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Kelvin-wave diffraction by a gap

Published online by Cambridge University Press:  09 April 2009

V. T. Buchwald  and
J. W. Miles
V. T. Buchwald
Affiliation:
University of New South WalesKensington, N. S. W. 2033, Australia.
J. W. Miles
Affiliation:
University of CaliforniaLa Jolla, California 9203 U. S. A.
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The problem of diffraction of a Kelvin wave by a narrow opening in a barrier separating two semi-infinite sheets of water is formulated as an integral equation. An approximate solution is obtained on the hypothesis that the gap is small compared with the length of the incident wave. The scattered disturbance comprises both Kelvin and Poincaré waves, and asymptotic formulate for their amplitudes are obtained. The results, which are relevant to tidal diffraction by a strait, reveal that the phase shift in the diffracted Kelvin wave is much larger than the corresponding shift induced by either a narrow channel or an inland sea opening into a semi-infinite ocean.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 17 , Issue 1 , February 1974 , pp. 29 - 34
Copyright
Copyright © Australian Mathematical Society 1974

References

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