Abstract
A series of fully three-dimensional (3D) numerical simulations of flow past a free-to-oscillate curved flexible riser in shear flow were conducted at Reynolds number of 185–1015. The numerical results obtained by the two-way fluid–structure interaction (FSI) simulations are in good agreement with the experimental results reported in the earlier study. It is further found that the frequency transition is out of phase not only in the inline (IL) and crossflow (CF) directions but also along the span direction. The mode competition leads to the non-zero nodes of the rootmean- square (RMS) amplitude and the relatively chaotic trajectories. The fluid–structure interaction is to some extent reflected by the transverse velocity of the ambient fluid, which reaches the maximum value when the riser reaches the equilibrium position. Moreover, the local maximum transverse velocities occur at the peak CF amplitudes, and the values are relatively large when the vibration is in the resonance regions. The 3D vortex columns are shed nearly parallel to the axis of the curved flexible riser. As the local Reynolds number increases from 0 at the bottom of the riser to the maximum value at the top, the wake undergoes a transition from a two-dimensional structure to a 3D one. More irregular small-scale vortices appeared at the wake region of the riser, undergoing large amplitude responses.
Similar content being viewed by others
References
Assi, G.R.S., Srinil, N., Freire, C.M. and Korkischko, I., 2014. Experimental investigation of the flow-induced vibration of a curved cylinder in convex and concave configurations, Journal of Fluids and Structures, 44, 52–66.
Bearman, P.W., 2011. Circular cylinder wakes and vortex-induced vibrations, Journal of Fluids and Structures, 27(5–6), 648–658.
Gao, Y., Fu, S.X., Ren, T., Xiong, Y.M. and Song, L.J., 2015. VIV response of a long flexible riser fitted with strakes in uniform and linearly sheared currents, Applied Ocean Research, 52, 102–114.
Gao, Y., Yang, J.D., Xiong, Y.M., Wang, M.H. and Peng, G., 2016. Experimental investigation of the effects of the coverage of helical strakes on the vortex-induced vibration response of a flexible riser, Applied Ocean Research, 59, 53–64.
Han, Q.H., Ma, Y.X., Xu, W.H., Lu, Y. and Cheng A.K., 2017. Dynamic characteristics of an inclined flexible cylinder undergoing vortex-induced vibrations, Journal of Sound and Vibration, 394, 306–320.
He, T., Zhou, D. and Bao, Y., 2012. Combined interface boundary condition method for fluid-rigid body interaction, Computer Methods in Applied Mechanics and Engineering, 223–224, 81–102.
Hilber, H.M., Hughes, T.J.R. and Taylor, R.L., 1977. Improved numerical dissipation for time integration algorithms in structural dynamics, Earthquake Engineering and Structural Dynamics, 5(3), 283–292.
Huang, S., Khorasanchi, M. and Herfjord, K., 2011. Drag amplification of long flexible riser models undergoing multi-mode VIV in uniform currents, Journal of Fluids and Structures, 27(3), 342–353.
Hughes, T.J.R., Liu, W.K. and Zimmermann, T.K., 1981. Lagrangian-Eulerian finite element formulation for incompressible viscous flows, Computer Methods in Applied Mechanics and Engineering, 29(3), 329–349.
Jiang, H.Y., Cheng, L., Draper, S., An, H.W. and Tong, F.F., 2016. Three-dimensional direct numerical simulation of wake transitions of a circular cylinder, Journal of Fluid Mechanics, 801, 353–391.
Kamble, C. and Chen, H.C., 2016. CFD prediction of vortex induced vibrations and fatigue assessment for deepwater marine risers, Ocean Systems Engineering, 6(4), 325–344.
Lehn, E., 2003. VIV Suppression Tests on High L/D Flexible Cylinders, Norwegian Marine Technology Research Institute, Trondheim, Norway.
Meneghini, J.R., Saltara, F., De Andrade Fregonesi, R., Yamamoto, C.T., Casaprima, E. and Ferrari Jr., J.A., 2004. Numerical simulation of VIV on long flexible cylinders immersed in complex flow fields, European Journal of Mechanics-B/Fluids, 23(1), 51–63.
Meng, D. and Chen, L., 2012. Nonlinear free vibrations and vortex-induced vibrations of fluid-conveying steel catenary riser, Applied Ocean Research, 34, 52–67.
Menter, F.R., 1994. Two-equation eddy-viscosity turbulence models for engineering applications, AIAA Journal, 32(8), 1598–1605.
