The Sensitivity of an Intermediate Model of the Midlatitude Troposphere's Equilibrium to Changes in Radiative Forcing

Amy Solomon International Pacific Research Center, SOEST, University of Hawaii, Honolulu, Hawaii

Search for other papers by Amy Solomon in
Current site
Google Scholar
PubMed
Close
and
Peter H. Stone Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, Massachusetts

Search for other papers by Peter H. Stone in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

The sensitivity of the equilibrated state of a dry high-resolution quasigeostrophic β-plane channel model, coupled to both a simplified model of the atmospheric boundary layer and an interactive static stability, to changes in forcings is investigated. An earlier study with the same model found that with standard parameter values, the potential vorticity in the center of the channel just above the atmospheric boundary layer was homogenized. The new experiments show that this result is robust does not vary strongly with variations in forcing over a wide range of forcing parameters. This is so even though the meridional temperature gradients and static stability are generally sensitive to the forcing; that is, the changes in these cooperate to keep the meridional potential vorticity gradient zero. The potential vorticity gradients at higher levels are also robust although nonzero. The homogenization in the lower troposphere does disappear if the differential diabatic heating is decreased sufficiently or if the tropopause level is lowered sufficiently.

The model results are also used to assess proposed parameterizations of eddy effects. Stone's parameterization of the meridional eddy heat flux is most successful at reproducing the model's results for most of the experiments. However, no parameterizations of the eddy heat flux captured the results of the experiments in which the diabatic heating timescale was varied. In these experiments, changes in the eddy heat fluxes kept the tropospheric temperature structure essentially unchanged even though the timescale changed from 5 to 80 days.

Corresponding author address: Dr. Amy Solomon, International Pacific Research Center, SOEST, University of Hawaii, 1000 Pope Road, Honolulu, HI 96822. Email: amy@iprc.soest.hawaii.edu

Abstract

The sensitivity of the equilibrated state of a dry high-resolution quasigeostrophic β-plane channel model, coupled to both a simplified model of the atmospheric boundary layer and an interactive static stability, to changes in forcings is investigated. An earlier study with the same model found that with standard parameter values, the potential vorticity in the center of the channel just above the atmospheric boundary layer was homogenized. The new experiments show that this result is robust does not vary strongly with variations in forcing over a wide range of forcing parameters. This is so even though the meridional temperature gradients and static stability are generally sensitive to the forcing; that is, the changes in these cooperate to keep the meridional potential vorticity gradient zero. The potential vorticity gradients at higher levels are also robust although nonzero. The homogenization in the lower troposphere does disappear if the differential diabatic heating is decreased sufficiently or if the tropopause level is lowered sufficiently.

The model results are also used to assess proposed parameterizations of eddy effects. Stone's parameterization of the meridional eddy heat flux is most successful at reproducing the model's results for most of the experiments. However, no parameterizations of the eddy heat flux captured the results of the experiments in which the diabatic heating timescale was varied. In these experiments, changes in the eddy heat fluxes kept the tropospheric temperature structure essentially unchanged even though the timescale changed from 5 to 80 days.

Corresponding author address: Dr. Amy Solomon, International Pacific Research Center, SOEST, University of Hawaii, 1000 Pope Road, Honolulu, HI 96822. Email: amy@iprc.soest.hawaii.edu

Save
  • Bannon, P. R., and T. L. Salem Jr., 1995: Aspects of the baroclinic boundary layer. J. Atmos. Sci, 52 , 574596.

  • Branscome, L. E., 1983: A parameterization of transient eddy heat flux on a beta-plane. J. Atmos. Sci, 40 , 25082521.

  • Cehelsky, P., and K. K. Tung, 1991: Nonlinear baroclinic adjustment. J. Atmos. Sci, 48 , 19301947.

  • Gall, R., 1976: Structural changes of growing baroclinic waves. J. Atmos. Sci, 33 , 374390.

  • Green, J. S. A., 1970: Transfer properties of the large-scale eddies and the general circulation of the atmosphere. Quart. J. Roy. Meteor., Soc, 96 , 157185.

    • Search Google Scholar
    • Export Citation
  • Gutowski, W. J. Jr, 1985: Baroclinic adjustment and midlatitude temperature profiles. J. Atmos. Sci, 42 , 17331745.

  • Gutowski, W. J. Jr, L. E. Branscome, and D. A. Stewart, 1989: Mean flow adjustment during life cycles of baroclinic waves. J. Atmos. Sci, 46 , 17241737.

    • Search Google Scholar
    • Export Citation
  • Held, I. M., 1978: The vertical scale of an unstable baroclinic wave and its importance for eddy heat flux parameterizations. J. Atmos. Sci, 35 , 572576.

    • Search Google Scholar
    • Export Citation
  • Held, I. M., and V. 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
  • James, I. N., 1987: Suppression of baroclinic instability in horizontally sheared flows. J. Atmos. Sci, 44 , 37103720.

  • Jin, F. F., and B. J. Hoskins, 1995: The direct response to tropical heating in a baroclinic atmosphere. J. Atmos. Sci, 52 , 307319.

  • Lindzen, R., B. Farrell, and K-K. Tung, 1980: The concept of wave over-reflection and its application to baroclinic instability. J. Atmos. Sci, 37 , 4463.

    • Search Google Scholar
    • Export Citation
  • Manabe, S., and F. Möller, 1961: On the radiative equilibrium and heat balance of the atmosphere. Mon. Wea. Rev, 89 , 503532.

  • Solomon, A., and P. H. Stone, . 2001: Equilibration in an eddy resolving model with simplified physics. J. Atmos. Sci, 58 , 561574.

  • Stone, P. H., 1972: A simplified radiative-dynamical model for the static stability of rotating atmospheres. J. Atmos. Sci, 29 , 405418.

    • Search Google Scholar
    • Export Citation
  • Stone, P. H., 1978: Baroclinic adjustment. J. Atmos. Sci, 35 , 561571.

  • Stone, P. H., and D. A. Miller, 1980: Empirical relations between seasonal changes in meridional temperature gradients and meridional fluxes of heat. J. Atmos. Sci, 37 , 17081721.

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

  • Stone, P. H., and B. Nemet, 1996: Baroclinic adjustment: A comparison between theory, observations, and models. J. Atmos. Sci, 53 , 16631674.

    • Search Google Scholar
    • Export Citation
  • Welch, T. W., and K. K. Tung, 1998: Nonlinear baroclinic adjustment and wavenumber selection in a simple case. J. Atmos. Sci, 55 , 12851302.

    • Search Google Scholar
    • Export Citation
  • Zhou, S., and P. H. Stone, 1993a: The role of large-scale eddies in the climate equilibrium. Part I: Fixed static stability. J. Climate, 6 , 9851001.

    • Search Google Scholar
    • Export Citation
  • Zhou, S., and P. H. Stone, 1993b: The role of large-scale eddies in the climate equilibrium. Part II: Variable static stability. J. Climate, 6 , 18711880.

    • Search Google Scholar
    • Export Citation
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 826 638 23
PDF Downloads 61 32 2