solution of flow problems on moving grids, Journal of
Computational Physics, vol. 174, n ° 2, 2001, pp. 669-694.
Feenstra, M., Weaver, D.S., Modeling two-phase flow excited damping and fluidelastic instability
in tube arrays, Journal of Fluids and Structures, vol. 16, n° 6, 1982, pp. 811-840.
Fernandez, M.A., Gerbeau, J.F., Grandmont, C., A projection semi-implicit scheme for the
coupling of an elastic structure with an incompressible fluid, International Journal for
Numerical Methods in Engineering, vol. 69, n° 4, 2007, pp. 794-821.
Fernandez-Varela, Simple models for fluid structure interaction, PhD report, 2001.
Gibert, J.R., Vibrations des structures, Eyrolles, 1988.
Granger, S., Paidoussis, M., An improvement of quasi-steady model with application to crossflow
induced vibration of tube arrays, Journal of Fluid Mechanics, vol. 320, 1996, pp.
-184.
Huvelin, F., Code coupling for fluid structure interaction and application to fluid-elastic instability,
PhD report, 2008.
Kassiotis, C., Non linear fluid structure interaction : a partitioned approach and its application
through component technology, PhD report, 2009.
Longatte, E., Verreman, V., Souli, M., TIme marching for simulation of fluid structure interaction
problems,Journal of Fluids and Structures, vol. 25, n° 1, 2009, pp. 95-111.
Maman, N., Farhat, C., Matching fluid and structure meshes for aero-elastic computations : a
parallel approach, Computers and Structures, vol. 54, n° 4, 1995, pp. 779-785.
Paidoussis, M., Fluid structure interaction : slender structures and axial flow, Academic Press
Inc, vol. 1, 2003.
Pettigrew, M.J., Taylor, C.E., Fluidelastic instability of heat-exchanger tube bundles : review
and design recommendations, Journal of Pressure Vessel Technology, vol. 113, 1991, pp.
-256.
Price, S.J., Paidoussis, M.P., An improved mathematical model for the stability of cylinder
rows subjected to cross flow, Journal of Sound and Vibration, vol. 97, 1984, pp. 615-640.
Piperno, S., Explicit fluid structure staggered procedures with a structure predictor and fluid
subcycling for two-dimensional inviscid aeroelastic simulations, International Journal of
Numerical Methods in Fluids, vol. 25, 1997, pp. 1197-1116.
Schaefer, M., Computational engineering, introduction to numerical methods, Springer, 2006.
Weaver, D.S., Some thougths on the elusive mechanims of fluid-elastic instability in heat
exchanger tube arrays, Proceedings of Flow-induced Vibrations Conference, 2008, Prague,
Czech Republic.