Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-22T02:34:06.884Z Has data issue: false hasContentIssue false

A laboratory experiment and numerical simulation of an isolated barotropic eddy in a basin with topographic β

Published online by Cambridge University Press:  26 April 2006

Akira Masuda
Affiliation:
Ocean Research Institute, University of Tokyo, Tokyo 164, Japan
Kenji Marubayashi
Affiliation:
Research Institute for Applied Mechanics, Kyushu University, Kasuga 816, Japan
Michiyoshi Ishibashi
Affiliation:
Research Institute for Applied Mechanics, Kyushu University, Kasuga 816, Japan

Abstract

An initial localized eddy was generated in a rotating tank by a source–sink method to study the behaviour of an isolated barotropic eddy on a β-plane. The evolution of the eddy was compared with the laboratory experiments by Firing & Beardsley (1976) and by Takematsu & Kita (1985, 1988), confirming the northwestward (southwestward) translation of a cyclonic (anticyclonic) isolated eddy due to nonlinear effects. Anticyclonic eddies were contrasted with cyclonic eddies in the tank experiment, showing a cyclonic–anticyclonic asymmetry due to the topographic β as a substitute for the planetary β. The fluid experiment was simulated well by numerical simulation based on the quasi-geostrophic vorticity equation. Numerical experiments verified the northwestward (southwestward) translation both for an initially Gaussian and initially Rankine-type isolated cyclonic (anticyclonic) eddy.

Type
Research Article
Copyright
© 1990 Cambridge University Press

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

Adem, J. 1956 A series solution of barotropic equation and its application in the study of atmospheric vortices. Tellus 8, 364372.Google Scholar
Carnevale, G. F., Vallis, G. K. & Purini, R. 1988 Propagation of barotropic modons over topography. Geophys. Astrophys. Fluid Dyn. 41, 45101.Google Scholar
Firing, E. & Beardsley, R. C. 1976 The behavior of a barotropic eddy on a β-plane. J. Phys. Oceanogr. 6, 5765.Google Scholar
Flierl, G. R. 1977 The application of linear quasi-geostrophic dynamics to Gulf Stream Rings. J. Phys. Oceanogr. 7, 365379.Google Scholar
Flierl, G. R. 1987 Isolated eddy models in geophysics. Ann. Rev. Fluid Mech. 19, 493530.Google Scholar
Holland, W. R. 1978 The role of mesoscale eddies in the general circulation of the oceannumerical experiments using a wind driven quasi-geostrophic model. J. Phys. Oceanogr. 8, 363392.Google Scholar
Holland, W. R. & Rhines, P. B. 1980 An example of eddy-induced ocean circulation. J. Phys. Oceanogr. 10, 10101031.Google Scholar
Holloway, G., Riser, D. C. & Ramsden, D. 1986 Tracer anomaly evolution in the flow field of an isolated eddy. Dyn. Atmos. Oceans 10, 165184.Google Scholar
Masuda, A. 1988 A skewed eddy of Batchelor-modon type. J. Oceanogr. Soc. Japan 44, 189199.Google Scholar
Masuda, A., Marubayashi, K. & Ishibashi, M. 1987a Batchelor-modon type eddies and isolated eddies near the coast of an f-plane. J. Oceanogr. Soc. Japan 43, 383394.Google Scholar
Masuda, A., Marubayashi, K. & Ishibashi, M. 1987b A laboratory and numerical experiment on the behavior of an isolated barotropic eddy on a β-plane. Rep. Res. Inst. Appl. Mech., Kyushu University, vol. 65, pp. 67–78 (in Japanese).Google Scholar
Mcwilliams, J. C. & Flierl, G. R. 1979 On the evolution of isolated nonlinear vortices. J. Phys. Oceanogr. 9, 11551182.Google Scholar
Mied, R. P. & Lindemann, G. R. 1979 The propagation and evolution of cyclonic Gulf Stream rings. J. Phys. Oceanogr. 9, 11831206.Google Scholar
Mizuno, K. & White, B. 1983 Annual and interannual variability in the Kuroshio Current System. J. Phys. Oceanogr. 13, 154159.Google Scholar
Nof, D. 1981 On the β-induced movement of isolated barotropic eddies. J. Phys. Oceanogr. 11, 11621172.Google Scholar
Nof, D. 1986 Movements and interactions of isolated eddies. Summer Study Program in Geophysical Fluid Dynamics, Woods Hole Oceanographic Institution, pp. 120122.Google Scholar
Pedlosky, J. 1987 Geophysical Fluid Dynamics, 2nd edn. Springer. 710 pp.
Richardson, R. L. 1983 Gulf Stream rings. In Eddies in Marine Science (ed. A. R. Robinson), pp. 1945. Springer.
Robinson, A. R. (ed.) 1983 Eddies in Marine Science. Springer.
Stern, M. E. 1975 Minimal properties of planetary eddies. J. Mar. Res. 33, 113.Google Scholar
Takematsu, M. & Kita, T. 1985 The behavior of an isolated free eddy in a rotating fluid (a laboratory experiment). Rep. Res. Inst. Appl. Mech., Kyushu University, vol. 33, pp. 112
Takematsu, M. & Kita, T. 1988 The behavior of an isolated free eddies in a rotating fluid: Laboratory experiment. Fluid Dyn. Res. 3, 400406.Google Scholar
Yasuda, I., Okuda, K. & Mizuno, K. 1986 Numerical study on the vortices near boundaries – considerations on warm core rings in the vicinity of east coast of Japan. Bull. Tohoku Regional Fisheries Res. Lab. 48, 6786.Google Scholar