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The generation of surface waves over a sloping beach by an oscillating line source

III. The three-dimensional problem and the generation of edge waves

Published online by Cambridge University Press:  24 October 2008

Clare A. N. Morris
Clare A. N. Morris
Affiliation:
Bristol Polytechnic, Stoke Gifford, Bristol
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Abstract

A line source whose strength varies sinusoidally with time and also with the co-ordinate measured along its length is situated parallel to the shoreline of a beach of angle ¼π0. Both long-and short-wave solutions are found. It is shown that for certain positions of the source, long waves are not radiated to infinity, while in the short-wave regime, the solutions take the form of edge-waves, with resonances occurring at certain wavenumbers. Computations of the free-surface contours are presented for a range of wavenumbers.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 79 , Issue 3 , May 1976 , pp. 573 - 585
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

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