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Weakly nonlinear interactions and wave trapping

Published online by Cambridge University Press:  20 April 2006

Yuriko Renardy
Yuriko Renardy
Affiliation:
University of Wisconsin–Madison, Mathematics Research Center, 610 Walnut Street, Madison, Wisconsin 53705
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Abstract

When the flow over a submerged, round, upright cylinder, situated in a large ocean, is forced by a train of plane waves, linear theory (Yamamuro 1981) shows that the response can be abnormally large for certain forcing frequencies. The aim of this paper is to present a weakly nonlinear theory, where wave interactions, arising from the quadratic terms in the free-surface boundary conditions, can yield abnormally large responses.

A specific interaction will be considered between a flow at a subharmonic frequency and a flow at the driving frequency. The reason for considering such an interaction derived from a consideration of some experimental results of Barnard, Pritchard & Provis (1981).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 130 , May 1983 , pp. 27 - 39
Copyright
© 1983 Cambridge University Press

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