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Trapped waves over symmetric thin bodies

Published online by Cambridge University Press:  26 April 2006

D. V. Evans  and
P. McIver
D. V. Evans
Affiliation:
Department of Mathematics, University of Bristol, Bristol BS8 1TW, UK
P. McIver
Affiliation:
Department of Mathematics and Statistics, Brunei University, Uxbridge, Middlesex UB8 3PH, UK Present address: Department of Mathematical Sciences, Loughborough University of Technology, Loughborough, Leicestershire, LE11 3TU, UK.
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Abstract

Explicit relations are derived for the dependence of the longshore wavenumber on the wave frequency of symmetric trapped waves or edge waves travelling near the cutoff frequency over submerged horizontally symmetric thin bodies or near-vertical cliffs. Results for particular geometries are presented and shown to agree with certain explicit solutions for edge waves over sloping beaches or trapped waves over a submerged narrow shelf, or a semicircular mound on the sea bed. Similar results are obtained for thin bodies extending vertically throughout the depth in open channels or for thin cross-sections in an acoustic wave guide.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 223 , February 1991 , pp. 509 - 519
Copyright
© 1991 Cambridge University Press

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References

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