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The nonlinear excitation of synchronous edge waves by a monochromatic wave normally approaching a plane beach

Published online by Cambridge University Press:  26 April 2006

P. Blondeaux  and
G. Vittori
P. Blondeaux
Affiliation:
Dipartimento di Ingegneria delle Strutture, delle Acque e del Terreno, Università dell'Aquila, 67040 Monteluco di Roio, L'Aquila, Italy
G. Vittori
Affiliation:
Istituto di Idraulica, Universitá di Genova, Via Montallegro 1, 16145 Genova, Italy
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Abstract

The possible excitation of synchronous edge waves by a monocromatic wave normally approaching a plane beach is studied. Use is made of the full three-dimensional water wave theory but only beach angles β = π/(2N), where N is an integer, are considered. A weakly nonlinear stability analysis is used to investigate the interaction of subharmonic, synchronous and 3/2-frequency edge waves with the incoming wave field. It is shown that values of β exist for which an energy transfer from the incoming wave to the synchronous edge waves takes place through the intermediary of the subharmonic components.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 301 , 25 October 1995 , pp. 251 - 268
Copyright
© 1995 Cambridge University Press

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