Weather-Layer Dynamics of Baroclinic Eddies and Multiple Jets in an Idealized General Circulation Model

Paul A. O’Gorman California Institute of Technology, Pasadena, California

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Tapio Schneider California Institute of Technology, Pasadena, California

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Abstract

The general circulation and the behavior of multiple jets and baroclinic eddies are described for an atmosphere in which meridional potential temperature gradients and eddies are confined to a weather layer. The weather layer is separated from the frictional lower boundary by a statically stable barotropic layer with significant mass. Closure of the zonal momentum budget in the resulting circulation is achieved through ageostrophic meridional cells that extend to the lower boundary, at which momentum is dissipated. In a series of simulations with a multilevel primitive equation model, dynamic changes in the static stability of the weather layer are found to be critical in determining the scaling of the baroclinic eddies, an effect not captured in quasigeostrophic models. For simulations with a single jet in each hemisphere, the static stability of the weather layer adjusts so that a significant inverse energy cascade to scales larger than the Rossby deformation radius does not occur. The eddy length is found to scale with both the Rossby deformation radius and the Rhines scale. Simulations with larger planetary radii and low pole-to-equator temperature gradients exhibit multiple jets in each hemisphere. Eddy lengths and energies for the jet nearest the equator in each hemisphere have the same scaling as those in the single-jet simulations. Similar scalings are found for jets farther poleward but with different constants of proportionality that are consistent with more supercritical eddies. The local eddy length is found to have only a weak variation with latitude, and the local meridional jet spacing is found to scale with the local eddy length in all cases. Insights from the weather-layer simulations may be relevant to circulations in gas giant planets and the ocean.

Corresponding author address: Paul O’Gorman, California Institute of Technology, Mail Code 100-23, 1200 E. California Blvd., Pasadena, CA 91125. Email: pog@caltech.edu

Abstract

The general circulation and the behavior of multiple jets and baroclinic eddies are described for an atmosphere in which meridional potential temperature gradients and eddies are confined to a weather layer. The weather layer is separated from the frictional lower boundary by a statically stable barotropic layer with significant mass. Closure of the zonal momentum budget in the resulting circulation is achieved through ageostrophic meridional cells that extend to the lower boundary, at which momentum is dissipated. In a series of simulations with a multilevel primitive equation model, dynamic changes in the static stability of the weather layer are found to be critical in determining the scaling of the baroclinic eddies, an effect not captured in quasigeostrophic models. For simulations with a single jet in each hemisphere, the static stability of the weather layer adjusts so that a significant inverse energy cascade to scales larger than the Rossby deformation radius does not occur. The eddy length is found to scale with both the Rossby deformation radius and the Rhines scale. Simulations with larger planetary radii and low pole-to-equator temperature gradients exhibit multiple jets in each hemisphere. Eddy lengths and energies for the jet nearest the equator in each hemisphere have the same scaling as those in the single-jet simulations. Similar scalings are found for jets farther poleward but with different constants of proportionality that are consistent with more supercritical eddies. The local eddy length is found to have only a weak variation with latitude, and the local meridional jet spacing is found to scale with the local eddy length in all cases. Insights from the weather-layer simulations may be relevant to circulations in gas giant planets and the ocean.

Corresponding author address: Paul O’Gorman, California Institute of Technology, Mail Code 100-23, 1200 E. California Blvd., Pasadena, CA 91125. Email: pog@caltech.edu

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  • Andrews, D. G., 1983: A finite-amplitude Eliassen–Palm theorem in isentropic coordinates. J. Atmos. Sci., 40 , 18771883.

  • Busse, F. H., 1994: Convection driven zonal flows and vortices in the major planets. Chaos, 4 , 123134.

  • Gutowski, W. J., 1985a: Baroclinic adjustment and midlatitude temperature profiles. J. Atmos. Sci., 42 , 17331745.

  • Gutowski, W. J., 1985b: A simple model for the interaction between vertical eddy heat fluxes and static stability. J. Atmos. Sci., 42 , 346358.

    • Search Google Scholar
    • Export Citation
  • Haynes, P. H., C. J. Marks, M. E. McIntyre, T. G. Shepherd, and K. P. Shine, 1991: On the “downward control” of extratropical diabatic circulations by eddy-induced mean zonal forces. J. Atmos. Sci., 48 , 651678.

    • Search Google Scholar
    • Export Citation
  • Held, I. M., 1975: Momentum transport by quasigeostrophic eddies. J. Atmos. Sci., 32 , 14941497.

  • Held, I. M., 2000: The general circulation of the atmosphere. Proc. Program in Geophysical Fluid Dynamics, Woods Hole, MA, Woods Hole Oceanographic Institution. [Available online at http://hdl.handle.net/1912/15.].

  • Held, I. M., and M. J. Suarez, 1994: A proposal for the intercomparison of the dynamical cores of atmospheric general circulation models. Bull. Amer. Meteor. Soc., 75 , 18251830.

