A New Method to Estimate Three-Dimensional Residual-Mean Circulation in the Middle Atmosphere and Its Application to Gravity Wave–Resolving General Circulation Model Data

Kaoru Sato Department of Earth and Planetary Science, University of Tokyo, Tokyo, Japan

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Takenari Kinoshita Department of Earth and Planetary Science, University of Tokyo, Tokyo, Japan

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Kota Okamoto Department of Earth and Planetary Science, University of Tokyo, Tokyo, Japan

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Abstract

A new method is proposed to estimate three-dimensional (3D) material circulation driven by waves based on recently derived formulas by Kinoshita and Sato that are applicable to both Rossby waves and gravity waves. The residual-mean flow is divided into three, that is, balanced flow, unbalanced flow, and Stokes drift. The latter two are wave-induced components estimated from momentum flux divergence and heat flux divergence, respectively. The unbalanced mean flow is equivalent to the zonal-mean flow in the two-dimensional (2D) transformed Eulerian mean (TEM) system. Although these formulas were derived using the “time mean,” the underlying assumption is the separation of spatial or temporal scales between the mean and wave fields. Thus, the formulas can be used for both transient and stationary waves. Considering that the average is inherently needed to remove an oscillatory component of unaveraged quadratic functions, the 3D wave activity flux and wave-induced residual-mean flow are estimated by an extended Hilbert transform. In this case, the scale of mean flow corresponds to the whole scale of the wave packet. Using simulation data from a gravity wave–resolving general circulation model, the 3D structure of the residual-mean circulation in the stratosphere and mesosphere is examined for January and July. The zonal-mean field of the estimated 3D circulation is consistent with the 2D circulation in the TEM system. An important result is that the residual-mean circulation is not zonally uniform in both the stratosphere and mesosphere. This is likely caused by longitudinally dependent wave sources and propagation characteristics. The contribution of planetary waves and gravity waves to these residual-mean flows is discussed.

Current affiliation: National Institute of Information and Communications Technology, Tokyo, Japan.

Corresponding author address: Kaoru Sato, Department of Earth and Planetary Science, University of Tokyo, 7-3-1 Bunkyoku Hongo, Tokyo 113-0033, Japan. E-mail: kaoru@eps.s.u-tokyo.ac.jp

Abstract

A new method is proposed to estimate three-dimensional (3D) material circulation driven by waves based on recently derived formulas by Kinoshita and Sato that are applicable to both Rossby waves and gravity waves. The residual-mean flow is divided into three, that is, balanced flow, unbalanced flow, and Stokes drift. The latter two are wave-induced components estimated from momentum flux divergence and heat flux divergence, respectively. The unbalanced mean flow is equivalent to the zonal-mean flow in the two-dimensional (2D) transformed Eulerian mean (TEM) system. Although these formulas were derived using the “time mean,” the underlying assumption is the separation of spatial or temporal scales between the mean and wave fields. Thus, the formulas can be used for both transient and stationary waves. Considering that the average is inherently needed to remove an oscillatory component of unaveraged quadratic functions, the 3D wave activity flux and wave-induced residual-mean flow are estimated by an extended Hilbert transform. In this case, the scale of mean flow corresponds to the whole scale of the wave packet. Using simulation data from a gravity wave–resolving general circulation model, the 3D structure of the residual-mean circulation in the stratosphere and mesosphere is examined for January and July. The zonal-mean field of the estimated 3D circulation is consistent with the 2D circulation in the TEM system. An important result is that the residual-mean circulation is not zonally uniform in both the stratosphere and mesosphere. This is likely caused by longitudinally dependent wave sources and propagation characteristics. The contribution of planetary waves and gravity waves to these residual-mean flows is discussed.

Current affiliation: National Institute of Information and Communications Technology, Tokyo, Japan.

