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Nonlinear resonant excitation of a long and narrow bay

Published online by Cambridge University Press:  19 April 2006

Steven R. Rogers  and
Chiang C. Mei
Steven R. Rogers
Affiliation:
Department of Applied Mathematics, Weizmann Institute of Science, Israel
Chiang C. Mei
Affiliation:
Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge
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Abstract

A nonlinear study of harbour resonance is carried out for a rectangular bay indented from a straight coast. Boussinesq equations with nonlinearity and dispersion are used. Simplifying approximations are made for a narrow bay to decouple the nonlinear problem in the bay from the approximately linear problem in the ocean. Harmonic generation in the bay is studied numerically. Experiments for three different bay lengths and three amplitudes are compared with the numerical theory. The relative importance of entrance loss and boundary-layer dissipation to nonlinearity is estimated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 88 , Issue 1 , 13 September 1978 , pp. 161 - 180
Copyright
© 1978 Cambridge University Press

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