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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
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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

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References

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