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Scattering of gravity waves by a circular dock

Published online by Cambridge University Press:  28 March 2006

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.

Abstract

The scattering of a gravity wave of wave number k by a circular dock of radius a and draft dh 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
Copyright
© 1968 Cambridge University Press

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References

ERDÉLYI, A., Magnus, W., Oberhettinger, F. & Tricomi, F. G. 1953 Higher Transcendental Functions, Vol. 2. New York: McGraw-Hill.
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Levine, H. & Schwinger, J. 1948 On the theory of diffraction by an aperture in a plane screen. I Phys. Rev. 74, 95874.Google Scholar
Morse, P. M. & Feshbach, H. 1953 Methods of Theoretical Physics. Part II. New York: McGraw-Hill.