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.
Organisations
Publications
Kaoullas G
(2010)
Fast accurate computation of shelf waves for arbitrary depth profiles
in Continental Shelf Research
Kaoullas G
(2010)
Geographically localised shelf waves on curved coasts
in Continental Shelf Research
L Boulton
(2010)
A PT-symmetric periodic problem with boundary and interior singularities
in Journal of Differential Equations
Levitin M
(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
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