JW appreciates the support mainly from the Federal Panel on Energy Research and Development through the NSERC of Canada Visiting Postdoctoral Fellowship, which was held at the Bedford Institute of Oceanography (95%), and partly from USCG and NOAA to the Ocean Pollution Research Center at University of Miami (5%). We thank A. van der Baaren for assistance with some figures and comments on a draft of this paper. We also thank Prof. J. Gyakum for his comments on this paper, and Drs. C. Griffiths and P. C. Smith for their fruitful discussions of the mesoscale dynamics during the course of this study. The authors thank two anonymous reviewers for their very constructive comments on this paper.
Asselin, R., 1972: Frequency filter for time integrations. Mon. Wea. Rev.,100, 487–490.
Blumberg, A. F., 1991: A primer for ECOM-si. Technical Report for HydroQual, Inc., Mahwah, NJ, 66 pp.
Boudra, D. B., R. Bleck, and F. Schott, 1988: A numerical model of instabilities in the Florida Current. J. Mar. Res.,46, 715–751.
Bower, A. S., and T. Rossby, 1989: Evidence of cross-frontal exchange processes in the Gulf Stream based on isopycnal RAFOS float data. J. Phys. Oceanogr.,19, 1177–1190.
Casulli, V., and R. T. Cheng, 1992: Semi-implicit finite-difference methods for three-dimensional shallow water flow. Int. J. Numer. Methods Fluids,15, 629–648.
Chao, S.-Y., 1990: Instabilities of fronts over a continental margin. J. Geophys. Res.,95, 3199–3211.
Cox, M. D., 1984: A primitive equation, three-dimensional model of the ocean. GFDL Ocean Group Tech. Rep. No. 1.
Fofonoff, N. P., 1962: Physical properties of sea water. The Sea, Vol. 1, Wiley-Interscience, 3–30.
Gill, A. E., 1982: Atmosphere–Ocean Dynamics. Academic Press, 662 pp.
Griffiths, C., M. Ikeda, J. Wang, and P. C. Smith, 1997: A model comparison of simulating ocean mesocale eddies in the presence of topography. J. Phys. Oceanogr..
Holland, W. R., 1978: The role of mesoscale eddies in the general circulation of the ocean—Numerical experiments using a wind-driven quasi-geostrophic model. J. Phys. Oceanogr.,8, 363–392.
Holton, J. R., 1979: An Introduction to Dynamic Meteorology. Academic Press, 391 pp.
Hoskins, B. J., and M. A. Pedder, 1980: The diagnosis of middle latitude synoptic development. Quart. J. Roy. Meteor. Soc.,106, 707–719.
——, I. Draghici, and H. C. Davies, 1978: A new look at the ω-equation. Quart. J. Roy. Meteor. Soc.,104, 31–38.
Ikeda, M., 1981: Meanders and detached eddies of a strong eastward-flowing jet using a two-layer quasi-geostrophic model. J. Phys. Oceanogr.,11, 526–540.
——, 1991: Mesoscale eddy formation and evolution in the ice-covered ocean. Ann. Glaciol.,15, 139–147.
——, and J. R. Apel, 1981: Mesoscale eddies from spatially growing meanders in an eastward-flowing oceanic jet using a two-layer quasi-geostrophic model. J. Phys. Oceanogr.,11, 1638–1661.
——, and L.-Q. Zhang, 1992: Mesoscale stability of an ocean current over the continental slope in the Bryan–Cox primitive equation model. J. Mar. Syst.,3, 519–527.
——, and R. A. Wood, 1993: Mesoscale stability of an ocean current in the Bryan–Cox model. J. Geophys. Res.,98, 12 527–12 536.
Joyce, T. M., 1984: Velocity and hydrographic structure of a Gulf Stream warm-core ring. J. Phys. Oceanogr.,14, 936–947.
Killworth, P. D., N. Paldor, and M. E. Stern, 1984: Wave propagation and growth on a surface front in a two-layer geostrophic current. J. Mar. Res.,42, 761–785.
Leach, H., 1987: The diagnosis of synoptic-scale vertical motion in the seasonal thermocline. Deep-Sea Res.,34, 2005–2017.
LeBlond, P. H., 1982: Satellite observations of Labrador current undulations. Atmos.–Ocean,20, 129–142.
Lee, T. N., and A. Mayer, 1977: Low-frequency current variability and spin off eddies on the shelf off southeast Florida. J. Mar. Res.,35, 193–220.
Lindstrom, S. S., and D. R. Watts, 1994: Vertical motion in the Gulf Stream near 68°W. J. Phys. Oceanogr.,24, 2321–2332.
Mellor, G. L., 1991: Users guide for a three-dimensional, primitive equation, numerical ocean model. Atmospheric and Oceanic Sciences Program, Princeton University, 39 pp.
——, and T. Yamada, 1982: Development of a turbulence closure model for geophysical fluid problem. Rev. Geophys. Space Phys.,20, 851–875.
Oey, L.-T., 1988: A model of Gulf Stream frontal instabilities, meanders and eddies along the continental slope. J. Phys. Oceanogr.,18, 211–229.
Orlanski, I., and M. D. Cox, 1973: Baroclinic instability in ocean currents. Geophys. Fluid Dyn.,4, 297–332.
Pollard, R. T., and L. A. Regier, 1992: Vorticity and vertical circulation at an ocean front. J. Phys. Oceanogr.,22, 609–625.
Richardson, P. L., 1981: Gulf Stream trajectories measured with free-drifting buoys. J. Phys. Oceanogr.,11, 999–1010.
Roache, P. J., 1976: Computational Fluid Dynamics. Hermosa, 446 pp.
Smogorinsky, J., 1963: General circulation experiments with the primitive equations. I. The basic experiment. Mon. Wea. Rev.,91, 99–164.
Spall, M. A., and A. R. Robinson, 1990: Regional primitive equation studies of the Gulf Stream meander and ring formation region. J. Phys. Oceanogr.,20, 985–1016.
Tintoré, J., D. Comis, S. Alonso, and G. Parrilla, 1991: Mesocale dynamics and vertical motion in the Alborán Sea. J. Phys. Oceanogr.,21, 811–823.
Vastano, A. C., J. E. Schmitz, and D. E. Hagan, 1980: The physical oceanography of two rings observed by the Cyclonic Ring Experiment. Part I: Physical structures. J. Phys. Oceanogr.,10, 493–513.
Wang, J., 1996: Global linear of the two-dimensional stability shallow-water equations: An application of the distributive theorem of roots for polynomials in the unit circle. Mon. Wea. Rev.,124, 1301– 1310.
——, and M. Ikeda, 1995: Stability analysis of finite difference schemes for inertial oscillations in ocean general circulation models. Computer Modeling of Seas and Coastal Regions, C. A. Brebbia and Coeditors, Computational Mechanics Publications, 19–27.
——, and ——, 1997: Inertial stability and phase error of time integration schemes in ocean general circulation models. Mon. Wea. Rev., in press.
——, L. A. Mysak, and R. G. Ingram, 1994: A three-dimensional numerical simulation of Hudson Bay summer circulation: Topographic gyres, separations, and coastal jets. J. Phys. Oceanogr.,24, 2496–2514.
Wood, R. A., 1988: Unstable waves on oceanic fronts: Large amplitude behavior and mean flow generation. J. Phys. Oceanogr.,18, 775–787.
——, and M. Ikeda, 1994: Comparison of mesoscale meanders and eddies simulated by quasi-geostrophic and primitive equation models: A case study. J. Geophys. Res.,99, 22 645–22 663.