Journal of Fluid Mechanics

Scattering of gravity waves by a circular dock

John  Miles a1p1 and Freeman  Gilbert a1p2
a1 Institute of Geophysics and Planetary Physics, University of California, La Jolla

Article author query
miles j   [Google Scholar] 
gilbert f   [Google Scholar] 


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.

(Published Online March 28 2006)
(Received May 6 1968)

p1 Also Department of Aerospace and Mechanical Engineering Sciences.
p2 Also Scripps Institution of Oceanography.