Positive and Negative Eddy Feedbacks Acting on Midlatitude Jet Variability in a Three-Level Quasigeostrophic Model

Loïc Robert LMD/IPSL, Département de Géosciences, ENS, PSL Research University, École Polytechnique, Université Paris Saclay, Sorbonne Universités, UPMC Univ Paris 06, CNRS, Paris, France

Search for other papers by Loïc Robert in
Current site
Google Scholar
PubMed
Close
,
Gwendal Rivière LMD/IPSL, Département de Géosciences, ENS, PSL Research University, École Polytechnique, Université Paris Saclay, Sorbonne Universités, UPMC Univ Paris 06, CNRS, Paris, France

Search for other papers by Gwendal Rivière in
Current site
Google Scholar
PubMed
Close
, and
Francis Codron LOCEAN/IPSL, Sorbonne Universités, UPMC Univ Paris 06, CNRS, Paris, France

Search for other papers by Francis Codron in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

The variability of midlatitude jets is investigated in a long-term integration of a dry three-level quasigeostrophic model on the sphere. As for most observed jets, the leading EOF of the zonal-mean wind corresponds to latitudinal shifts of the jet, and the second EOF to pulses of the jet speed. The first principal component (PC1) is also more persistent than the second one (PC2); this longer persistence arises from different eddy feedbacks both in the short term (i.e., within a few days following the peak of the PCs) and in the long term. The short-term eddy feedbacks come from two distinct mechanisms. First, a planetary waveguide effect acts as a negative feedback on both PCs. The positive phases of PC1 and PC2, which correspond to poleward-shifted and accelerated jets, respectively, are first driven then canceled by planetary waves reflecting on the equatorward flank of the jet. A similar process occurs for the negative phases when planetary waves reflect on the poleward flank of the jet. Second, synoptic waves also exert a short-term negative feedback on PC2: when the jet accelerates, the enhanced meridional wind shear increases the barotropic sink of eddy energy and depletes it very rapidly, therefore preventing synoptic eddies from maintaining the accelerated jet. Finally, at lags longer than their typical time scale, synoptic eddies drive a positive feedback on PC1 only. This feedback can be explained by a baroclinic mechanism in which the jet shift modifies the baroclinicity, causing, first, eddy heat flux anomalies and, then, momentum convergence anomalies. This feedback is absent for PC2, despite some changes in the baroclinicity.

© 2017 American Meteorological Society. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author e-mail: Loïc Robert, lrobert@lmd.ens.fr

Abstract

The variability of midlatitude jets is investigated in a long-term integration of a dry three-level quasigeostrophic model on the sphere. As for most observed jets, the leading EOF of the zonal-mean wind corresponds to latitudinal shifts of the jet, and the second EOF to pulses of the jet speed. The first principal component (PC1) is also more persistent than the second one (PC2); this longer persistence arises from different eddy feedbacks both in the short term (i.e., within a few days following the peak of the PCs) and in the long term. The short-term eddy feedbacks come from two distinct mechanisms. First, a planetary waveguide effect acts as a negative feedback on both PCs. The positive phases of PC1 and PC2, which correspond to poleward-shifted and accelerated jets, respectively, are first driven then canceled by planetary waves reflecting on the equatorward flank of the jet. A similar process occurs for the negative phases when planetary waves reflect on the poleward flank of the jet. Second, synoptic waves also exert a short-term negative feedback on PC2: when the jet accelerates, the enhanced meridional wind shear increases the barotropic sink of eddy energy and depletes it very rapidly, therefore preventing synoptic eddies from maintaining the accelerated jet. Finally, at lags longer than their typical time scale, synoptic eddies drive a positive feedback on PC1 only. This feedback can be explained by a baroclinic mechanism in which the jet shift modifies the baroclinicity, causing, first, eddy heat flux anomalies and, then, momentum convergence anomalies. This feedback is absent for PC2, despite some changes in the baroclinicity.

