Abstract
Two-dimensional turbulence has the striking tendency to self-organize into large-scale, coherent structures due to the inverse energy cascade. Here, we theoretically examine the case of a static pumping where the exciting force is independent of time; the case corresponds to the usual experimental setup. We establish dependence of the large-scale flow on the system parameters and the pumping characteristics for an unbound system and for a finite box.
Similar content being viewed by others
References
R. H. Kraichnan, Phys. Fluids 10, 1417 (1967).
C. E. Leith, Phys. Fluids 11, 671 (1968).
G. K. Batchelor, Phys. Fluids 12, 233 (1969).
M. Chertkov, C. Connaughton, I. Kolokolov, and V. Lebedev, Phys. Rev. Lett. 99, 084501 (2007).
H. Xia, M. Shats, and G. Falkovich, Phys. Fluids 21, 125101 (2009).
J. Laurie, G. Boffetta, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. Lett. 113, 254593 (2014).
P. Tabeling, Phys. Rep. 362, 1 (2002).
A. E. Gledzer, E. B. Gledzer, A. A. Khapaev, and O. G. Chkhetiani, J. Exp. Theor. Phys. 113, 516 (2011).
A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, MA, 1971; Dover, New York, 2007).
G. Boffetta and R. E. Ecke, Ann. Rev. Fluid Mech. 44, 427 (2012).
R. H. Kraichnan and D. Montgomery, Rep. Prog. Phys. 43, 547 (1980).
J. Sommeria, J. Fluid Mech. 170, 139 (1986).
L. M. Smith and V. Yakhot, Phys. Rev. Lett. 71, 352 (1993).
L. M. Smith and V. Yakhot, J. Fluid Mech. 274, 115 (1994).
V. Borue, Phys. Rev. Lett. 72, 1475 (1994).
G. Boffetta, A. Celani, and M. Vergassola, Phys. Rev. E 61, R29 (2000).
G. Falkovich, J. Phys. A: Math. Theor. 42, 123001 (2009).
N. Francois, Y. Xia, H. Punzmann, S. Ramsden, and M. Shats, Phys. Rev. X 4, 021021 (2014).
A. Frishman, J. Laurie, and G. Falkovich, Phys. Rev. Fluids 2, 032602 (2017).
I. V. Kolokolov and V. V. Lebedev, JETP Lett. 101, 164 (2015).
I. V. Kolokolov and V. V. Lebedev, Phys. Rev. E 93, 033104 (2016).
I. V. Kolokolov and V. V. Lebedev, J. Fluid Mech. 809, R2–1 (2016).
E. Infeld and G. Rowlands, Nonlinear Waves, Solitons and Chaos (Cambridge Univ. Press, Cambridge, 2000), Chap. 11.
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Russian in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 106, No. 10, pp. 633–636.
The article is published in the original.
Rights and permissions
About this article
Cite this article
Kolokolov, I.V., Lebedev, V.V. Large-scale flow in two-dimensional turbulence at static pumping. Jetp Lett. 106, 659–661 (2017). https://doi.org/10.1134/S0021364017220027
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364017220027