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The trapping of surface waves above a submerged, horizontal cylinder

Published online by Cambridge University Press:  20 April 2006

P. McIver  and
D. V. Evans
P. McIver
Affiliation:
School of Mathematics, University Walk, Bristol BS8 1TW
D. V. Evans
Affiliation:
School of Mathematics, University Walk, Bristol BS8 1TW
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Abstract

The existence of surface waves trapped above a submerged horizontal cylinder was shown by Ursell to depend upon the vanishing of a certain infinite determinant. Here, the determinant is evaluated numerically and the dispersion curves found. It is shown that the mild slope equation may be used to determine the dispersion relation and surface profiles with good accuracy and with less computational effort than the full linear theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 151 , February 1985 , pp. 243 - 255
Copyright
© 1985 Cambridge University Press

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