© 2017 American Meteorological Society. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author e-mail: Loïc Robert, lrobert@lmd.ens.fr
Save
  • Arakelian, A., and F. Codron, 2012: Southern Hemisphere jet variability in the IPSL GCM at varying resolutions. J. Atmos. Sci., 69, 37883799, doi:10.1175/JAS-D-12-0119.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Barnes, E. A., and D. L. Hartmann, 2011: Rossby wave scales, propagation, and the variability of eddy-driven jets. J. Atmos. Sci., 68, 28932908, doi:10.1175/JAS-D-11-039.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Barnes, E. A., and D. W. J. Thompson, 2014: Comparing the roles of barotropic versus baroclinic feedbacks in the atmospheres response to mechanical forcing. J. Atmos. Sci., 71, 177194, doi:10.1175/JAS-D-13-070.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Codron, F., 2007: Relations between annular modes and the mean state: Southern Hemisphere winter. J. Atmos. Sci., 64, 33283339, doi:10.1175/JAS4012.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Eichelberger, S. J., and D. L. Hartmann, 2007: Zonal jet structure and the leading mode of variability. J. Climate, 20, 51495163, doi:10.1175/JCLI4279.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Feldstein, S. B., and S. Lee, 1996: Mechanisms of zonal index variability in an aquaplanet GCM. J. Atmos. Sci., 53, 35413555, doi:10.1175/1520-0469(1996)053<3541:MOZIVI>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Gerber, E. P., and G. K. Vallis, 2007: Eddy–zonal flow interactions and the persistence of the zonal index. J. Atmos. Sci., 64, 32963311, doi:10.1175/JAS4006.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • James, I. N., 1987: Suppression of baroclinic instability in horizontally sheared flows. J. Atmos. Sci., 44, 37103720, doi:10.1175/1520-0469(1987)044<3710:SOBIIH>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Linkin, M. E., and S. Nigam, 2008: The North Pacific Oscillation–west Pacific teleconnection pattern: Mature-phase structure and winter impacts. J. Climate, 21, 19791997, doi:10.1175/2007JCLI2048.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Lorenz, D. J., 2014: Understanding midlatitude jet variability and change using Rossby wave chromatography: Wave–mean flow interaction. J. Atmos. Sci., 71, 36843705, doi:10.1175/JAS-D-13-0201.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Lorenz, D. J., 2015: Understanding midlatitude jet variability and change using Rossby wave chromatography: Methodology. J. Atmos. Sci., 72, 369388, doi:10.1175/JAS-D-13-0199.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Lorenz, D. J., and D. L. Hartmann, 2001: Eddy–zonal flow feedback in the Southern Hemisphere. J. Atmos. Sci., 58, 33123327, doi:10.1175/1520-0469(2001)058<3312:EZFFIT>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Lorenz, D. J., and D. L. Hartmann, 2003: Eddy–zonal flow feedback in the Northern Hemisphere winter. J. Climate, 16, 12121227, doi:10.1175/1520-0442(2003)16<1212:EFFITN>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Lorenz, E. N., 1955: Available potential energy and the maintenance of the general circulation. Tellus, 7, 157167, doi:10.3402/tellusa.v7i2.8796.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Marshall, J., and F. Molteni, 1993: Toward a dynamical understanding of planetary-scale flow regimes. J. Atmos. Sci., 50, 17921818, doi:10.1175/1520-0469(1993)050<1792:TADUOP>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Michel, C., and G. Rivière, 2014: Sensitivity of the position and variability of the eddy–driven jet to different SST profiles in an aquaplanet general circulation model. J. Atmos. Sci., 71, 349371, doi:10.1175/JAS-D-13-074.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Moon, W., and S. B. Feldstein, 2009: Two types of baroclinic life cycles during the Southern Hemisphere summer. J. Atmos. Sci., 66, 14011417, doi:10.1175/2008JAS2826.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • O’Rourke, A. K., and G. K. Vallis, 2013: Jet interaction and the influence of a minimum phase speed bound on the propagation of eddies. J. Atmos. Sci., 70, 26142628, doi:10.1175/JAS-D-12-0303.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • O’Rourke, A. K., and G. K. Vallis, 2016: Meridional Rossby wave generation and propagation in the maintenance of the wintertime tropospheric double jet. J. Atmos. Sci., 73, 21792201, doi:10.1175/JAS-D-15-0197.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Ring, M. J., and A. R. Plumb, 2008: The response of a simplified GCM to axisymmetric forcings: Applicability of the fluctuation–dissipation theorem. J. Atmos. Sci., 65, 38803898, doi:10.1175/2008JAS2773.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Rivière, G., 2009: The effect of latitudinal variations in low-level baroclinicity on eddy life cycles and upper-tropospheric wave-breaking processes. J. Atmos. Sci., 66, 15691592, doi:10.1175/2008JAS2919.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Rivière, G., 2010: Role of Rossby wave breaking in the west Pacific teleconnection. Geophys. Res. Lett., 37, L11802, doi:10.1029/2010GL043309.

