Abrupt Transition to Strong Superrotation Driven by Equatorial Wave Resonance in an Idealized GCM

Nathan P. Arnold Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts

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Eli Tziperman Department of Earth and Planetary Sciences, and School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts

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Brian Farrell Department of Earth and Planetary Sciences, and School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts

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Abstract

Persistent superrotation is seen in the atmospheres of other terrestrial bodies (Venus, Titan) but not in that of present Earth, which is distinguished by equatorial easterlies. Nevertheless, superrotation has appeared in numerical simulations of Earth’s atmosphere, from two-layer models to multilevel comprehensive GCMs. Simulations of warm climates that generate enhanced tropical convective variability seem particularly prone to superrotation, which has led to hypotheses that the warmer atmospheres of the early Pliocene and Eocene may have been superrotating, and that the phenomenon may be relevant to future climate projections.

This paper considers a positive feedback leading to superrotation based on an equatorial wave resonance that occurs in a westerly background flow. The authors present simulations with an idealized multilevel GCM forced with a zonally varying equatorial heating, which show abrupt transitions to strongly superrotating states. Linear shallow water theory is used to show that these transitions occur as the superrotating jet velocity approaches the phase speed of free equatorial Rossby wave modes, leading to a resonant amplification of the response to eddy heating and its associated equatorward momentum flux. The resonance and transition are most prominent in simulations where the meridional temperature gradient has been reduced, and hysteresis behavior is seen when the gradient is eliminated completely. No evidence is found in these simulations for the midlatitude wave feedback believed to drive abrupt transitions in two-layer models, and there is only a minor role for the axisymmetric feedback based on vertical advection by the Hadley circulation.

Corresponding author address: Nathan Arnold, Harvard University, 24 Oxford St., Cambridge, MA 02138. E-mail: narnold@fas.harvard.edu

Abstract

Persistent superrotation is seen in the atmospheres of other terrestrial bodies (Venus, Titan) but not in that of present Earth, which is distinguished by equatorial easterlies. Nevertheless, superrotation has appeared in numerical simulations of Earth’s atmosphere, from two-layer models to multilevel comprehensive GCMs. Simulations of warm climates that generate enhanced tropical convective variability seem particularly prone to superrotation, which has led to hypotheses that the warmer atmospheres of the early Pliocene and Eocene may have been superrotating, and that the phenomenon may be relevant to future climate projections.

This paper considers a positive feedback leading to superrotation based on an equatorial wave resonance that occurs in a westerly background flow. The authors present simulations with an idealized multilevel GCM forced with a zonally varying equatorial heating, which show abrupt transitions to strongly superrotating states. Linear shallow water theory is used to show that these transitions occur as the superrotating jet velocity approaches the phase speed of free equatorial Rossby wave modes, leading to a resonant amplification of the response to eddy heating and its associated equatorward momentum flux. The resonance and transition are most prominent in simulations where the meridional temperature gradient has been reduced, and hysteresis behavior is seen when the gradient is eliminated completely. No evidence is found in these simulations for the midlatitude wave feedback believed to drive abrupt transitions in two-layer models, and there is only a minor role for the axisymmetric feedback based on vertical advection by the Hadley circulation.

Corresponding author address: Nathan Arnold, Harvard University, 24 Oxford St., Cambridge, MA 02138. E-mail: narnold@fas.harvard.edu
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  • Biello, J. A., A. J. Majda, and M. W. Moncrieff, 2007: Meridional momentum flux and superrotation in the multiscale IPESD MJO model. J. Atmos. Sci., 64, 16361651.

    • Search Google Scholar
    • Export Citation
  • Caballero, R., and M. Huber, 2010: Spontaneous transition to superrotation in warm climates simulated by CAM3. Geophys. Res. Lett., 37, L11701, doi:10.1029/2010GL043468.

    • Search Google Scholar
    • Export Citation
  • Dima, I. M., J. M. Wallace, and I. Kraucunas, 2005: Tropical zonal momentum balance in the NCEP reanalyses. J. Atmos. Sci., 62, 24992513.

    • Search Google Scholar
    • Export Citation
  • Gill, A. E., 1980: Some simple solutions for heat-induced tropical circulation. Quart. J. Roy. Meteor. Soc., 106, 447462.

  • Grabowski, W. W., 2004: An improved framework for superparameterization. J. Atmos. Sci., 61, 19401952.

  • Held, I. M., 1999: Equatorial superrotation in Earth-like atmospheric models. Berhard Haurwitz Memorial Lecture, presented at the Annual Meeting of the American Meteorological Society, Dallas, TX. [Available online at http://www.gfdl.noaa.gov/cms-filesystem-action/user_files/ih/lectures/super.pdf.]

    • Search Google Scholar
    • Export Citation
  • Held, I. M., and M. J. Suarez, 1978: A two-level primitive equation atmospheric model designed for climatic sensitivity experiments. J. Atmos. Sci., 35, 206229.

    • Search Google Scholar
    • Export Citation
  • 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
  • Hide, R., 1969: Dynamics of the atmospheres of the major planets with an appendix on the viscous boundary layer at the rigid bounding surface of an electrically conducting rotating fluid in the presence of a magnetic field. J. Atmos. Sci., 26, 841852.

