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Excitation of capillary waves by longer waves

Published online by Cambridge University Press:  26 April 2006

Kenneth M. Watson
Affiliation:
Marine Physical Laboratory, Scripps Institution of Oceanography, University of California at San Diego, San Diego, CA 92093-0213, USA
John B. Mcbride
Affiliation:
Science Applications International Corporation, 10260 Campus Point Drive, San Diego, CA 92121, USA

Abstract

At low wind speeds the shortest capillary waves appear to be generated hydrodynamically and not by the wind. This phenomenon is investigated using a Hamiltonian representation of the surface wave dynamics. A perturbation technique of Kolmogorov is used to transform away non-resonant, nonlinear interactions. Resonant interactions are treated by the Hasselmann transport equation, applied to the transformed variables. Calculated spectra show reasonable agreement with the observations of Jähne & Riemer (1990).

Type
Research Article
Copyright
© 1993 Cambridge University Press

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