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Wave forces on a circular dock

  • C. J. R. Garrett (a1)
Abstract

The scattering of surface gravity waves by a circular dock is considered in order to determine the horizontal and vertical forces and torque on the dock. An incident plane wave is expanded in Bessel functions, and for each mode the problem is formulated in terms of the potential on the cylindrical surface containing the dock and extending to the bottom. The solution is shown to have phase independent of depth and so may be obtained from an infinite set of real equations, which are solved numerically by Galerkin's method. The convergence of the solution is discussed, and some numerical results are presented.

This problem has been investigated previously by Miles & Gilbert (1968) by a different method, but their work contained errors.

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References
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Garrett, C. J. R.1970 Bottomless harbours J. Fluid Mech. 43, 433.
Haskind, M. D.1957 The exciting forces and wetting of ships in waves. Izvestia Akademii Nauk S.S.S.R., Otdelenie Technicheskikh Nauk, no. 7, p. 65. (David Taylor Model Basin Translation, no. 307, 1962.
MacCamy, R. C. & Fuchs, R. A.1954 Wave forces on piles: a diffraction theory. U.S. Army Corps of Engineers Beach Erosion Board, Tech. Mem. no. 69.
Miles, J. W.1971 A note on variational principles for surface-wave scattering J. Fluid Mech. 46, 141.
Miles, J. W. & Gilbert, J. F.1968 Scattering of gravity waves by a circular dock J. Fluid Mech. 34, 783.
Newman, J. N.1962 The exciting forces on fixed bodies in waves. J. Ship Res. 6 (3), 10.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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