Hostname: page-component-8448b6f56d-mp689 Total loading time: 0 Render date: 2024-04-19T01:30:47.020Z Has data issue: false hasContentIssue false

Shelfbreak upwelling induced by alongshore currents: analytical and numerical results

Published online by Cambridge University Press:  23 September 2011

Robert N. Miller*
Affiliation:
College of Oceanic and Atmospheric Sciences, Oregon State University, Corvallis, OR 97331-5503, USA INRIA Grenoble Rhône-Alpes, Laboratoire Jean Kuntzman, 38041 Grenoble, France
Ricardo P. Matano
Affiliation:
College of Oceanic and Atmospheric Sciences, Oregon State University, Corvallis, OR 97331-5503, USA
Elbio D. Palma
Affiliation:
Departmento de Fisica, Universidad Nacional del Sur and Instituto Argentino de Oceanografia (CONICET), 8000, Bahia Blanca, Argentina
*
Email address for correspondence: miller@coas.oregonstate.edu

Abstract

Alongshore flow in the direction of propagation of coastal trapped waves can result in upwelling at the shelfbreak. The intensity of this upwelling can be comparable in magnitude to wind-driven coastal upwelling, with its associated ecological features. Recent numerical experiments by Matano & Palma indicate that this upwelling results from convergence of Ekman transport at the shelfbreak. The mechanism for this phenomenon can be understood in terms of steady solutions to the shallow water equations in the presence of Coriolis force and bottom drag. Matano & Palma interpreted their numerical results in terms of the arrested topographic wave, but did not present direct comparisons. Here we present a family of analytical solutions to the equations of the arrested topographic wave that shows striking quantitative agreement with earlier numerical results.

Type
Papers
Copyright
Copyright © Cambridge University Press 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Blumberg, A. F. & Mellor, G. L. 1987 A description of a three-dimensional coastal ocean circulation model. In Three-Dimensional Coastal Ocean Models (ed. Heaps, N. ), Coastal Estuarine Science , vol. 4. pp. 116. Am. Geophys. Union.CrossRefGoogle Scholar
2. Carslaw, H. S. & Jaeger, J. C. 1959 Conduction of Heat in Solids. Oxford University Press.Google Scholar
3. Chapman, D. C. 1986 A simple model of the formation and maintenance of the shelf/slope front in the Middle Atlantic Bight. J. Phys. Oceanogr. 16, 12731279.Google Scholar
4. Csanady, G. T. 1978 The arrested topographic wave. J. Phys. Oceanogr. 8, 4762.2.0.CO;2>CrossRefGoogle Scholar
5. Gawarkiewicz, G. & Chapman, D. C. 1991 Formation and maintenance of shelfbreak fronts in an unstratified flow. J. Phys. Oceanogr. 21, 12251239.Google Scholar
6. Hill, A. E. 1995 Leakage of barotropic slope current onto the continental shelf. J. Phys. Oceanogr. 25, 16171621.2.0.CO;2>CrossRefGoogle Scholar
7. Matano, R. P. & Palma, E. D. 2008 On the upwelling of downwelling currents. J. Phys. Oceanogr. 38, 24822500.CrossRefGoogle Scholar
8. Pedlosky, J. 1979 Geophysical Fluid Dynamics. Springer.CrossRefGoogle Scholar
9. Pickart, R. S. 2000 Bottom boundary layer structure and detachment in the shelfbreak jet of the Middle Atlantic Bight. J. Phys. Oceanogr. 30, 26682686.2.0.CO;2>CrossRefGoogle Scholar