Eddy Shape, Orientation, Propagation, and Mean Flow Feedback in Western Boundary Current Jets

Stephanie Waterman Grantham Institute for Climate Change, Imperial College, London, United Kingdom

Search for other papers by Stephanie Waterman in
Current site
Google Scholar
PubMed
Close
and
Brian J. Hoskins Grantham Institute for Climate Change, Imperial College, London, and Department of Meteorology, University of Reading, Reading, United Kingdom

Search for other papers by Brian J. Hoskins in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

This manuscript revisits a study of eddy–mean flow interactions in an idealized model of a western boundary current extension jet using properties of the horizontal velocity correlation tensor to diagnose characteristics of average eddy shape, orientation, propagation, and mean flow feedback. These eddy characteristics are then used to provide a new description of the eddy–mean flow interactions observed in terms of different ingredients of the eddy motion. The diagnostics show patterns in average eddy shape, orientation, and propagation that are consistent with the signatures of jet instability in the upstream region and wave radiation in the downstream region. Together they give a feedback onto the mean flow that gives the downstream character of the jet and drives the jet's recirculation gyres. A breakdown of the eddy forcing into contributions from individual terms confirms the expected role of cross-jet gradients in meridional eddy tilt in stabilizing the jet to its barotropic instability; however, it also reveals important roles played by the along-jet evolution of eddy zonal–meridional elongation. It is the mean flow forcing derived from these patterns that acts to strengthen and extend the jet downstream and forces the time-mean recirculation gyres. This understanding of the dependence of mean flow forcing on eddy structural properties suggests that failure to adequately resolve eddy elongation could underlie the weakened jet strength, extent, and changed recirculation structure seen in this idealized model for reduced spatial resolutions. Further, it may suggest new ideas for the parameterization of this forcing.

Current affiliation: Climate Change Research Centre and ARC Centre of Excellence for Climate System Science, University of New South Wales, Sydney, Australia.

Corresponding author address: Stephanie Waterman, Climate Change Research Centre, Level 4, Mathews Building, University of New South Wales, Sydney, NSW, 2052, Australia. E-mail: snw@alum.mit.edu

Abstract

This manuscript revisits a study of eddy–mean flow interactions in an idealized model of a western boundary current extension jet using properties of the horizontal velocity correlation tensor to diagnose characteristics of average eddy shape, orientation, propagation, and mean flow feedback. These eddy characteristics are then used to provide a new description of the eddy–mean flow interactions observed in terms of different ingredients of the eddy motion. The diagnostics show patterns in average eddy shape, orientation, and propagation that are consistent with the signatures of jet instability in the upstream region and wave radiation in the downstream region. Together they give a feedback onto the mean flow that gives the downstream character of the jet and drives the jet's recirculation gyres. A breakdown of the eddy forcing into contributions from individual terms confirms the expected role of cross-jet gradients in meridional eddy tilt in stabilizing the jet to its barotropic instability; however, it also reveals important roles played by the along-jet evolution of eddy zonal–meridional elongation. It is the mean flow forcing derived from these patterns that acts to strengthen and extend the jet downstream and forces the time-mean recirculation gyres. This understanding of the dependence of mean flow forcing on eddy structural properties suggests that failure to adequately resolve eddy elongation could underlie the weakened jet strength, extent, and changed recirculation structure seen in this idealized model for reduced spatial resolutions. Further, it may suggest new ideas for the parameterization of this forcing.

Current affiliation: Climate Change Research Centre and ARC Centre of Excellence for Climate System Science, University of New South Wales, Sydney, Australia.

Corresponding author address: Stephanie Waterman, Climate Change Research Centre, Level 4, Mathews Building, University of New South Wales, Sydney, NSW, 2052, Australia. E-mail: snw@alum.mit.edu
Save
  • Adams, J., P. Swartztrauber, and R. Sweet, cited 1988: FISHPACK: Efficient FORTRAN subprograms for the solution of separable elliptic partial differential equations. [Available online at http://www.cisl.ucar.edu/css/software/fishpack.]

  • Arakawa, A., 1966: Computational design for long-term numerical integration of the equations of fluid motion: Part I: Two-dimensional incompressible flow. J. Comput. Phys., 1, 119145.

    • Search Google Scholar
    • Export Citation
  • Beliakova, N., 1998: Generation and maintenance of recirculations by Gulf Stream instabilities. Ph.D. thesis, Massachusetts Institute of Technology/Woods Hole Oceanographic Institute Joint Program, 224 pp.

  • Chang, H. R., and P. J. Webster, 1990: Energy accumulation and emanation at low latitudes. Part II: Nonlinear response to strong episodic forcing. J. Atmos. Sci., 47, 26242644.

    • Search Google Scholar
    • Export Citation
  • Chang, H. R., and P. J. Webster, 1995: Energy accumulation and emanation at low latitudes. Part III: Forward and backward accumulation. J. Atmos. Sci., 52, 23842403.

    • Search Google Scholar
    • Export Citation
  • Dewar, W. K., and J. M. Bane, 1989: Gulf Stream dynamics. Part II: Eddy energetics at 73°W. J. Phys. Oceanogr., 19, 15741587.

  • Dingle, R. B., 1973: Assymptotic Expansions: Their Derivation and Interpretation. Academic Press, 521 pp.

  • Durran, D. R., 1991: The third-order Adams–Bashforth method: An attractive alternative to leapfrog time differencing. Mon. Wea. Rev., 119, 702720.

    • Search Google Scholar
    • Export Citation
  • Hogg, N. G., 1983: A note on the deep circulation of the western North Atlantic: Its nature and causes. Deep-Sea Res., 30, 945961.

  • Hogg, N. G., 1985: Evidence for baroclinic instability in the Gulf Stream recirculation. Prog. Oceanogr., 14, 209229.

