Structure and Stability of Low Amplitude Jet Equilibria in Barotropic Turbulence

  • N. C. Constantinou
  • P. J. Ioannou
  • N. A. Bakas
Conference paper
Part of the Springer Atmospheric Sciences book series (SPRINGERATMO)


Planetary turbulent flows are observed to self-organize into large scale structures such as zonal jets and coherent vortices. Recently, it was shown that a comprehensive understanding of the properties of these large scale structures and of the dynamics underlying their emergence and maintenance is gained through the study of the dynamics of the statistical state of the flow. Previous studies addressed the emergence of the coherent structures in barotropic turbulence and showed the zonal jets emerge as an instability of the Statistical State Dynamics (SSD). In this work, the equilibration of the incipient instabilities and the stability of the equilibrated jets near onset is investigated. It is shown through a weakly nonlinear analysis of the SSD that the amplitude of the jet evolves according to a Ginzburg-Landau equation. The equilibrated jets were found to have a harmonic structure and an amplitude that is an increasing function of the planetary vorticity gradient. It is also shown that most of the equilibrated jets are unstable and will evolve through jet merging and branching to the stable jets that have a scale close to the most unstable emerging jet.


Coherent Structure Coherent Wave Homogeneous Equilibrium Flow Perturbation Eddy Field 
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N. Bakas is supported by the AXA Research Fund and N. Constantinou is partially supported by the NOAA Climate and Global Change Postdoctoral Fellowship Program, administered by UCAR’s Visiting Scientist Programs.


  1. Bakas NA, Ioannou PJ (2013) Emergence of large scale structure in barotropic beta-plane turbulence. Phys Rev Lett 110:224501CrossRefGoogle Scholar
  2. Constantinou NC, Ioannou PJ and Bakas NA (2016) Statistical dynamics of weak jets in barotropic turbulence. J Atmos Sci (submitted)Google Scholar
  3. Farrell BF, Ioannou PJ (2003) Structural stability of turbulent jets. J Atmos Sci 60:2101–2118CrossRefGoogle Scholar
  4. Farrell BF, Ioannou PJ (2007) Structure and spacing of jets in barotropic turbulence. J Atmos Sci 64:3652–3665CrossRefGoogle Scholar
  5. Galperin BH, Sukoriansky S, Dikovskaya N (2010) Geophysical flows with anisotropic turbulence and dispersive waves: flows with a β-effect. Ocean Dyn 60:427–441CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  • N. C. Constantinou
    • 1
  • P. J. Ioannou
    • 2
  • N. A. Bakas
    • 3
  1. 1.Scripps Institution of OceanographyUniversity of CaliforniaSan DiegoUSA
  2. 2.Department of PhysicsNational and Kapodistrian University of AthensAthensGreece
  3. 3.Laboratory of Meteorology, Department of PhysicsUniversity of IoanninaIoanninaGreece

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