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Wave-induced oscillations in harbours of arbitrary geometry

Published online by Cambridge University Press:  29 March 2006

Jiin-Jen Lee
Jiin-Jen Lee
Affiliation:
W. M. Keck Laboratory of Hydraulics and Water Resources, California Institute of Technology
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Abstract

Wave-induced oscillations in harbours of constant depth but arbitrary shape in the horizontal plane connected to the open-sea are investigated both theoretically and experimentally. A theory termed the ‘arbitrary-shape harbour’ theory is developed. The solution of the Helmholtz equation is formulated as an integral equation which is then approximated by a matrix equation. The final solution is obtained by equating, at the harbour entrance, the wave amplitudes and their normal derivatives obtained from the solutions for the regions outside and inside the harbour. Special solutions using the method of separation of variables for the region inside circular and rectangular harbours are also obtained. Experiments were conducted to verify the theories. Four specific harbours were investigated: two circular harbours with 10° and 60° openings respectively, a rectangular harbour, and a model of the East and West Basins of Long Beach Harbour, California. In each case, the theoretical results agreed well with the experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 45 , Issue 2 , 30 January 1971 , pp. 375 - 394
Copyright
© 1971 Cambridge University Press

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