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On trapped waves over a continental shelf

Published online by Cambridge University Press:  29 March 2006

John M. Huthnance
John M. Huthnance
Affiliation:
Department of Oceanography, University of Liverpool
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Abstract

Any straight continental shelf of monotonic depth profile is shown to have as its entire complement of barotropic trapped modes (i) an infinite discrete set of ‘continental-shelf waves’, (ii) a single ‘Kelvin wave’, and (iii) an infinite discrete set of ‘edge waves’. The decomposition of energy density and fluxes into modal constituents is discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 69 , Issue 4 , 24 June 1975 , pp. 689 - 704
Copyright
© 1975 Cambridge University Press

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References

Bowen, A. J. & Inman, D. L. 1971 Edge waves and crescentic bars J. Geophys. Res. 76, 8662–8671.Google Scholar
Buchwald, V. T. 1969 Long waves on oceanic ridges. Proc. Roy. Soc A 308, 343–354.Google Scholar
Buchwald, V. T. & Adams, J. K. 1968 The propagation of continental shelf waves Proc. Roy. Soc A 305, 235–250.Google Scholar
Caldwell, D. R., Cutchin, D. L. & LONGUET-HIGGINS, M. S. 1972 Some model experiments on continental shelf waves J. Mar. Res. 30, 39–55.Google Scholar
Eckart, C. 1951 Surface waves in water of variable depth. Lecture Notes, Fall Semester, 1950–1951. Mar. Phys. Lab. Scripps Inst. Oceanog. Wave Rep. no. 100. SIO Ref: 51-12.Google Scholar
Gill, A. E. & Schumann, E. H. 1974 The generation of long shelf waves by the wind. J. Phys. Oceanog. 4, 83–90.Google Scholar
Hamon, V. V. 1962 The spectrums of mean sea level at Sydney, Coff's Harbour, and Lord Howe Island J. Geophys. Res. 67, 5147–5155.Google Scholar
Hille, E. 1969 Lectures on Ordinary Differential Equations. Addison-Wesley.
Huthnance, J. M. 1973 The influence of topography on tidal currents. Ph.D. thesis, University of Cambridge.
Lamb, H. 1932 Hydrodynamics, 6th edn. Cambridge University Press.
Lindzen, R. S. 1966 On the theory of the diurnal tides Mon. Weather Rev. 94, 295–301.Google Scholar
LONGUET-HIGGINS, M. S. 1968 Double Kelvin waves with continuous depth profiles J. Fluid Mech. 34, 49–80.Google Scholar
Munk, W. H., Snodgrass, F. & Wimbush, M. 1970 Tides off shore; transition from California coastal to deep-sea waters Geophys. Fluid Dyn. 5, 161–235.Google Scholar
Robinson, A. R. 1964 Continental shelf waves and the response of sea level to weather systems J. Geophys. Res. 69, 367–686.Google Scholar