Corresponding author address: Kaoru Sato, Department of Earth and Planetary Science, University of Tokyo, 7-3-1 Bunkyoku Hongo, Tokyo 113-0033, Japan. E-mail: kaoru@eps.s.u-tokyo.ac.jp
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  • Andrews, D. G., and M. E. McIntyre, 1976: Planetary waves in horizontal and vertical shear: The generalized Eliassen–Palm relation and the mean zonal acceleration. J. Atmos. Sci., 33, 20312048.

    • Search Google Scholar
    • Export Citation
  • Andrews, D. G., J. R. Holton, and C. B. Leovy, 1987: Middle Atmosphere Dynamics. Academic Press, 489 pp.

  • Birner, T., and H. Bönisch, 2011: Residual circulation trajectories and transit times into the extratropical lowermost stratosphere. Atmos. Chem. Phys., 11, 817827, doi:10.5194/acp-11-817-2011.

    • Search Google Scholar
    • Export Citation
  • Bracewell, R., 1999: The Fourier Transform and Its Applications. McGraw-Hill, 640 pp.

  • Butchart, N., and Coauthors, 2006: Simulations of anthropogenic change in the strength of the Brewer–Dobson circulation. Climate Dyn., 27, 727741, doi:10.1007/s00382-006-0162-4.

    • Search Google Scholar
    • Export Citation
  • Butchart, N., and Coauthors, 2010: Chemistry–climate model simulations of twenty-first century stratospheric century stratospheric. J. Climate, 23, 53495374.

    • Search Google Scholar
    • Export Citation
  • Callaghan, P. F., and M. L. Salby, 2002: Three-dimensionality and forcing of the Brewer–Dobson circulation. J. Atmos. Sci., 59, 976991.

    • Search Google Scholar
    • Export Citation
  • Calvo, N., and R. R. Garcia, 2009: Wave forcing of the tropical upwelling in the lower stratosphere under increasing concentrations of greenhouse gases. J. Atmos. Sci., 66, 31843196.

    • Search Google Scholar
    • Export Citation
  • Dunkerton, T. J., 1978: On the mean meridional mass motions of the stratosphere and mesosphere. J. Atmos. Sci., 35, 23252333.

  • Dunkerton, T. J., C.-P. F. Hsu, and M. E. McIntyre, 1981: Some Eulerian and Lagrangian diagnostics for a model stratospheric warming. J. Atmos. Sci., 38, 819843.

    • Search Google Scholar
    • Export Citation
  • Garcia, R. R., and W. J. Randel, 2008: Acceleration of the Brewer–Dobson circulation due to increases in greenhouse gases. J. Atmos. Sci., 65, 27312739.

    • Search Google Scholar
    • Export Citation
  • Haynes, P. H., M. E. McIntyre, T. G. Shepherd, C. J. Marks, and K. P. Shin, 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
  • Hitchman, M. H., and M. J. Rogal, 2010: Influence of tropical convection on the southern hemisphere ozone maximum during the winter to spring transition. J. Geophys. Res., 115, D14118, doi:10.1029/2009JD012883.

    • Search Google Scholar
    • Export Citation
  • Holton, J. R., 1982: The role of gravity wave induced drag and diffusion in the momentum budget of the mesosphere. J. Atmos. Sci., 39, 791799.

    • Search Google Scholar
    • Export Citation
  • Holton, J. R., P. H. Haynes, M. E. McIntyre, A. R. Douglass, R. B. Rood, and L. Pfister, 1995: Stratosphere-troposphere exchange. Rev. Geophys., 33, 403439.

    • Search Google Scholar
    • Export Citation
  • Kawatani, Y., and K. Hamilton, 2011: The quasi-biennial oscillation in a double CO2 climate. J. Atmos. Sci., 68, 265283.

  • Kawatani, Y., K. Sato, T. J. Dunkerton, S. Watanabe, S. Miyahara, and M. Takahashi, 2010: The roles of equatorial trapped waves and internal inertia–gravity waves in driving the quasi-biennial oscillation. Part I: Zonal mean wave forcing. J. Atmos. Sci., 67, 963980.

    • Search Google Scholar
    • Export Citation
  • Kinoshita, T., and K. Sato, 2013a: A formulation of three-dimensional residual-mean flow applicable both to inertia–gravity waves and to Rossby waves. J. Atmos. Sci., 70, 15771602.

    • Search Google Scholar
    • Export Citation
  • Kinoshita, T., and K. Sato, 2013b: A formulation of unified three-dimensional wave activity flux of inertia–gravity waves and Rossby waves. J. Atmos. Sci., 70, 16031615.

    • Search Google Scholar
    • Export Citation
  • Li, F., J. Austin, and J. Wilson, 2008: The strength of the Brewer–Dobson circulation in a changing climate: A coupled chemistry-climate model simulation. J. Climate, 21, 4057.

    • Search Google Scholar
    • Export Citation
  • Li, F., R. S. Stolarski, S. Pawson, P. A. Newman, and D. Waugh, 2010: Narrowing of the upwelling branch of the Brewer-Dobson circulation and Hadley cell in chemistry-climate model simulations of the 21st century. Geophys. Res. Lett., 37, L13702, doi:10.1029/2010GL043718.

    • Search Google Scholar
    • Export Citation
  • Lieberman, R. S., 1999: The gradient wind in the mesosphere and lower thermosphere. Earth Planets Space, 51, 751761.

  • Lin, P., Q. Fu, S. Solomon, and J. M. Wallace, 2009: Temperature trend patterns in southern hemisphere high latitudes: Novel indicators of stratospheric change. J. Climate, 22, 63256341.

    • Search Google Scholar
    • Export Citation
  • Lindzen, R. S., 1981: Turbulence and stress owing to gravity wave and tidal breakdown. J. Geophys. Res., 86, 97079714.

  • Matsuno, T., 1982: A quasi one-dimensional model of the middle atmosphere circulation interacting with internal gravity waves. J. Meteor. Soc. Japan, 60, 215226.

    • Search Google Scholar
    • Export Citation
  • McLandress, C., and T. G. Shepherd, 2009: Simulated anthropogenic changes in the Brewer–Dobson circulation, including its extension to high latitudes. J. Climate, 22, 15161540.

    • Search Google Scholar
    • Export Citation
  • Miyahara, S., D. Yamamoto, and Y. Miyoshi, 2000: On the geostrophic balance of mean zonal winds in the mesosphere and lower thermosphere. J. Meteor. Soc. Japan, 78, 683688.

    • Search Google Scholar
    • Export Citation
  • Miyazaki, K., S. Watanabe, Y. Kawatani, Y. Tomikawa, M. Takahashi, and K. Sato, 2010: Transport and mixing in the extratropical tropopause region in a high vertical resolution GCM. Part I: Potential vorticity and heat budget analysis. J. Atmos. Sci., 67, 12931314.

    • Search Google Scholar
    • Export Citation
  • Norton, W. A., 2006: Tropical wave driving of the annual cycle in tropical tropopause temperatures. Part II: Model results. J. Atmos. Sci., 63, 14201431.

    • Search Google Scholar
    • Export Citation
  • Okamoto, K., K. Sato, and H. Akiyoshi, 2011: A study on the formation and trend of the Brewer-Dobson circulation. J. Geophys. Res., 116, D10117, doi:10.1029/2010JD014953.

    • Search Google Scholar
    • Export Citation
  • Plumb, R. A., 2002: Stratospheric transport. J. Meteor. Soc. Japan, 80, 793809.

  • Preusse, P., A. Dörnbrack, S. D. Eckermann, M. Riese, B. Schaeler, J. T. Bacmeister, D. Broutman, and K. U. Grossmann, 2002: Space-based measurements of stratospheric mountain waves by CRISTA: 1. Sensitivity, analysis method, and a case study. J. Geophys. Res., 107, 8178, doi:10.1029/2001JD000699.

    • Search Google Scholar
    • Export Citation
  • Randel, W. J., 1987: The evaluation of winds from geopotential height data in the stratosphere. J. Atmos. Sci., 44, 30973120.

  • Randel, W. J., M. Park, L. Emmons, D. Kinnison, P. Bernath, K. A. Walker, C. Boone, and H. Pumphrey, 2010: Asian monsoon transport of pollution to the stratosphere. Science, 328, 611613.

    • Search Google Scholar
    • Export Citation
  • Rosenlof, K. H., 1995: Seasonal cycle of the residual-mean meridional circulation in the stratosphere. J. Geophys. Res., 100, 51735191.

    • Search Google Scholar
    • Export Citation
  • Sato, K., D. O’Sullivan, and T. J. Dunkerton, 1997: Low-frequency inertia-gravity waves in the stratosphere revealed by three-week continuous observation with the mu radar. Geophys. Res. Lett., 24, 17391742.

    • Search Google Scholar
    • Export Citation
  • Sato, K., M. Yamamori, S. Ogino, N. Takahashi, Y. Tomikawa, and T. Yamaouchi, 2003: A meridional scan of the stratospheric gravity wave field over the ocean in 2001 (MeSSO2001). J. Geophys. Res., 108, 4491, doi:10.1029/2002JD003219.

    • Search Google Scholar
    • Export Citation
  • Sato, K., Y. Tomikawa, G. Hashida, T. Yamanouchi, H. Nakajima, and T. Sugita, 2009a: Longitudinal dependence of ozone recovery in the Antarctic polar vortex revealed by balloon and satellite observations. J. Atmos. Sci., 66, 18071820.

    • Search Google Scholar
    • Export Citation
  • Sato, K., S. Watanabe, Y. Kawatani, Y. Tomikawa, K. Miyazaki, and M. Takahashi, 2009b: On the origins of mesospheric gravity waves. Geophys. Res. Lett., 36, L19801, doi:10.1029/2009GL039908.

    • Search Google Scholar
    • Export Citation
  • Sato, K., S. Tateno, S. Watanabe, and Y. Kawatani, 2012: Gravity wave characteristics in the Southern Hemisphere revealed by a high-resolution middle-atmosphere general circulation model. J. Atmos. Sci.,69, 1378–1396.

  • Seidel, D. J., and W. J. Randel, 2007: Recent widening of the tropical belt: Evidence from tropopause observations. J. Geophys. Res.,112, D20113, doi:10.1029/2007JD008861.

  • Seviour, W. J. M., N. Butchart, and S. C. Hardiman, 2012: The Brewer-Dobson circulation inferred from ERA-Interim. Quart. J. Roy. Meteor. Soc., 138, 878888.

    • Search Google Scholar
    • Export Citation
  • Shepherd, T. G., and C. McLandress, 2011: Strengthening of the Brewer–Dobson circulation in response to climate change: Critical-layer control of subtropical wave breaking. J. Atmos. Sci., 68, 784797.

    • Search Google Scholar
    • Export Citation
  • Smith, A. K., 2003: The origin of stationary planetary waves in the upper mesosphere. J. Atmos. Sci., 60, 30333041.

  • Ueyama, R., and J. M. Wallace, 2010: To what extent does high-latitude wave forcing drive tropical upwelling in the Brewer-Dobson circulation? J. Atmos. Sci., 67, 12321246.

    • Search Google Scholar
    • Export Citation
  • Watanabe, S., Y. Kawatani, Y. Tomikawa, K. Miyazaki, M. Takahashi, and K. Sato, 2008: General aspects of a T213L256 middle atmosphere general circulation model. J. Geophys. Res., 113, D12110, doi:10.1029/2008JD010026.

    • Search Google Scholar
    • Export Citation
  • Watanabe, S., Y. Tomikawa, K. Sato, Y. Kawatani, K. Miyazaki, and M. Takahashi, 2009: Simulation of the eastward 4-day wave in the Antarctic winter mesosphere using a gravity wave resolving general circulation model. J. Geophys. Res., 114, D16111, doi:10.1029/2008JD011636.

    • Search Google Scholar
    • Export Citation
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