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A general method for solving steady-state internal gravity wave problems

Published online by Cambridge University Press:  29 March 2006

D. G. Hurley
D. G. Hurley
Affiliation:
Department of Mathematics, University of Western Australia
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Abstract

The paper describes a simple but general method for solving 'steady-state’ problems involving internal gravity waves in a stably stratified liquid. Under the assumption that the motion is two-dimensional and that the Brunt-Väisälä frequency is constant, the method is used to re-derive in a very simple way the solutions to problems where the boundary of the liquid is either a wedge or a circular cylinder. The method is then used to investigate the effect that a model of the continental shelf has on an incident train of internal gravity waves. The method involves analytic continuation in the frequency of the disturbance, and may well prove to be effective for other types of wave problem.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 56 , Issue 4 , 28 December 1972 , pp. 721 - 740
Copyright
© 1972 Cambridge University Press

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