Journal of Fluid Mechanics

Nonlinear resonant excitation of a long and narrow bay

Steven R.  Rogers a1 and Chiang C.  Mei a2
a1 Department of Applied Mathematics, Weizmann Institute of Science, Israel
a2 Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge

Article author query
rogers sr   [Google Scholar] 
mei cc   [Google Scholar] 


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.

(Published Online April 19 2006)
(Received July 29 1977)
(Revised January 19 1978)