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Edge waves over a shelf: full linear theory

Published online by Cambridge University Press:  20 April 2006

D. V. Evans  and
P. Mciver
D. V. Evans
Affiliation:
Department of Mathematics, University of Bristol
P. Mciver
Affiliation:
Department of Mathematics, University of Bristol
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Abstract

Edge-wave solutions to the linearized shallow-water equations for water waves are well known for a variety of bottom topographies. The only explicit solution using the full linearized theory describes edge waves over a uniformly sloping beach, although the existence of such waves has been established for a wide class of bottom geometries. In this paper the full linearized theory is used to derive the properties of edge waves over a shelf. In particular, curves are presented showing the variation of frequency with wavenumber along the shelf, together with some mode shapes for a particular shelf geometry.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 142 , May 1984 , pp. 79 - 95
Copyright
© 1984 Cambridge University Press

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