  • Hogg, N. G., 1992: On the transport of the Gulf Stream between Cape Hatteras and the Grand Banks. J. Mar. Res., 50, 545566.

  • Hogg, N. G., 1993: Toward parameterization of the eddy field near the Gulf Stream. Deep-Sea Res., 40, 23592376.

  • Hoskins, B. J., and K. Karoly, 1981: The steady linear response of a spherical atmosphere to thermal and orographic forcing. J. Atmos. Sci., 38, 11791196.

    • Search Google Scholar
    • Export Citation
  • Hoskins, B. J., I. N. James, and G. H. White, 1983: The shape, propagation, and mean flow interaction of large-scale weather systems. J. Atmos. Sci., 40, 15951612.

    • Search Google Scholar
    • Export Citation
  • Howden, S. D., 2000: The three-dimensional secondary circulation in developing Gulf Stream meanders. J. Phys. Oceanogr., 30, 888915.

  • Jayne, S. R., and N. G. Hogg, 1999: On recirculation forced by an unstable jet. J. Phys. Oceanogr., 29, 27112718.

  • Jayne, S. R., N. G. Hogg, and P. Malanotte-Rizzoli, 1996: Recirculation gyres forced by a beta-plane jet. J. Phys. Oceanogr., 26, 492504.

    • Search Google Scholar
    • Export Citation
  • Kirtman, B. P., and Coauthors, 2012: Impact of ocean model resolution on CCSM climate simulations. Climate Dyn., 39, 13031328.

  • Lighthill, J., 1977: Waves in Fluids. Cambridge University Press, 504 pp.

  • Marshall, D. P., J. R. Maddison, and P. S. Berloff, 2012: A framework for parameterizing eddy potential vorticity fluxes. J. Phys. Oceanogr., 42, 539557.

    • Search Google Scholar
    • Export Citation
  • Mizuta, G., 2010: Rossby wave radiation from an eastward jet and its recirculations. J. Mar. Res., 67, 185212.

  • Mizuta, G., 2012: Role of the Rossby waves in the broadening of an eastward jet. J. Phys. Oceanogr., 42, 476494.

  • Morrow, R., R. Coleman, J. Church, and D. Chelton, 1994: Surface eddy momentum flux and velocity variances in the Southern Ocean from Geosat altimetry. J. Phys. Oceanogr., 24, 20502071.

    • Search Google Scholar
    • Export Citation
  • Preisendorfer, R. W., 1988: Principal Component Analysis in Meteorology and Oceanography. Elsevier, 425 pp.

  • Qiu, B., 2000: Interannual variability of the Kuroshio Extension system and its impact on the wintertime SST field. J. Phys. Oceanogr., 30, 14861502.

    • Search Google Scholar
    • Export Citation
  • Shay, T. J., J. M. Bane, D. R. Watts, and K. L. Tracey, 1995: Gulf Stream flow field and events near 68°W. J. Geophys. Res., 100 (C11), 22 56522 589.

    • Search Google Scholar
    • Export Citation
  • Simmons, A. J., and B. J. Hoskins, 1979: The downstream and upstream development of unstable baroclinic waves. J. Atmos. Sci., 36, 12391254.

    • Search Google Scholar
    • Export Citation
  • Spall, M. A., 1994: Wave-induced abyssal recirculations. J. Mar. Res., 52, 10511080.

  • Spall, M. A., 1996: Dynamics of the Gulf Stream/deep western boundary current crossover. Part II: Low-frequency internal oscillations. J. Phys. Oceanogr., 26, 21692182.

    • Search Google Scholar
    • Export Citation
  • Starr, V. P., 1968: Physics of Negative Viscosity Phenomena. McGraw-Hill, 256 pp.

  • Talley, L. D., 1983: Radiating barotropic instability. J. Phys. Oceanogr., 13, 972987.

  • Thompson, R. O. R. Y., 1978: Reynolds stress and deep counter-currents near the Gulf Stream. J. Mar. Res., 36, 611615.

  • Throncroft, C. D., B. J. Hoskins, and M. E. McIntyre, 1993: Two paradigms of baroclinic-wave life-cycle behaviour. Quart. J. Roy. Meteor. Soc., 119, 1755.

    • Search Google Scholar
    • Export Citation
  • Waterman, S., and S. R. Jayne, 2011: Eddy–mean flow interactions in the along-stream development of a western boundary current jet: An idealized model study. J. Phys. Oceanogr., 41, 682707.

    • Search Google Scholar
    • Export Citation
  • Waterman, S., and S. R. Jayne, 2012: Eddy-driven recirculations from a localized, transient forcing. J. Phys. Oceanogr., 42, 430447.

  • Waterman, S., N. G. Hogg, and S. R. Jayne, 2011: Eddy-mean interaction in the Kuroshio Extension region. J. Phys. Oceanogr., 41, 11821208.

    • Search Google Scholar
    • Export Citation
  • Watts, D. R., K. L. Tracey, J. M. Bane, and T. J. Shay, 1995: Gulf Stream path and thermocline structure near 74°W and 68°W. J. Geophys. Res., 100 (C9), 18 29118 312.

    • Search Google Scholar
    • Export Citation
  • Watts, D. R., X. Qian, and K. L. Tracey, 2001: Mapping abyssal current and pressure fields under the meandering Gulf Stream. J. Atmos. Oceanic Technol., 18, 10521067.

    • Search Google Scholar
    • Export Citation
  • Webster, P. J., and H. R. Chang, 1988: Energy accumulation and emanation regions at low latitudes: Impacts of a zonally varying basic state. J. Atmos. Sci., 45, 803829.

    • Search Google Scholar
    • Export Citation
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 1882 1127 85
PDF Downloads 845 241 28