Miliou, A., De-Vecchi, A., Sherwin, S.J. and Graham, J.M.R., 2007. Wake dynamics of external flow past a curved circular cylinder with the free stream aligned with the plane of curvature, Journal of Fluid Mechanics, 592, 89–115.
Quéau, L.M., Kimiaei, M. and Randolph, M.F., 2013. Dimensionless groups governing response of steel catenary risers, Ocean Engineering, 74, 247–259.
Rhie, C.M. and Chow, W.L., 1982. A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation, Proceedings of the 3rd Joint Thermophysics, Fluids, Plasma and Heat Transfer Conference, AIAA, St. Louis, USA.
Sarpkaya, T., 2004. A critical review of the intrinsic nature of vortexinduced vibrations, Journal of Fluids and Structures, 19(4), 389–447.
Seyed-Aghazadeh, B., Budz, C. and Modarres-Sadeghi, Y., 2015. The influence of higher harmonic flow forces on the response of a curved circular cylinder undergoing vortex-induced vibration, Journal of Sound and Vibration, 353, 395–406.
Seyed-Aghazadeh, B. and Modarres-Sadeghi, Y., 2016. Reconstructing the vortex-induced-vibration response of flexible cylinders using limited localized measurement points, Journal of Fluids and Structures, 65, 433–446.
Song, J.N., Lu, L., Teng, B., Park, H.I., Tang, G.Q. and Wu, H., 2011. Laboratory tests of vortex-induced vibrations of a long flexible riser pipe subjected to uniform flow, Ocean Engineering, 38(11–12), 1308–1322.
Trim, A.D., Braaten, H., Lie, H. and Tognarelli, M.A., 2005. Experimental investigation of vortex-induced vibration of long marine risers, Journal of Fluids and Structures, 21(3), 335–361.
Wang, E.H. and Xiao, Q., 2016. Numerical simulation of vortex-induced vibration of a vertical riser in uniform and linearly sheared currents, Ocean Engineering, 121, 492–515.
Willden, R.H.J. and Graham, J.M.R., 2001. Numerical prediction of VIV on long flexible circular cylinders, Journal of Fluids and Structures, 15(3–4), 659–669.
Williamson, C.H.K., 1992. The natural and forced formation of spotlike ‘vortex dislocations’ in the transition of a wake, Journal of Fluid Mechanics, 243, 393–441.
Williamson, C.H.K. and Govardhan, R., 2004. Vortex-induced vibrations, Annual Review of Fluid Mechanics, 36, 413–455.
Williamson, C.H.K. and Govardhan, R., 2008. A brief review of recent results in vortex-induced vibrations, Journal of Wind Engineering and Industrial Aerodynamics, 96(6–7), 713–735.
Wu, J., Lie, H., Larsen, C.M., Liapis, S. and Baarholm, R., 2016. Vortex-induced vibration of a flexible cylinder: Interaction of the in-line and cross-flow responses, Journal of Fluids and Structures, 63, 235–258.
Xu, W.H., Luan, Y.S., Han, Q.H., Ji, C.N. and Cheng, A.K., 2017. The effect of yaw angle on VIV suppression for an inclined flexible cylinder fitted with helical strakes, Applied Ocean Research, 67, 263–276.
Yamamoto, C.T., Meneghini, J.R., Saltara, F., Fregonesi, R.A. and Ferrari Jr., J.A., 2004. Numerical simulations of vortex-induced vibration on flexible cylinders, Journal of Fluids and Structures, 19(4), 467–489.
Zhu, H.J. and Yao, J., 2015. Numerical evaluation of passive control of VIV by small control rods, Applied Ocean Research, 51, 93–116.
Zhu, H.J., Lin, P.Z. and Yao, J., 2016. An experimental investigation of vortex-induced vibration of a curved flexible pipe in shear flows, Ocean Engineering, 121, 62–75.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: The research work was financially supported by the National Natural Science Foundation of China (Grant Nos. 11502220 and 51479126), the Youth Science and Technology Foundation of Sichuan Province (Grant No. 2017JQ0055), and the Youth Scientific and Technological Innovation Team of the Safety of Deep-Water Pipe Strings of Southwest Petroleum University (Grant No. 2017CXTD06).
Rights and permissions
About this article
Cite this article
Zhu, Hj., Lin, Pz. Numerical Simulation of the Vortex-Induced Vibration of A Curved Flexible Riser in Shear Flow. China Ocean Eng 32, 301–311 (2018). https://doi.org/10.1007/s13344-018-0031-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13344-018-0031-z