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The diffraction of Kelvin waves at a corner

Published online by Cambridge University Press:  28 March 2006

V. T. Buchwald
V. T. Buchwald
Affiliation:
Department of Applied Mathematics, The University of Sydney
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Abstract

In a uniform rotating liquid of uniform depth, Kelvin waves may be propagated in one direction along a straight boundary of the liquid. The Wiener-Hopf technique is used to obtain the wave field due to Kelvin waves incident at a rightangle corner. An asymptotic solution is obtained for the field far from the corner. It is shown that for low frequencies the Kelvin waves are propagated round the corner without change of amplitude, but that for high frequencies cylindrical waves of the ‘Poincaré’ type are generated at the corner, so that the amplitudes of the Kelvin waves propagated round the corner are reduced.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 31 , Issue 1 , 8 January 1968 , pp. 193 - 205
Copyright
© 1968 Cambridge University Press

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