DNS-DERIVED FORCE DISTRIBUTION ON FLEXIBLE CYLINDERS SUBJECT TO VORTEX-INDUCED VIBRATION

We use direct numerical simulation (DNS) based on spectral methods to simulate turbulent flow past rigid and flexible cylinders subject to vortex-induced vibrations (VIV). We present comparisons of amplitude, and lift and drag forces, at Reynolds number 1000 for a short and a long cylinder, and we examine differences between a traveling wave response and a standing wave response. The DNS data suggest that the often-used empirical formula proposed by Skop, Griffin & Ramberg in 1977 overpredicts the drag coefficient. We propose an appropriate modification and present preliminary results that indicate that low-dimensional modeling may be an accurate and efficient approach in predicting forces in VIV. Given the lack of any benchmark experiments in VIV currently, the DNS results presented here, both distributions as well as span- and time-averaged quantities, should be helpful to experimentalists and modelers.

[1]  T. Sarpkaya Fluid Forces on Oscillating Cylinders , 1978 .

[2]  R. Blevins,et al.  Flow-Induced Vibration , 1977 .

[3]  Michael S. Triantafyllou,et al.  Drag Forces and Flow-Induced Vibrations of a Long Vertical Tow Cable—Part I: Steady-State Towing Conditions , 1991 .

[4]  G. K. Furnes ON MARINE RISER RESPONSES IN TIME- AND DEPTH-DEPENDENT FLOWS , 2000 .

[5]  C. M. Alexander The complex vibrations and implied drag of a long oceanographic wire in cross-flow☆ , 1981 .

[6]  Thomas Staubli,et al.  Calculation of the Vibration of an Elastically Mounted Cylinder Using Experimental Data From Forced Oscillation , 1983 .

[7]  C. Williamson,et al.  Fluid Forces and Dynamics of a Hydroelastic Structure with Very Low Mass and Damping , 1997 .

[8]  George Em Karniadakis,et al.  Dynamics and flow structures in the turbulent wake of rigid and flexible cylinders subject to vortex-induced vibrations , 1999, Journal of Fluid Mechanics.

[9]  C. Williamson,et al.  DYNAMICS OF A HYDROELASTIC CYLINDER WITH VERY LOW MASS AND DAMPING , 1996 .

[10]  R. Skop,et al.  Strumming Predictions For The Seacon Ii Experimental Mooring , 1977 .

[11]  Franz S. Hover,et al.  Forces on oscillating uniform and tapered cylinders in cross flow , 1998, Journal of Fluid Mechanics.

[12]  G. Karniadakis,et al.  A direct numerical simulation study of flow past a freely vibrating cable , 1997, Journal of Fluid Mechanics.

[13]  Constantinos Evangelinos Parallel simulations of vortex-induced vibrations in turbulent flow: Linear and nonlinear models , 1999 .

[14]  A. Laneville,et al.  Vortex-induced vibrations of a long flexible circular cylinder , 1993, Journal of Fluid Mechanics.

[15]  R. Gopalkrishnan Vortex-induced forces on oscillating bluff cylinders , 1993 .

[16]  C. Feng The measurement of vortex induced effects in flow past stationary and oscillating circular and D-section cylinders , 1968 .

[17]  G. V. Parkinson,et al.  Phenomena and modelling of flow-induced vibrations of bluff bodies , 1989 .

[18]  Yang-Hann Kim,et al.  VORTEX-INDUCED VIBRATION AND DRAG COEFFICIENTS OF LONG CABLES SUBJECTED TO SHEARED FLOWS , 1986 .

[19]  M. Bloor,et al.  The transition to turbulence in the wake of a circular cylinder , 1964, Journal of Fluid Mechanics.