Mathematical Analysis of Continental Shelf Waves on a Curved Coast

Lead Research Organisation: Heriot-Watt University
Department Name: S of Mathematical and Computer Sciences

Abstract

Measurements of velocity fields along the coasts of oceans throughout the world show that much of the fluid energy is contained in motions with periods of a few days or longer. The comparison of measurements at different places along the same coast show that in general these low-frequency disturbances propagate along coasts with shallow water to the right in the northern hemisphere and to the left in the southern hemisphere. These waves have come to be known as continental shelf waves (CSWs). The purpose of the present proposal is to determine, using a selection of models of increasing complexity, the form of non-propagating, trapped CSWs along curved coasts. The existence of such non-propagating modes is significant as they would tend to be forced by atmospheric weather systems, which have similar periods of a few days, similar horizontal extent, and a reasonably broad spectrum in space and time. Areas where such modes were trapped would thus appear to be likely to show higher than normal energy in the low frequency horizontal velocity field.

Publications

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Kaoullas G (2010) Geographically localised shelf waves on curved coasts in Continental Shelf Research

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Kaoullas G (2010) Fast accurate computation of shelf waves for arbitrary depth profiles in Continental Shelf Research

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L Boulton (2010) A PT-symmetric periodic problem with boundary and interior singularities in Journal of Differential Equations

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Levitin Michael (2008) A simple method of calculating eigenvalues and resonances in domains with infinite regular ends in PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Related Projects

Project Reference Relationship Related To Start End Award Value
EP/D054621/1 01/09/2006 31/08/2007 £146,576
EP/D054621/2 Transfer EP/D054621/1 25/02/2008 24/02/2010 £100,917