Abstract
This paper proposes a numerical simulation method for the dynamic motion of a flexible riser pipe undergoing vortex-induced vibration (VIV). The method is based on a finite difference scheme for solving nonlinear structural dynamics of the pipe and wake oscillator model for quantifying vortex-induced forces acting on the pipe, the combination of which can offer a very efficient and stable computation. To investigate the accuracy of the method, we performed simulations of the VIV of riser pipes under uniform flow and sheared flow conditions; and then compared obtained results with experiments of preceding works. We consequently confirmed that the present method can simulate a couple of important aspects of the VIV of the pipes: frequency, mode shape, and amplitude of displacement of cross-flow displacement.
Similar content being viewed by others
References
Holmes S, Oakley OH, Constantinides Y (2006) Simulation of riser viv using fully three dimensional cfd simulations. Proc OMAE2006, ASME
Constantinides Y, Oakley OH, Holmes S (2007) CFD high L/D riser modeling study. Proc OMAE2007, ASME
Chen W, Li M, Zheng Z, Tan T (2012) Dynamic characteristics and VIV of deep water riser with axially varying structural properties. J Ocean Eng 42:7–12
Hartlen RT, Currie IG (1970) Lift-oscillator model of vortex induced vibration. J Eng Mech Div 96(EM5):577–591
Tamura Y, Matsui G (1979) Wake-oscillator model of vortex-induced oscillation of circular cylinder. Proceedings of the 5th international conference on wind engineering. CO, USA, pp 1085–1094
Gabbai RD, Benaroya H (2005) An overview of modeling and experiments of vortex-induced vibration of circular cylinders. J Sound Vib 282:575–616
Tamura Y (1978) Vortex induced vibration of circular cylinder (Part I Wake oscillator model) (in Japanese). Trans Archit Inst Jpn 266:87–95
Nishi Y, Kokubun K, Hoshino K, Uto S (2009) Quasisteady theory for the hydrodynamic forces on a circular cylinder undergoing vortex-induced vibration. J Mar Sci Technol 14:285–295
Facchinetti ML, Langre E, Biolley F (2004) Coupling of structure and wake oscillators in vortex-induced vibrations. J Fluids Struct 19:123–140
Facchinetti ML, Langre E, Biolley F (2004) Vortex-induced travelling waves along a cable. Eur J Mech B/Fluids 23:199–208
Violette R, Langre E, Szydlowski J (2007) Computation of vortex-induced vibrations of long structures using a wake oscillator model: comparison with DNS and experiments. J Comp Struct 85:1134–1141
Xu WH, Zeng HX, Wu YX (2008) High aspect ratio(L/D) riser VIV prediction using wake oscillator model. J Ocean Eng 35:1769–1774
Kuchnicki SN, Benaroya H (2002) Coupled transverse and axial motion of a compliant structure in response to vortex-shedding loads. J Sound Vib 257(5):903–929
Srinil N, Wiercigroch M, Patrick B (2009) Reduced-order modelling of vortex-induced vibration of catenary riser. J Ocean Eng 36:1404–1414
Howell CT (1992) Investigation of the dynamics of low tension cables. Ph.D. Thesis. MIT, Cambridge (MA)
Tjavaras AA, Zhu Q, Liu Y, Triantafyllou MS, Yue DKP (1998) The mechanics of highly extensible cables. J Sound Vib 213:709–737
Chatjigeorgiou IK (2010) On the effect of internal flow on vibrating catenary risers in three dimensions. J Eng Struct 32:3313–3329
Hoffman JD (1993) Numerical methods for engineers and scientists. McGraw-Hill, New York
Chatjigeorgiou IK (2010) Three dimensional non linear dynamics of submerged, extensible catenary pipes conveying fluid and subjected to end-imposed excitations. J Nonlinear Mech 45:667–680
Chatjigeorgiou IK (2008) A finite differences formulation for the linear and nonlinear dynamics of 2D catenary risers. J Ocean Eng 35:616–636
Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1986) Numerical recipes. Cambridge University Press, Cambridge
di Silvio G (1969) Self-controlled vibration of cylinder in fluid stream. J Eng Mech Div 95(2):347–361
Trim AD, Braatenb H, Lie H, Tognarellic MA (2005) Experimental investigation of vortex-induced vibration of long marine risers. J Fluids Struct 21:335–361
Song JN, Lu L, Teng B, Park HI, Tang GQ, Wua H (2011) Laboratory tests of vortex-induced vibrations of along flexible riser pipe subjected to uniform flow. J Ocean Eng 38:1308–1322
Lie H, Kaasen KE (2006) Modal analysis of measurements from a large-scale VIV model test of a riser in linearly sheared flow. J Fluids Struct 22:557–575
Author information
Authors and Affiliations
Corresponding author
About this article
Cite this article
Doan, VP., Nishi, Y. Modeling of fluid–structure interaction for simulating vortex-induced vibration of flexible riser: finite difference method combined with wake oscillator model. J Mar Sci Technol 20, 309–321 (2015). https://doi.org/10.1007/s00773-014-0284-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00773-014-0284-z