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Scattering of gravity waves by a circular dock

  • John Miles (a1) (a2) and Freeman Gilbert (a1) (a3)
  • DOI: http://dx.doi.org/10.1017/S0022112068002235
  • Published online: 01 March 2006
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.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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