Hostname: page-component-8448b6f56d-xtgtn Total loading time: 0 Render date: 2024-04-19T12:37:49.577Z Has data issue: false hasContentIssue false
  • English
  • Français

Wave forces on a circular dock

Published online by Cambridge University Press:  29 March 2006

C. J. R. Garrett
C. J. R. Garrett
Affiliation:
Institute of Geophysics and Planetary Physics, La Jolla, California
Get access Rights & Permissions [Opens in a new window]

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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 46 , Issue 1 , 15 March 1971 , pp. 129 - 139
Copyright
© 1971 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Garrett, C. J. R. 1970 Bottomless harbours J. Fluid Mech. 43, 433.Google Scholar
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.Google Scholar
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.Google Scholar
Miles, J. W. 1971 A note on variational principles for surface-wave scattering J. Fluid Mech. 46, 141.Google Scholar
Miles, J. W. & Gilbert, J. F. 1968 Scattering of gravity waves by a circular dock J. Fluid Mech. 34, 783.Google Scholar
Newman, J. N. 1962 The exciting forces on fixed bodies in waves. J. Ship Res. 6 (3), 10.Google Scholar