• Benilov, E. S., 1996: Beta-induced translation of strong isolated eddies. J. Phys. Oceanogr, 26 , 22232229.

  • Cushman-Roisin, B., , E. P. Chassignet, , and B. Tang, 1990: Westward motion of mesoscale eddies. J. Phys. Oceanogr, 20 , 758768.

  • Flierl, G. R., 1984: Rossby wave radiation from a strongly nonlinear warm eddy. J. Phys. Oceanogr, 14 , 4758.

  • Flierl, G. R., , and K. Haines, 1994: The decay of modons due to Rossby wave radiation. Phys. Fluids, 6 , 34873497.

  • Flierl, G. R., , V. D. Larichev, , J. C. McWilliams, , and G. M. Reznik, 1980: The dynamics of baroclinic and barotropic solitary eddies. Dyn. Atmos. Oceans, 5 , 141.

    • Search Google Scholar
    • Export Citation
  • Joyce, T. M., , and M. A. Kennelly, 1985: Upper-ocean velocity structure of Gulf Stream warm-core ring 82B. J. Geophys. Res, 90 , (C5),. 88398844.

    • Search Google Scholar
    • Export Citation
  • Killworth, P. D., 1983: On the motion of isolated lenses on a beta-plane. J. Phys. Oceanogr, 13 , 368376.

  • Korotaev, G. K., 1988: Theoretical Modelling of Synoptic Variability of the Ocean (in Russian). Naukova Dumka, Kiev, 160 pp.

  • Korotaev, G. K., 1997: Radiating vortices in geophysical fluid dynamics. Surv. Geophys, 18 , 567619.

  • Korotaev, G. K., , and A. B. Fedotov, 1994: Dynamics of an isolated barotropic eddy on a beta-plane. J. Fluid Mech, 264 , 277301.

  • Larichev, V. D., , and G. M. Reznik, 1976: Two-dimensional solitary Rossby waves. Dokl. Akad. Nauk SSSR, 231 , 10771079.

  • McDonald, N. R., 1998: The decay of cyclonic eddies by Rossby wave radiation. J. Fluid Mech, 361 , 237252.

  • McWilliams, J. C., 1985: Submesoscale, coherent vortices in the ocean. Rev. Geophys, 23 , 165182.

  • Nof, D., 1983: On the migration of isolated eddies with application to Gulf Stream Rings. J. Mar. Res, 41 , 399425.

  • Nycander, J., 1988: New stationary solutions of the Hasegawa–Mima equation. J. Plasma Phys, 39 , 413430.

  • Nycander, J., 1994: Steady vortices in plasmas and geophysical flows. Chaos, 4 , 253267.

  • Nycander, J., , and G. G. Sutyrin, 1992: Steadily translating anticyclones on the beta plane. Dyn. Atmos. Oceans, 16 , 473498.

  • Pakyari, A. R., , and J. Nycander, 1996: Steady two-layer vortices on the beta-plane. Dyn. Atmos. Oceans, 25 , 6786.

  • Schultz Tokos, K., , and T. Rossby, 1991: Kinematics and dynamics of a Mediterranean salt lens. J. Phys. Oceanogr, 21 , 879892.

  • Sutyrin, G. G., , and W. K. Dewar, 1992: Almost symmetric solitary eddies in a two-layer ocean. J. Fluid Mech, 283 , 633656.

  • Swenson, M., 1987: Instability of equivalent-barotropic riders. J. Phys. Oceanogr, 17 , 492506.

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 142 142 3
PDF Downloads 34 34 2

Drift Velocity of Radiating Quasigeostrophic Vortices

View More View Less
  • 1 Defence Research Establishment, Stockholm, Sweden
© Get Permissions Rent on DeepDyve
Restricted access

Abstract

Because of the beta effect, quasigeostrophic monopole vortices propagate westward and excite Rossby waves. This wave radiation depletes the vortex energy, and causes cyclones to drift northward and anticylones southward (in the Northern Hemishpere). In the present work explicit solutions describing such radiating vortices are found by perturbation analysis, assuming the vortex amplitude to be large, and consequently the radiation to be a small perturbation. From these solutions the radiated energy is calculated and then used to obtain a simple expression for the meridional drift. The zonal drift is also modified by the wave radiation, but to calculate this component the complete explicit solution is not necessary; it is enough to consider the ratio of the loss of pseudoenergy to the loss of pseudomomentum.

Corresponding author address: Dr. Jonas Nycander, Dept. of Meteorology, Stockholm University, S-10691 Stockholm, Sweden. Email: jonas@misu.su.se

Abstract

Because of the beta effect, quasigeostrophic monopole vortices propagate westward and excite Rossby waves. This wave radiation depletes the vortex energy, and causes cyclones to drift northward and anticylones southward (in the Northern Hemishpere). In the present work explicit solutions describing such radiating vortices are found by perturbation analysis, assuming the vortex amplitude to be large, and consequently the radiation to be a small perturbation. From these solutions the radiated energy is calculated and then used to obtain a simple expression for the meridional drift. The zonal drift is also modified by the wave radiation, but to calculate this component the complete explicit solution is not necessary; it is enough to consider the ratio of the loss of pseudoenergy to the loss of pseudomomentum.

Corresponding author address: Dr. Jonas Nycander, Dept. of Meteorology, Stockholm University, S-10691 Stockholm, Sweden. Email: jonas@misu.su.se

Save