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Computation of the inviscid drift force caused by nonlinear waves on a submerged circular cylinder

  • Koh, Hyeok-Jun (Multidisciplinary Graduate School for Wind Energy, Jeju National University) ;
  • Cho, Il-Hyoung (Department of Ocean System Engineering, Jeju National University)
  • Published : 2011.09.30

Abstract

In this paper, we focused on computing the higher-harmonic components of the transmitted wave passing over a submerged circular cylinder to show that it is causing a horizontal negative drift force. As numerical models, a circular cylinder held fixed under free surface in deep water is adopted. As the submergence of a circular cylinder decreases and the incident wavelength becomes longer, the higher-harmonic components of the transmitted wave starts to increase. An increase of the higher-harmonic components of the transmitted wave makes the horizontal drift force be negative. It is also found that the higher-harmonic amplitudes averaged over the transmitted wave region become larger with the increase of wave steepness and wavelength as well as the decrease of submergence depth.

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References

  1. Cointe, R., 1989. Nonlinear simulation of transient free surface flows. In Proc. 5th Intl Conf. Num. Ship Hydro. Hiroshima. pp.239-250.
  2. Dean, W.R., 1948. On the reflection of surface waves by a submerged circular cylinder. Proc. Camb. Phil. Soc. 44, pp.483-491. https://doi.org/10.1017/S0305004100024506
  3. Grilli, S.T. Skourup, J. and Svendsen, I.A., 1989. An Efficient Boundary Element Method for Nonlinear Water Waves. Engineering Analysis with Boundary Elements, 6(2), pp.97-107. https://doi.org/10.1016/0955-7997(89)90005-2
  4. Grilli, S.T. and Subramanya, R., 1996. Numerical Modeling of Wave Breaking Induced by Fixed or Moving Boundaries. Computational Mechanics, 17(6), pp.374- 391. https://doi.org/10.1007/BF00363981
  5. Grilli, S.T. and Horrillo, J., 1997. Numerical Generation and Absorption of Fully Nonlinear Periodic Waves. J. Engineering Mechanics, 123(10), pp.1060-1069. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:10(1060)
  6. Grilli, S.T., 1998. Depth Inversion in Shallow Water Based on Nonlinear Properties of Shoaling Periodic Waves. Coastal Engineering, 35(3), pp.185-209. https://doi.org/10.1016/S0378-3839(98)00035-0
  7. Grilli, S.T. and Horrillo, J., 1999. Shoaling of periodic waves over barred-beaches in a fully nonlinear numerical wave tank. Intl. J. Offshore and Polar Engng, 9(4), pp.257-263.
  8. Grue, J., 1991. Nonlinear water waves at a submerged obstacle or bottom topography. Preprint Series of Institute of Mathmatics, University of Oslo. 2, pp.1-21.
  9. Inoue, R. and Kyozuka, Y., 1984. On the nonlinear wave force acting on submerged cylinders. J. Soc. Nav. Arch. Japan, 156, pp.115-127.
  10. Liu, Y. Dommermuth, D.G. and Yue, D.K.P., 1992. A higher-order spectral method for nonlinear wave-body interactions. J. Fluid Mech. 245, pp.115-136. https://doi.org/10.1017/S0022112092000375
  11. Longuet-Higgins, M.S., 1977. The mean forces exerted by waves on floating or submerged bodies with applications to sand bars and power machines. Proc. R. Soc. Lond. 352, pp.463-480. https://doi.org/10.1098/rspa.1977.0011
  12. Miyata, H. Khalil, G. Lee, Y.G. and Kanai, M., 1988. An experimental study of the nonlinear forces on horizontal cylinders. J. Kansai Soc. N.A. Japan, 209, pp.11-23.
  13. Ogilvie, T.F., 1963. First and second order forces on a cylinder submerged under the free surface. J. Fluid Mech. 16, pp.451-472. https://doi.org/10.1017/S0022112063000896
  14. Torum, A. and Gudmestad, O.T., 1990. Water Wave Kinematics. Kluwer Academic Publishers: Boston. pp.297-312.
  15. Ursell, F., 1950. Surface waves on deep water in the presence of a submerged circular cylinder. Proc. Camb. Phil. Soc., 46, I: pp.141-152, II: pp.153-158. https://doi.org/10.1017/S0305004100025561
  16. Vada, T., 1987. A numerical solution of the second-order wave diffraction problem for a submerged cylinder of arbitrary shape. J. Fluid Mech. 174, pp.23-37. https://doi.org/10.1017/S0022112087000028