  • Rivière, G., J.-B. Gilet, and L. Oruba, 2013: Understanding the regeneration stage undergone by surface cyclones crossing a midlatitude jet in a two-layer model. J. Atmos. Sci., 70, 28322853, doi:10.1175/JAS-D-12-0345.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Rivière, G., L. Robert, and F. Codron, 2016: A short-term negative eddy feedback on midlatitude jet variability due to planetary wave reflections. J. Atmos. Sci., 73, 43114328, doi:10.1175/JAS-D-16-0079.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Robinson, W. A., 2000: A baroclinic mechanism for the eddy feedback on the zonal index. J. Atmos. Sci., 57, 415422, doi:10.1175/1520-0469(2000)057<0415:ABMFTE>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Shaw, T., and Coauthors, 2016: Storm track processes and the opposing influences of climate change. Nat. Geosci., 9, 656664, doi:10.1038/ngeo2783.

  • Simmons, A. J., and B. J. Hoskins, 1978: The life cycle of some nonlinear baroclinic waves. J. Atmos. Sci., 35, 414432, doi:10.1175/1520-0469(1978)035<0414:TLCOSN>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Simpson, I. R., T. G. Shepherd, P. Hitchcock, and J. F. Scinocca, 2013: Southern annular mode dynamics in observations and models. Part II: Eddy feedbacks. J. Climate, 26, 52205241, doi:10.1175/JCLI-D-12-00495.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Thompson, D. W. J., and J. M. Wallace, 2000: Annular modes in the extratropical circulation. Part I: Month-to-month variability. J. Climate, 13, 10001016, doi:10.1175/1520-0442(2000)013<1000:AMITEC>2.0.CO;2.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Vallis, G. K., 2006: Atmospheric and Oceanic Fluid Dynamics. Cambridge University Press, 745 pp.

    • Crossref
    • Export Citation
  • Vallis, G. K., and E. P. Gerber, 2008: Local and hemispheric dynamics of the North Atlantic Oscillation, annular patterns and the zonal index. Dyn. Atmos. Oceans, 44, 184212, doi:10.1016/j.dynatmoce.2007.04.003.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Yang, X., and E. K. M. Chang, 2007: Eddy–zonal flow feedback in the Southern Hemisphere winter and summer. J. Atmos. Sci., 64, 30913112, doi:10.1175/JAS4005.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Zhang, Y., X.-Q. Yang, Y. Nie, and G. Chen, 2012: Annular mode–like variation in a multilayer quasigeostrophic model. J. Atmos. Sci., 69, 29402958, doi:10.1175/JAS-D-11-0214.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Zurita-Gotor, P., J. Blanco-Fuentes, and E. P. Gerber, 2014: The impact of baroclinic eddy feedback on the persistence of jet variability in the two-layer model. J. Atmos. Sci., 71, 410429, doi:10.1175/JAS-D-13-0102.1.

    • Crossref
    • Search Google Scholar
    • Export Citation
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 341 112 6
PDF Downloads 262 92 6