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Research Papers: Fluid-Structure Interaction

Low Mass-Damping Vortex-Induced Vibrations of a Single Cylinder at Moderate Reynolds Number

[+] Author and Article Information
Y. Jus

LAMSID,
UMR CNRS/EDF/CEA No 2832,
1 Avenue du Général de Gaulle,
Clamart cedex 92141, France;
UPMC
Univ Paris 06,
UMR 7190,
Institut Jean Le Rond d'Alembert,
Paris F-75005, France;
CNRS,
UMR 7190,
Institut Jean Le Rond d’Alembert,
Paris F-75005, France

E. Longatte

LAMSID,
UMR CNRS/EDF/CEA No 2832,
1 Avenue du Général de Gaulle,
Clamart cedex 92141, France

J.-C. Chassaing

UPMC
Univ Paris 06,
UMR 7190,
Institut Jean Le Rond d’Alembert,
Paris F-75005, France;
CNRS,
UMR 7190,
Institut Jean Le Rond d’Alembert,
Paris F-75005, France

P. Sagaut

UPMC
Univ Paris 06,
UMR 7190,
Institut Jean Le Rond d’Alembert,
Paris F-75005, France;
CNRS,
UMR 7190,
Institut Jean Le Rond d’Alembert,
Paris F-75005, France

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received September 23, 2013; final manuscript received May 9, 2014; published online August 19, 2014. Assoc. Editor: Samir Ziada.

J. Pressure Vessel Technol 136(5), 051305 (Aug 19, 2014) (7 pages) Paper No: PVT-13-1169; doi: 10.1115/1.4027659 History: Received September 23, 2013; Revised May 09, 2014

The feasibility and accuracy of large eddy simulation is investigated for the case of three-dimensional unsteady flows past an elastically mounted cylinder at moderate Reynolds number. Although these flow problems are unconfined, complex wake flow patterns may be observed depending on the elastic properties of the structure. An iterative procedure is used to solve the structural dynamic equation to be coupled with the Navier–Stokes system formulated in a pseudo-Eulerian way. A moving mesh method is involved to deform the computational domain according to the motion of the fluid structure interface. Numerical simulations of vortex-induced vibrations are performed for a freely vibrating cylinder at Reynolds number 3900 in the subcritical regime under two low mass-damping conditions. A detailed physical analysis is provided for a wide range of reduced velocities, and the typical three-branch response of the amplitude behavior usually reported in the experiments is exhibited and reproduced by numerical simulation.

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References

Figures

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Fig. 1

Representation of near-wall space grid refinement

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Fig. 2

Dimensionless displacement versus reduced velocity at Re = 3900 and m*= 2 with the present LES compared to DNS solutions of Lucor et al. [10] for Reynolds numbers 1000, 2000, and 3000

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Fig. 3

Reduced frequency f * versus reduced velocity at Re = 3900 and m* = 2 with the present LES compared to DNS solutions of Lucor et al. [10] for Reynolds numbers 1000, 2000, and 3000

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Fig. 4

Isosurface of pressure at 0.1 bar with present LES for reduced velocity equal to 3, 5, and 9 for m* = 1, m*ξ = 0.04, and Re = 3900

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Fig. 5

Comparison of response amplitude according to reduced velocity to the experimental data [23] for Re = 3900, m* = 1, and m*ξ = 0.04. Mean, minimal, and maximal values of dimensionless displacement.

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Fig. 6

Reduced frequency versus reduced velocity at Reynolds 3900 (m* = 1 and m*ξ = 0.04). Comparison between present solution and experimental reference.

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Fig. 7

Coherence and phase angle between lift force and displacement at Reynolds 3900, m* = 1, and m*ξ = 0.04. Comparison between present solution and experimental reference.

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Fig. 8

Phase planes obtained for m* = 1 and m*ξ = 0.04 at different reduced velocities: (a) U * = 3, (b) U * = 5, (c) U * = 5.5, and (d) U * = 10

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Fig. 9

Power spectral density of cross-flow velocity for reduced velocity U * = 9 at two levels y/D = 1 and y/D = −1 for four locations x/D = 1, 2, 3, 5

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Fig. 10

Lift coefficient in phase with acceleration for m* = 1 and m*ξ = 0.04 with the present LES for Re = 3900

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Fig. 11

Variation of mass added coefficient versus reduced velocity for Re = 3900, m* = 1, and m*ξ = 0.04. Present LES compared to linear model and to reference data.

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