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On the excitation of edge waves on beaches

Published online by Cambridge University Press:  11 April 2006

A. A. Minzoni  and
G. B. Whitham
A. A. Minzoni
Affiliation:
Applied Mathematics, California Institute of Technology, Pasadena
G. B. Whitham
Affiliation:
Applied Mathematics, California Institute of Technology, Pasadena
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Abstract

The excitation of standing edge waves of frequency ½ω by a normally incident wave train of frequency ω has been discussed previously (Guza & Davis 1974; Guza & Inman 1975; Guza & Bowen 1976) on the basis of shallow-water theory. Here the problem is formulated in the full water-wave theory without making the shallow-water approximation and solved for beach angles β = π/2N, where N is an integer. The work confirms the shallow-water results in the limit N [Gt ] 1, shows the effect of larger beach angles and allows a more complete discussion of some aspects of the problem.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 79 , Issue 2 , 22 February 1977 , pp. 273 - 287
Copyright
© 1977 Cambridge University Press

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