Advertisement

JETP Letters

, Volume 101, Issue 3, pp 164–167 | Cite as

Profile of coherent vortices in two-dimensional turbulence

  • I. V. Kolokolov
  • V. V. Lebedev
Plasma, Hydro- and Gas Dynamics

Abstract

The inverse cascade of two-dimensional turbulence in a restricted domain leads to creating a coherent flow containing a number of system-size vortices. We examine the case of forcing turbulence with zero bottom friction where the final statistically steady state is determined by viscosity. We analytically establish structure of the coherent vortices in the state.

Keywords

Vortex JETP Letter Velocity Fluctuation Vortex Core Vortex Center 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT Press, 1971), Vol. 1; Statistical Fluid Mechanics (Dover, New York, 2007), Vol. 2.Google Scholar
  2. 2.
    A. A. Townsend, The Structure of Turbulent Shear Flow (Cambridge Univ. Press, Cambridge, 1976).zbMATHGoogle Scholar
  3. 3.
    D. Lohse and K.-Q. Xia, Ann. Rev. Fluid Mech. 42, 335 (2010).CrossRefADSGoogle Scholar
  4. 4.
    G. Boffetta and R. E. Ecke, Ann. Rev. Fluid Mech. 44, 427 (2012).CrossRefADSMathSciNetGoogle Scholar
  5. 5.
    R. H. Kraichnan, Phys. Fluids 10, 1417 (1967).CrossRefADSGoogle Scholar
  6. 6.
    C. E. Leith, Phys. Fluids 11, 671 (1968).CrossRefADSGoogle Scholar
  7. 7.
    G. K. Batchelor, Phys. Fluids 12, 233 (1969).CrossRefADSzbMATHGoogle Scholar
  8. 8.
    J. Sommeria, J. Fluid Mech. 170, 139 (1986).CrossRefADSGoogle Scholar
  9. 9.
    M. Chertkov, C. Connaughton, I. Kolokolov, and V. Lebedev, Phys. Rev. Lett. 99, 084501 (2007).CrossRefADSGoogle Scholar
  10. 10.
    H. Xia, M. Shats, and G. Falkovich, Phys. Fluids 21, 125101 (2009).CrossRefADSGoogle Scholar
  11. 11.
    J. Laurie, G. Boffetta, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. Lett. 113, 254503 (2014).CrossRefADSGoogle Scholar
  12. 12.
    H. Kellay and W. I. Goldburg, Rep. Prog. Phys. 65, 845 (2002).CrossRefADSGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2015

Authors and Affiliations

  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia
  2. 2.Moscow Institute of Physics and Technology (State University)Dolgoprudnyi, Moscow regionRussia

Personalised recommendations