ABSTRACT FOR THE TENTH EXTRATROPICAL CYCLONE WORKSHOP


CORRESPONDING AND PRESENTING AUTHOR: Philip Cunningham
TITLE: Graduate Student
AFFILIATION: Department of Atmospheric Science, State University of New York at Albany, 1400 Washington Avenue, ES-329, Albany, NY 12222
PHONE NUMBER: (518) 442-4923
EMAIL:cunning@atmos.albany.edu


Idealised Modelling of Jet-Streak Structure and Dynamics: Barotropic Solutions

Philip Cunningham and Daniel Keyser

Department of Earth and Atmospheric Sciences
University at Albany
State University of New York
Albany, NY 12222, USA

Investigation of the possibility that coherent structures provide a useful foundation for the study of jet-streak dynamics (Cunningham and Keyser 1996, 1997) shows that analytical solutions for barotropic vortex dipoles (e.g., Lamb 1932; Larichev and Reznik 1976; Flierl et al. 1980) resemble jet streaks in the atmosphere. Nevertheless, vortex-dipole solutions in isolation are unable to explain certain characteristic features of jet streaks, such as the anisotropy of the wind field and the asymmetry of the relative vorticity field. Moreover, jet streaks typically are not isolated, but are embedded in a larger-scale jet stream, which may have a zonally varying or wavelike character. We examine the behaviour of vortex dipoles in background flows representative of the extratropical upper troposphere in an attempt to explain the observed jet-streak attributes cited above and to investigate jet-streak life cycles.

An analytical solution for a point-vortex dipole in a jet-like zonal background flow with piecewise uniform potential vorticity suggests that the presence of this background flow enhances the anisotropy of the dipole streamfunction. This suggestion is supported by numerical integration of vortex dipoles in a jet-like zonal flow. In this case, approximately steady dipole solutions are shown to exist that are significantly more anisotropic than the vortex dipoles in isolation. Since the large-scale flow often is wavelike, however, we also examine numerical simulations of symmetric vortex dipoles in a large-scale Rossby wave. These simulations reveal that as the dipole travels through the wave, its component vortices are strengthened selectively depending on whether the dipole is located in the trough or the ridge. This behaviour suggests a simple way to view the asymmetry of the relative vorticity field: as with the anisotropy of the wind field, the relative vorticity asymmetry is controlled by the background flow. Furthermore, these simulations depict idealised jet-streak life cycles that exhibit similarities to the evolution of jet streaks in the atmosphere.

While it is instructive to view the relative vorticity asymmetry as being controlled by the background flow, observations suggest that the vortex dipoles associated with jet streaks may be significantly asymmetric even in symmetric background flows, and in some cases the relative vorticity field may be monopolar. Numerical simulations of asymmetric vortex dipoles in jet-like zonal background flows that are themselves asymmetric are shown to exhibit complex evolutions. Despite this complexity, the characteristic structures in these evolutions appear to have observational support in atmospheric water vapour imagery. Future work addresses the relevance of monopolar vortices to jet streaks, the interpretation of jet-streak life cycles as details of balanced turbulence, and possible extensions to a stratified baroclinic atmosphere.


REFERENCES:

Cunningham, P., and D. Keyser, 1996: Numerical modelling of jet-streak dynamics. Preprints, Seventh Conference on Mesoscale Processes, Reading, U.K., Amer. Meteor. Soc., 20-22.

Cunningham, P., and D. Keyser, 1997: Analytical and numerical modelling of jet-streak dynamics. Preprints, Eleventh Conference on Atmospheric and Oceanic Fluid Dynamics, Tacoma, WA, Amer. Meteor. Soc., 106-110.

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, 1-41.

Lamb, H., 1932: Hydrodynamics. Cambridge University Press, 738 pp.

Larichev, V. D., and G. M. Reznik, 1976: Two-dimensional Rossby soliton: an exact solution. Rep. USSR Acad. Sci., 231, 1077-1079.


Phil Cunningham
cunning@atmos.albany.edu