Numerical simulation of vortex-induced vibration of a smooth circular cylinder at the subcritical regime

Abstract

The present paper focuses on the simulation of vortex-induced vibration (VIV) of a rigid, smooth circular cylinder with elastic supports subject to a cross-flow at the subcritical regime of Reynolds number, 30,000<Re<80,000. The circular cylinder is allowed to move in one degree-of-freedom (DOF), heave. Unsteady Reynolds-averaged Navier-Stokes (URANS) equations are solved with Menter’s k — $ω$ based Shear Stress Transport based Scale-Adaptive Simulation, SAS-SST, turbulence model, and two-equation transition transport γ — θ model. The transport equations are discretized using the Finite Volume Method (FVM). The numerical amplitude and frequency ratio is compared against the experiments conducted in the Marine Renewable Energy Laboratory (MRELab) at the University of Michigan. The angle in which the computed lift leads the displacement in VIV is compared against experimental results reported by Cornell-ONR Water Channel as well. The existence of the initial, upper, and lower VIV response branches is demonstrated. Wake vortex pattern mode has been studied in the different branches of VIV. The time records of the added mass force coefficient and the vortex force coefficient are obtained. Then, the time-averaged phase angle of the vortex and added mass force coefficients are compared against the experimental results. Lastly, the time records of the phase angle in different branches of VIV are shown and analyzed.

Keywords

Vortex-induced vibration turbulence model ANSYS CFX wake vortex mode smooth circular cylinder two-dimensional simulation phase angle

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References

Sarpkaya

. A critical review of the intrinsic nature of vortex-induced vibrations. J Fluid Struct 2004; 19:389–447.

Williamson

Govardhan

. Vortex-induced vibrations. Annu Rev Fluid Mech 2004; 36:413–455.

Wanderley

JBV

Souza

GHB

Sphaier

, et al. Vortex-induced vibration of an elastically mounted circular cylinder using an upwind TVD two-dimensional numerical scheme. Ocean Eng 2008; 35:1533–1544.

Guilmineau

Queutey

. Numerical simulation of vortex-induced vibration of a circular cylinder with low mass-damping in a turbulent flow. J Fluid Struct 2004; 19:449–466.

Bernitsas

Maki

. RANS simulation vs. experiments of ﬂow induced motion of circular cylinder with passive turbulence control at 35,000 < Re < 130,000. In: ASME 2011 30th International conference on ocean, offshore and arctic engineering, Rotterdam, The Netherlands, 2011.

Ding

Zhang

Bernitsas

, et al. Numerical simulation and experimental validation for energy harvesting of single-cylinder VIVACE converter with passive turbulence control. Renew Energy 2016; 85:1246–1259.

Norberg

. Fluctuating lift on a circular cylinder: review and new measurements. J Fluid Struct 2003; 17:57–96.

Khalak

Williamson

CHK

. Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping. J Fluid Struct 1999; 13:813–851.

Raghavan

Bernitsas

. Experimental investigation of Reynolds number effect on vortex induced vibration of rigid circular cylinder on elastic supports. Ocean Eng 2011; 38:719–731.

10.

Zdravkovich

. Modification of vortex shedding in the synchronization range. J Fluid Eng 1982; 104:513–517.

11.

Chyu

Rockwell

. Timing of vortex formation from an oscillating cylinder. Phys Fluids 1994; 6:3677–3682.

12.

Meneghini

Bearman

. Numerical simulation of high amplitude oscillatory flow about a circular cylinder. J Fluid Struct 1995; 9:435–455.

13.

Dalton

. Calculation of the timing of vortex formation from an oscillating cylinder. J Fluid Struct 1996; 10:527–541.

14.

Govardhan

Williamson

CHK

. Modes of vortex formation and frequency response of a freely vibrating cylinder. J Fluid Mech 2000; 420:85–130.

15.

Bishop

RED

Hassan

. The lift and drag forces on a circular cylinder oscillating in a flowing fluid. Proc R Soc Lond A Math Phys Sci 1964; 277:51–75.

16.

Kinaci

Lakka

Sun

, et al. Computational and experimental assessment of turbulence simulation on ﬂow induced motion of circular cylinder. In: ASME 34th International conference on ocean, offshore and arctic engineering, St. John’s, Newfoundland, Canada, 31 May–5 June 2015.

17.

Kinaci

Lakka

Sun

, et al. Effect of tip-flow on vortex induced vibration of circular cylinders for Re<1.2*10⁵. Ocean Eng 2016; 117:130–142.

18.

Zdrakovich

. Flow around circular cylinder. Oxford: Oxford University Press, 1997. Vol. 1.

19.

Khalak

Williamson

. Dynamics of a hydroelastic cylinder with very low mass and damping. J Fluid Struct 1996; 10:455–472.

20.

Al-Jamal

Dalton

. Vortex induced vibrations using large eddy simulation at a moderate Reynolds number. J Fluid Struct 2004; 19:73–92.

21.

Tutar

Holdo

. Large eddy simulation of a smooth circular cylinder oscillating normal to a uniform flow. J Fluid Eng 2000; 122:694–702.

22.

Lee

Xiros

Bernitsas

. Virtual damper–spring system for VIV experiments and hydrokinetic energy conversion. Ocean Eng 2011; 38:732–747.

23.

Spalart

Allmaras

. A one-equation turbulence model for aerodynamic flows. In: AIAA 1992-439. 30th Aerospace Sciences Meeting and Exhibit, Reno, NV, January 1992.

24.

Menter

. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J 1994; 32(8): 1598–1605.

25.

Spalart

Jou

Strelets

, et al. Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach. In: Liu

Liu

(eds) Advances in DNS/LES. Columbus, OH: Greyden Press, 1997, pp.137–148.

26.

Menter

Egorov

. A scale-adaptive simulation model using two-equations models. AIAA paper 2005-1095, 2005.

27.

Wilcox

. Multiscale model for turbulent ﬂows. In: AIAA 24th aerospace sciences meeting. Reston, VA: American Institute of Aeronautics and Astronautics, 1986.

28.

Launder

Spalding

. The numerical computation of turbulent flows. Comput Methods Appl Mech Eng 1974; 3:269–289.

29.

Hughes

TJR

. The ﬁnite element method: linear static and dynamic ﬁnite element analysis. Englewood Cliffs, NJ: Prentice-Hall, 1987.

30.

Lighthill

. Fundamentals concerning wave loading on offshore structures. J Fluid Mech 1986; 173:667–681.