Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Structure of coherent vortices generated by the inverse cascade of two-dimensional turbulence in a finite box

I. V. Kolokolov and V. V. Lebedev

  • Landau Institute for Theoretical Physics, RAS, 142432, Chernogolovka, Moscow region, Russia

Phys. Rev. E 93, 033104 – Published 7 March, 2016

DOI: https://doi.org/10.1103/PhysRevE.93.033104

Abstract

We discuss the structure and geometrical characteristics of coherent vortices appearing as a result of the inverse cascade in two-dimensional turbulence in a finite box. We demonstrate that the universal velocity profile, established by J. Laurie et al. [Phys. Rev. Lett. 113, 254503 (2014)], corresponds to the passive regime of flow fluctuations. We find the vortex core radius and the vortex size, and we argue that the amount of vortices generated in the box depends on the system parameters.

Physics Subject Headings (PhySH)

Article Text

References (22)

  1. A. A. Townsend, The Structure of Turbulent Shear Flow (Cambridge University Press, Cambridge, 1976).
  2. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, 1995).
  3. G. Boffetta and R. E. Ecke, Annu. Rev. Fluid Mech. 44, 427 (2012).
  4. K. Avila et al., Science 333, 192 (2011).
  5. M. H. Buschmann and V. Gad-El-Hak, AIAA J. 41, 40 (2003).
  6. R. H. Kraichnan, Phys. Fluids 10, 1417 (1967).
  7. C. E. Leith, Phys. Fluids 11, 671 (1968).
  8. G. K. Batchelor, Phys. Fluids 12, 233 (1969).
  9. J. Sommeria, J. Fluid Mech. 170, 139 (1986).
  10. L. M. Smith and V. Yakhot, Phys. Rev. Lett. 71, 352 (1993).
  11. L. M. Smith and V. Yakhot, J. Fluid Mech. 274, 115 (1994).
  12. V. Borue, Phys. Rev. Lett. 72, 1475 (1994).
  13. M. Chertkov, C. Connaughton, I. Kolokolov, and V. Lebedev, Phys. Rev. Lett. 99, 084501 (2007).
  14. H. Xia, M. Shats, and G. Falkovich, Phys. Fluids 21, 125101 (2009).
  15. J. Laurie, G. Boffetta, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. Lett. 113, 254503 (2014).
  16. A. S. Monin and A. M. Yaglom, in Statistical Fluid Mechanics, Vol. 1: Mechanics of Turbulence, edited by J. L. Limley (Dover, Mineola, NY, 1971), Chap. 3.
  17. R. H. Kraichnan, J. Fluid Mech. 47, 525 (1971); 67, 155 (1975).
  18. G. Falkovich and V. Lebedev, Phys. Rev. E 49, R1800(R) (1994); 50, 3883 (1994).
  19. G. Falkovich and V. Lebedev, Phys. Rev. E 83, 045301(R) (2011).
  20. I. V. Kolokolov and V. V. Lebedev, Pis'ma Zh. Eksp. Teor. Fiz. 101, 181 (2015) [JETP Lett. 101, 164 (2015)].
  21. A. von Kameke, F. Huhn, G. Fernández-García, A. P. Muñuzuri, and V. Pérez-Muñuzuri, Phys. Rev. Lett. 107, 074502 (2011).
  22. N. Francois, H. Xia, H. Punzmann, S. Ramsden, and M. Shats, Phys. Rev. X 4, 021021 (2014).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation