Eliassen–Palm Fluxes of the 2-Day Wave

Ruth S. Lieberman Space Physics Research Laboratory, University of Michigan, Ann Arbor, Michigan

Search for other papers by Ruth S. Lieberman in
Current site
Google Scholar
PubMed
Close
Restricted access

We are aware of a technical issue preventing figures and tables from showing in some newly published articles in the full-text HTML view.
While we are resolving the problem, please use the online PDF version of these articles to view figures and tables.

Abstract

High-Resolution Doppler Imager (HRDI) winds and temperatures are used to diagnose a 2-day wave event detected in the Southern Hemisphere during January 1994. A novel aspect of this study is the focus upon the wave fluxes throughout the 65–100-km range, and their relationship to the background state. A wave “packet” composed of zonal wavenumbers 2, 3, and 4 propagates westward with a phase speed near 60 m s−1. The periods associated with zonal wavenumbers 2, 3, and 4 are 3.5, 2.1, and 1.7 days, respectively.

The morphology of the 2-day temperature and wind fields is consistent with that of a developing baroclinic wave. The divergence of the Eliassen–Palm flux of zonal wavenumbers 2–4 is dominated by the vertical convergence of meridional heat flux. The wave driving (or Eliassen–Palm flux divergence per unit mass) is predominantly westward, with magnitudes on the order of 5 m s−1 day−1. A steady-state quasigeostrophic model of the mean meridionaI circulation is used to estimate the mean wind response. The January 1994 event induces weak equatorward flow (less than 1 m s−1), together with westward winds on the order of 20 m s−1.

Corresponding author address: Ruth S. Lieberman, Colorado Research Associates, 3380 Mitchell Lane, Boulder, CO 80301.

Abstract

High-Resolution Doppler Imager (HRDI) winds and temperatures are used to diagnose a 2-day wave event detected in the Southern Hemisphere during January 1994. A novel aspect of this study is the focus upon the wave fluxes throughout the 65–100-km range, and their relationship to the background state. A wave “packet” composed of zonal wavenumbers 2, 3, and 4 propagates westward with a phase speed near 60 m s−1. The periods associated with zonal wavenumbers 2, 3, and 4 are 3.5, 2.1, and 1.7 days, respectively.

The morphology of the 2-day temperature and wind fields is consistent with that of a developing baroclinic wave. The divergence of the Eliassen–Palm flux of zonal wavenumbers 2–4 is dominated by the vertical convergence of meridional heat flux. The wave driving (or Eliassen–Palm flux divergence per unit mass) is predominantly westward, with magnitudes on the order of 5 m s−1 day−1. A steady-state quasigeostrophic model of the mean meridionaI circulation is used to estimate the mean wind response. The January 1994 event induces weak equatorward flow (less than 1 m s−1), together with westward winds on the order of 20 m s−1.

Corresponding author address: Ruth S. Lieberman, Colorado Research Associates, 3380 Mitchell Lane, Boulder, CO 80301.

Save
  • Abreu, V. J., A. Bucholtz, P. B. Hays, D. A. Ortland, W. R. Skinner, and J.-H. Yee, 1989: Absorption and emission line shapes in the O2 atmospheric bands: Theoretical model and limb viewing simulations. Appl. Opt.,28, 2128–2137.

  • Allen, D. R., J. L. Stanford, L. S. Elson, E. F. Fishbein, L. Froidevaux, and J. W. Waters, 1997: The 4-day wave as observed from the Upper Atmosphere Research Satellite Microwave Limb Sounder. J. Atmos. Sci.,54, 420–434.

  • Andrews, D. G., 1987: On the interpretation of the Eliassen–Palm flux divergence. Quart. J. Roy. Meteor. Soc.,113, 323–338.

  • ——, and M. E. McIntyre, 1976: Planetary waves in horizontal and vertical shear: The generalized Eliassen–Palm relation and the mean zonal accelaration. J. Atmos. Sci.,33, 2031–2048.

  • ——, and ——, 1978: Generalized Eliassen–Palm and Charney–Drazin theorems for waves on axisymmetric mean flows in compressible atmospheres. J. Atmos. Sci.,35, 175–185.

  • ——, J. R. Holton, and C. B. Leovy, 1987: Middle Atmosphere Dynamics. Academic Press, 489 pp.

  • Boyd, J. P., 1976: The noninteraction of waves with the zonally averaged flow on a spherical earth and the interrelationships of eddy fluxes of energy, heat and momentum. J. Atmos. Sci.,33, 2285–2291.

  • Burks, D., and C. B. Leovy, 1986: Planetary waves near the mesospheric easterly jet. Geophys. Res. Lett.,13, 193–196.

  • Burrage, M. D., N. Arvin, W. R. Skinner, and P. B. Hays, 1994: Observations of the the O2 atmospheric band nightglow by the High Resolution Doppler Imager. J. Geophys. Res.,99, 15 017–15 023.

  • ——, and Coauthors, 1996: Validation of mesospheric and lower thermospheric winds from the high resolution Doppler imager on UARS. J. Geophys. Res.,101, 10 365–10 392.

  • Canziani, P. O., J. R. Holton, E. Fishbein, L. Froidevaux, and J. W. Waters, 1994: Equatorial Kelvin waves: A UARS MLS view. J. Atmos. Sci.,51, 3053–3076.

  • Charney, J. G., and P. G. Drazin, 1961: Propagation of planetary-scale disturbances from the lower into the upper atmosphere. J. Geophys. Res.,66, 83–109.

  • Coy, L., 1979: A possible 2-day oscillation near the tropical stratopause. J. Atmos. Sci.,36, 1615–1618.

  • Craig, R. L., and W. G. Elford, 1981: Observations of the quasi-2-day wave in the Southern Hemisphere mesosphere. J. Atmos. Terr. Phys.,43, 1051–1056.

  • Dickinson, R. E., 1969: Theory of planetary wave–zonal flow interaction. J. Atmos. Sci.,26, 73–81.

  • Edmon, H. J., B. J. Hoskins, and M. E. McIntyre, 1980: Eliassen–Palm cross sections for the troposphere. J. Atmos. Sci.,37, 2600–2616; Corrigendum, 38, 1115.

  • Elson, L. S., and L. Froidevaux, 1993: Use of Fourier transforms for asynoptic mapping: Applications to the Upper Atmosphere Research Satellite Microwave Limb Sounder. J. Geophys. Res.,98, 23 039–23 049.

  • Fleming, E. R., S. Chandra, J. J. Barnett, and M. Corney, 1990: Zonal mean temperature, pressure, zonal wind and geopotential height as functions of latitude. Adv. Space. Res.,10, 11–59.

  • Fritts, D. C., and J. R. Isler, 1994: Mean motions and tidal and 2-day structure and variability in the mesosphere and lower thermosphere over Hawaii. J. Atmos. Sci.,51, 2145–2164.

  • ——, and Coauthors, 1999: 2-day wave structure and mean–flow interactions observed by radar and HRDI. J. Geophys. Res.,104, 3953–3969.

  • Garcia, R. R., 1987: On the mean meridional circulation of the middle atmosphere. J. Atmos. Sci.,44, 3599–3609.

  • Hagan, M. E., J. M. Forbes, and F. Vial, 1993: Numerical investigation of the propagation of the quasi-2-day wave into the lower thermosphere. J. Geophys. Res.,98, 23 193–23 205.

  • Haggard, K. V., E. R. Remsberg, W. J. Grose, J. M. Russell, B. T. Marshall, and G. Lingenfelser, 1986: Description of data on Nimbus-7 LIMS map archive data. NASA Tech. Rep. 2553, 55 pp. [Available from NTIS, 5285 Port Royal Rd., Springfield, VA 22161.].

  • Harris, T. J., 1994: A long-term study of the quasi-2-day wave in the middle atmosphere. J. Atmos. Terr. Phys.,56, 569–579.

  • ——, and R. A. Vincent, 1993: The quasi-2-day wave observed in the equatorial middle atmosphere. J. Geophys. Res.,98, 10 481–10 490.

  • Hartmann, D. L., 1983: Barotropic instability of the polar night jet stream. J. Atmos. Sci.,40, 817–835.

  • Hays, P. B., V. J. Abreu, M. E. Dobbs, D. A. Gell, H. J. Grassl, and W. R. Skinner, 1993: The high-resolution Doppler imager on the Upper Atmosphere Research Satellite. J. Geophys. Res.,98, 10 713–10 723.

  • ——, and Coauthors, 1994: Observations of the diurnal tide from space. J. Atmos. Sci.,51, 3077–3093.

  • Hitchman, M. H., C. B. Leovy, J. C. Gille, and P. L. Bailey, 1987: Quasi-stationary zonally asymmetric circulations in the equatorial middle atmosphere. J. Atmos. Sci.,44, 2219–2236.

  • Holton, J. R., 1992: An Introduction to Dynamic Meteorology. 3d ed. Academic Press, 507 pp.

  • Hoskins, B. J., 1983: Modelling of the transient eddies and their feedback on the mean flow. Large-Scale Dynamical Processes in the Atmosphere, B. Hoskins and R. Pearce, Eds., Academic Press, 169–199.

  • Huang, T. Y. W., and A. K. Smith, 1991: The mesospheric diabatic circulation and the parameterized thermal effect of gravity wave breaking on the circulation. J. Atmos. Sci.,48, 1093–1111.

  • Lait, L. R., and J. L. Stanford, 1988a: Applications of asynoptic space–time Fourier transform methods to scanning satellite measurements. J. Atmos. Sci.,45, 3784–3799.

  • ——, and ——, 1988b: Fast, long-lived features in the polar stratosphere. J. Atmos. Sci.,45, 3800–3809.

  • Lieberman, R. S., 1991: Nonmigrating diurnal tides in the equatorial middle atmosphere. J. Atmos. Sci.,48, 1112–1123.

  • ——, 1999: On the gradient wind approximation in the mesosphere and lower thermosphere. Earth, Planets Space, in press.

  • ——, and P. B. Hays, 1994: An estimate of the momentum deposition in the lower thermosphere by the observed diurnal tide. J. Atmos. Sci.,51, 3094–3105.

  • ——, and D. Riggin, 1997: High resolution Doppler imager observations of Kelvin waves in the equatorial mesophere and lower thermosphere. J. Geophys. Res.,102, 26 117–26 130.

  • ——, and Coauthors, 1998: HRDI observations of mean meridional winds at solstice. J. Atmos. Sci.,55, 1887–1896.

  • Limpasuvan, V., and C. B. Leovy, 1995: Observations of the 2-day wave near the southern summer stratopause. Geophys. Res. Lett.,22, 2385–2388.

  • Longuett-Higgins, M. S., 1967: The eigenfunctions of Laplace’s tidal equations over a sphere. Philos. Trans. Roy. Soc. London,269A, 511–607.

  • Manney, G. L., and W. J. Randel, 1993: Instability at the winter stratopause: A mechanism for the 4-day wave. J. Atmos. Sci.,50, 3928–3938.

  • ——, T. R. Nathan, and J. L. Stanford, 1988: Barotropic instability of realistic stratospheric jets. J. Atmos. Sci.,45, 2545–2555.

  • Manson, A. H., 1990: Gravity wave horizontal and vertical wavelengths: An update of measurements in the mesopause region. J. Atmos. Sci.,47, 2765–2773.

  • ——, and Coauthors, 1991: Comparisons between satellite-derived gradient winds and radar-derived winds from the CIRA-86. J. Atmos. Sci.,48, 411–428.

  • Mechoso, C. R., D. L. Hartmann, and J. Farrara, 1985: Climatology and interannual variability of wave mean–flow interaction in the Southern Hemisphere. J. Atmos. Sci.,42, 2189–2206.

  • Meek, C. E., and Coauthors, 1996: Global study of northern hemisphere quasi-2-day wave events in recent summers near 90-km altitude. J. Atmos. Terr. Phys.,58, 1401–1411.

  • Muller, H. G., 1972: Long-period meteor wind oscillations. Philos. Trans. Roy. Soc. London,271, 585–598.

  • Norton, W. A., and J. Thoburn, 1996: The 2-day wave in a middle atmosphere GCM. Geophys. Res. Lett.,23, 2113–2116.

  • O’Neil, A., and C. E. Youngblut, 1982: Stratospheric warmings diagnosed using the transformed Eulerian-mean equations and the effect of the mean state on wave propagation. J. Atmos. Sci.,39, 1370–1386.

  • Orsolini, Y. J., V. Limpasuvan, and C. B. Leovy, 1997: The tropical stratopause in the UKMO stratospheric analysis: Evidence for a 2-day wave and inertial circulations. Quart. J. Roy. Meteor. Soc.,123, 1707–1724.

  • Ortland, D. A., P. B. Hays, W. R. Skinner, M. D. Burrage, A. R. Marshall, and D. A. Gell, 1995: A sequential estimation technique for recovering atmospheric data from orbiting satellites. The Upper Mesosphere and Lower Thermosphere: A Review of Experiment and Theory, Geophys. Monogr. Series, No. 87, Amer. Geophys. Union, 329–337.

  • ——, ——, ——, and J. H. Yee, 1998: Remote sensing of mesospheric temperature and O2(1Σ) band volume emission rates with the high resolution Doppler imager. J. Geophys. Res.,103, 1821–1835.

  • Palmer, T. N., 1981: Diagnostic study of a wavenumber-2 stratospheric sudden warming in a transformed Eulerian-mean formalism. J. Atmos. Sci.,38, 844–855.

  • Palo, S. E., and S. K. Avery, 1995: Observations of the meridional quasi-2-day wave in the mesosphere and lower thermosphere at Christmas Island. The Upper Mesosphere and Lower Thermosphere: A Review of Experiment and Theory, Geophys. Monogr. Series, No. 87, Amer. Geophys. Union, 139–224.

  • Pfister, L., 1985: Baroclinic instability of easterly jets with applications to the summer mesosphere. J. Atmos. Sci.,42, 313–330.

  • Plumb, R. A., 1982: Zonally symmetric Hough modes and meridional circulations in the middle atmosphere. J. Atmos. Sci.,39, 983–991.

  • ——, 1983: Baroclinic instability of the summer mesosphere: A mechanism for the quasi 2-day wave? J. Atmos. Sci.,40, 262–270.

  • ——, R. A. Vincent, and R. L. Craig, 1987: The quasi-2-day wave event of January 1984 and its impact on the mean mesospheric circulation. J. Atmos. Sci.,44, 3030–3036.

  • Randel, W. J., 1994: Observations of the 2-day wave in NMC stratospheric analysis. J. Atmos. Sci.,51, 306–313.

  • Rodgers, C. D., and A. J. Prata, 1981: Evidence for a traveling 2-day wave in the middle atmosphere. J. Geophys. Res.,86, 9661–9664.

  • Salby, M. L., 1981a: The 2-day wave in the middle atmosphere: Observations and theory. J. Geophys. Res.,86, 9654–9660.

  • ——, 1981b: Rossby normal modes in nonuniform background configurations. Part II: Equinox and solstice conditions. J. Atmos. Sci.,38, 1827–1840.

  • ——, 1982: Sampling theory for asynoptic satellite observations. Part I: Space–time spectra, resolution, and aliasing. J. Atmos. Sci.,39, 2577–2601.

  • ——, and R. Roper, 1980: Long-period oscillations in the meteor region. J. Atmos. Sci.,37, 237–244.

  • Smith, A. K., 1983: Observations of wave–wave interactions in the stratosphere. J. Atmos. Sci.,40, 2484–2496.

  • ——, 1996: Longitudinal variations in mesospheric winds: Evidence for gravity wave filtering by planetary waves. J. Atmos. Sci.,53, 1156–1173.

  • Stone, E. M., and Coauthors, 1995: Space–time integrity of improved stratospheric sounder and microwave limb sounder temperature fields at Kelvin wave scales. J. Geophys. Res.,100, 14 089–14 096.

  • Talaat, E. L., and R. S. Lieberman, 1999: Nonmigrating diurnal tides in mesospheric and lower-thermospheric winds and temperatures. J. Atmos. Sci., in press.

  • Thayaparan, T., W. K. Hocking, and J. MacDougall, 1997a: Amplitude, phase and period variations of the quasi-2-day wave in the mesosphere and lower thermosphere over London, Canada (43°N, 81°W) during 1993 and 1994. J. Geophys. Res.,102, 9461–9478.

  • ——, ——, and ——, 1997b: Simultaneous observations of the 2-day wave at London (43°N, 81°W) and Saskatoon (52°N, 107°W) near 91 km altitude during two years of 1993 and 1994. Ann. Geophys.,15, 1324–1339.

  • Tsuda, T., S. Kato, and R. A. Vincent, 1988: Long period oscillations observed by the Kyoto meteor radar and comparison of the quasi-2-day wave with Adelaide MF radar observations. J. Atmos. Terr. Phys.,50, 225–230.

  • Tsutsumi, M., T. Tsuda, T. Nakamura, and S. Fukao, 1996: Wind velocity and temperature fluctuations due to a 2-day wave observed with radio meteor echoes. J. Geophys. Res.,101, 9425–9432.

  • Vincent, R. A., 1987: Planetary and gravity waves in the mesosphere and lower thermosphere. Adv. Space. Res.,7, 163–169.

  • ——, and D. C. Fritts, 1987: A climatology of gravity wave motions in the mesopause region at Adelaide, Australia. J. Atmos. Sci.,44, 748–760.

  • Ward, W. E., D. Y. Yang, B. H. Solheim, and G. G. Shepard, 1996:Observations of the 2-day wave in WINDII data during January 1993. Geophys. Res. Lett.,23, 2923–2926.

  • ——, B. H. Solheim, and G. G. Shepard, 1997: 2-day wave induced variations in the oxygen green line volume emission rate: WINDII observations. Geophys. Res. Lett.,24, 1127–1130.

  • Wu, D. L., P. B. Hays, W. R. Skinner, A. R. Marshall, M. D. Burrage, R. S. Lieberman, and D. A. Ortland, 1993: Observations of the quasi-2-day wave from the high resolution Doppler imager. Geophys. Res. Lett.,20, 2853–2856.

  • ——, E. F. Fishbein, W. G. Read, and J. W. Waters, 1996: Excitation and evolution of the quasi-2-day wave observed in UARS/MLS temperature measurements. J. Atmos. Sci.,53, 728–738.

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 873 408 127
PDF Downloads 353 100 6