Hostname: page-component-7b7567c8c-2n9c9 Total loading time: 0 Render date: 2026-11-15T09:11:16.877Z Has data issue: false hasContentIssue false
  • English
  • Français

Exact edge wave solutions for some generalised exponential shelf topographies

Published online by Cambridge University Press:  17 February 2009

J. P. Louis and
D. J. Clarke
J. P. Louis
Affiliation:
School of Applied Science Riverina-Murray Institute of Higher Education. P. O. Box 588, Wagga Wagga, N. S. W. 2650.
D. J. Clarke
Affiliation:
Department of Mathematics, The University of Wollongong, Wollongong, N. S. W. 2500.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

Exact wave-height solutions are presented for trapped waves over two new three-parameter depth topographies. Dispersive properties are calculated for both a semi-infinite and a truncated convex exponential profile, as well as for a semi-infinite concave profile. The analysis in all three cases is general in that both horizontal divergence and rotational effects are included. These solutions may be used for either high-frequency edge wave or low-frequency shelf wave studies by taking appropriate limits (f → 0 for edge wave and ε = f2L2/gH ≪ 1 for shelf waves).

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 27 , Issue 3 , January 1986, pp. 316 - 326
Copyright
Copyright © Australian Mathematical Society 1986

References

[1]Ball, F. K., “Edge waves in an ocean of finite depth”, Deep-Sea Res. 14 (1967), 79–88.Google Scholar
[2]Buchwald, V. T. and Adams, J. K., “The propagation of continental shelf waves”, Proc. Roy. Soc. A 305 (1968), 235–250.Google Scholar
[3]Clarke, D. J., “High frequency edge waves on an exponential shelf”, Dt. Hydrogr. Z. 26 (1973), 265–271.CrossRefGoogle Scholar
[4]Clarke, D. J. and Louis, J. P., “Edge waves over an exponential continental shelf in a uniformly rotating ocean”, Dt. Hydrogr. Z. 28 (1976), 168–179.CrossRefGoogle Scholar
[5]Erdelyi, A. (ed.), Higher transcendental functions. Vol. 1, Bateman manuscript project (McGraw-Hill, New York, 1953).Google Scholar
[6]Huntley, D. A. and Bowen, A. J., “Field observations of edge waves”, Nature 243 (1973), 160–162.CrossRefGoogle Scholar
[7]Veronis, G., “Rossby waves with bottom topography”, J. Mar. Res. 24 (1966), 338–349.Google Scholar