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Scattering of gravity waves by a circular dock

Published online by Cambridge University Press:  28 March 2006

John Miles  and
Freeman Gilbert
John Miles
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, La Jolla Also Department of Aerospace and Mechanical Engineering Sciences.
Freeman Gilbert
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, La Jolla Also Scripps Institution of Oceanography.
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Abstract

The scattering of a gravity wave of wave number k by a circular dock of radius a and draft d – h in water of depth d is calculated through a variational approximation. The total and differential scattering cross-sections, the peripheral displacement, and the lateral force on the dock are presented as functions of ka with d/a and h/d as parameters and compared with the classical results for a circular cylinder (h = 0). A pronounced resonance is found near ka = 2 for certain values of d/a and h/d.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 34 , Issue 4 , 23 December 1968 , pp. 783 - 793
Copyright
© 1968 Cambridge University Press

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References

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