    • Search Google Scholar
    • Export Citation
  • Held, I. M., and V. D. Larichev, 1996: A scaling theory for horizontally homogeneous, baroclinically unstable flow on a beta plane. J. Atmos. Sci., 53 , 946952.

    • Search Google Scholar
    • Export Citation
  • Held, I. M., and T. Schneider, 1999: The surface branch of the zonally averaged mass transport circulation in the troposphere. J. Atmos. Sci., 56 , 16881697.

    • Search Google Scholar
    • Export Citation
  • Ingersoll, A. P., P. J. Gierasch, D. Banfield, and A. R. Vasavada, and the Galileo Imaging Team, 2000: Moist convection as an energy source for the large-scale motions in Jupiter’s atmosphere. Nature, 403 , 630632.

    • Search Google Scholar
    • Export Citation
  • Ingersoll, A. P., and Coauthors, 2004: Dynamics of Jupiter’s atmosphere. Jupiter: The Planet, Satellites, and Magnetosphere, F. Bagenal, T. E. Dowling, and W B. McKinnon, Eds., Cambridge University Press, 105–128.

    • Search Google Scholar
    • Export Citation
  • Ioannou, P., and R. S. Lindzen, 1986: Baroclinic instability in the presence of barotropic jets. J. Atmos. Sci., 43 , 29993014.

  • James, I. N., and L. J. Gray, 1986: Concerning the effect of surface drag on the circulation of a baroclinic planetary atmosphere. Quart. J. Roy. Meteor. Soc., 112 , 12311250.

    • Search Google Scholar
    • Export Citation
  • Lee, S., 2005: Baroclinic multiple zonal jets on the sphere. J. Atmos. Sci., 62 , 24842498.

  • Lorenz, E. N., 1955: Available potential energy and the maintenance of the general circulation. Tellus, 7 , 157167.

  • Panetta, R. L., 1993: Zonal jets in wide baroclinically unstable regions: Persistence and scale selection. J. Atmos. Sci., 50 , 20732106.

    • Search Google Scholar
    • Export Citation
  • Pedlosky, J., 1975: On secondary baroclinic instability and the meridional scale of motion in the ocean. J. Phys. Oceanogr., 5 , 603607.

    • Search Google Scholar
    • Export Citation
  • Pedlosky, J., 1979: Finite-amplitude baroclinic waves in a continuous model of the atmosphere. J. Atmos. Sci., 36 , 19081924.

  • Porco, C., and Coauthors, 2003: Cassini imaging of Jupiter’s atmosphere, satellites, and rings. Science, 299 , 15411547.

  • Rhines, P., 1975: Waves and turbulence on a beta-plane. J. Fluid Mech., 69 , 417443.

  • Schneider, T., 2005: Zonal momentum balance, potential vorticity dynamics, and mass fluxes on near-surface isentropes. J. Atmos. Sci., 62 , 18841900.

    • Search Google Scholar
    • Export Citation
  • Schneider, T., 2007: The thermal stratification of the extratropical troposphere. The Global Circulation of the Atmosphere, T. Schneider and A. H. Sobel, Eds., Princeton University Press, 47–77.

    • Search Google Scholar
    • Export Citation
  • Schneider, T., and C. C. Walker, 2006: Self-organization of atmospheric macroturbulence into critical states of weak nonlinear eddy–eddy interactions. J. Atmos. Sci., 63 , 15691586.

    • Search Google Scholar
    • Export Citation
  • Simmons, A. J., and B. J. Hoskins, 1978: The life cycles of some nonlinear baroclinic waves. J. Atmos. Sci., 35 , 414432.

  • Smith, K., 2004: A local model for planetary atmospheres forced by small-scale convection. J. Atmos. Sci., 61 , 14201433.

  • Stone, P. H., 1978: Baroclinic adjustment. J. Atmos. Sci., 35 , 561571.

  • Stone, P. H., and L. Branscome, 1992: Diabatically forced, nearly inviscid eddy regimes. J. Atmos. Sci., 49 , 355367.

  • Vallis, G., and M. Maltrud, 1993: Generation of mean flows and jets on a beta plane and over topography. J. Phys. Oceanogr., 23 , 13461362.

    • Search Google Scholar
    • Export Citation
  • Vasavada, A. R., and A. P. Showman, 2005: Jovian atmospheric dynamics: An update after Galileo and Cassini. Rep. Prog. Phys., 68 , 19351996.

    • Search Google Scholar
    • Export Citation
  • Williams, G. P., 2003a: Jet sets. J. Meteor. Soc. Japan, 81 , 439476.

  • Williams, G. P., 2003b: Jovian dynamics. Part III: Multiple, migrating, and equatorial jets. J. Atmos. Sci., 60 , 12701296.

  • Zhou, S., and P. H. Stone, 1993: The role of large-scale eddies in the climate equilibrium. Part II: Variable static stability. J. Climate, 6 , 18711881.

    • Search Google Scholar
    • Export Citation
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