    • Search Google Scholar
    • Export Citation
  • Holton, J. R., 2004: An Introduction to Dynamic Meteorology. 4th ed. Elsevier, 511 pp.

  • Hoskins, B. J., R. B. Neale, M. Rodwell, and Y. Gui-Ying, 1999: Aspects of the large-scale tropical atmospheric circulation. Tellus, 51, 3344.

    • Search Google Scholar
    • Export Citation
  • Huang, H.-P., P. Sardeshmukh, and K. Weickmann, 1999: The balance of global angular momentum in a long-term atmospheric data set. J. Geophys. Res., 104, 20312040.

    • Search Google Scholar
    • Export Citation
  • Huang, H.-P., K. M. Weickmann, and C. J. Hsu, 2001: Trend in atmospheric angular momentum in a transient climate change simulation with greenhouse gas and aerosol forcing. J. Climate, 14, 15251534.

    • Search Google Scholar
    • Export Citation
  • Kalnay, E., and Coauthors, 1996: The NCEP/NCAR 40-Year Reanalysis Project. Bull. Amer. Meteor. Soc., 77, 437471.

  • Kiladis, G. N., K. H. Straub, and P. T. Haertel, 2005: Zonal and vertical structure of the Madden–Julian oscillation. J. Atmos. Sci., 62, 27902809.

    • Search Google Scholar
    • Export Citation
  • Kraucunas, I., and D. L. Hartmann, 2005: Equatorial superrotation and the factors controlling the zonal-mean zonal winds in the tropical upper troposphere. J. Atmos. Sci., 62, 371389.

    • Search Google Scholar
    • Export Citation
  • Lee, S., 1999: Why are the climatological zonal winds easterly in the equatorial upper troposphere? J. Atmos. Sci., 56, 13531363.

  • Lindzen, R. S., and A. Y. Hou, 1988: Hadley circulations for zonally averaged heating centered off the equator. J. Atmos. Sci., 45, 24162427.

    • Search Google Scholar
    • Export Citation
  • Mitchell, J. L., and G. K. Vallis, 2010: The transition to superrotation in terrestrial atmospheres. J. Geophys. Res., 115, E12008, doi:10.1029/2010JE003587.

    • Search Google Scholar
    • Export Citation
  • Moncrieff, M. W., 2004: Analytic representation of the large-scale organization of tropical convection. J. Atmos. Sci., 61, 15211538.

    • Search Google Scholar
    • Export Citation
  • Panetta, R. L., I. Held, and R. Pierrehumbert, 1987: External Rossby waves in the two-layer model. J. Atmos. Sci., 44, 29242933.

  • Phlips, P., and A. Gill, 1987: An analytic model of the heat-induced tropical circulation in the presence of a mean wind. Quart. J. Roy. Meteor. Soc., 113, 213236.

    • Search Google Scholar
    • Export Citation
  • Pierrehumbert, R. T., 2000: Climate change and the tropical Pacific: The sleeping dragon wakes. Proc. Natl. Acad. Sci. USA, 97, 13551358.

    • Search Google Scholar
    • Export Citation
  • Randel, W. J., and I. M. Held, 1991: Phase speed spectra of transient eddy fluxes and critical layer absorption. J. Atmos. Sci., 48, 688698.

    • Search Google Scholar
    • Export Citation
  • Salby, M. L., and R. R. Garcia, 1987: Transient response to localized episodic heating in the tropics. Part I: Excitation and short-time near-field behavior. J. Atmos. Sci., 44, 458498.

    • Search Google Scholar
    • Export Citation
  • Saravanan, R., 1993: Equatorial superrotation and maintenance of the general circulation in two-level models. J. Atmos. Sci., 50, 12111227.

    • Search Google Scholar
    • Export Citation
  • Schumacher, C., R. Houze Jr., and I. Kraucunas, 2004: The tropical dynamical response to latent heating estimates derived from the TRMM precipitation radar. J. Atmos. Sci., 61, 13411358.

    • Search Google Scholar
    • Export Citation
  • Shell, K. M., and I. M. Held, 2004: Abrupt transition to strong superrotation in an axisymmetric model of the upper troposphere. J. Atmos. Sci., 61, 29282936.

    • Search Google Scholar
    • Export Citation
  • Showman, A. P., and L. M. Polvani, 2010: The Matsuno–Gill model and equatorial superrotation. Geophys. Res. Lett., 37, L18811, doi:10.1029/2010GL044343.

    • Search Google Scholar
    • Export Citation
  • Suarez, M. J., and D. G. Duffy, 1992: Terrestrial superrotation: A bifurcation of the general circulation. J. Atmos. Sci., 49, 15411554.

    • Search Google Scholar
    • Export Citation
  • Tziperman, E., and B. Farrell, 2009: Pliocene equatorial temperature: Lessons from atmospheric superrotation. Paleoceanography, 24, PA1101, doi:10.1029/2008PA001652.

    • Search Google Scholar
    • Export Citation
  • Williams, G. P., 2003: Barotropic instability and equatorial superrotation. J. Atmos. Sci., 60, 21362152.

  • Williams, G. P., 2006: Equatorial superrotation and barotropic instability: Static stability variants. J. Atmos. Sci., 63, 15481557.

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