Quasi-two-dimensional turbulence

S.D. Danilov^a, D. Gurarie^b
^aA M Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017, Russian Federation
^bDepartment of Mathematics, Case Western Reserve University, Cleveland, Ohio, USA

We review the results of numerical and experimental studies in quasi-two-dimensional (Q2D) turbulence. We demonstrate that theoretical energy spectra with slopes-5/3 and-3 (Kraichnan-Batchelor-Leith) can be observed only for a special set of external parameters. The bottom drag, beta effect, finite Rossby-Obukhov radius or vertical stratification, which distinguish geophysical Q2D turbulence from its purely 2D counterpart, determine the organization of a Q2D flow on a large scale. Since the spectral energy flux in 2D turbulence is directed upscale, the bottom friction takes on a special role. In the absence of bottom drag the energy condenses on the largest resolvable scale and flow equilibration is not attained.

PACS: 47.27.Ak, 47.27.Eq, 92.10.−c, 92.90.+x (all)
DOI: 10.1070/PU2000v043n09ABEH000782
URL: https://ufn.ru/en/articles/2000/9/a/
Web of Science

000165206800001
Citation: Danilov S D, Gurarie D "Quasi-two-dimensional turbulence" Phys. Usp. 43 863–900 (2000)

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Оригинал: Данилов С Д, Гурарий Д «Квазидвумерная турбулентность» УФН 170 921–968 (2000); DOI: 10.3367/UFNr.0170.200009a.0921

References (156) Cited by (96) Similar articles (20) ↓

F.V. Dolzhanskii, V.A. Krymov, D.Yu. Manin “Stability and vortex structures of quasi-two-dimensional shear flows” Sov. Phys. Usp. 33 (7) 495–520 (1990)
M.V. Nezlin “Rossby solitons (Experimental investigations and laboratory model of natural vortices of the Jovian Great Red Spot type)” Sov. Phys. Usp. 29 807–842 (1986)
M.I. Rabinovich “Stochastic self-oscillations and turbulence” Sov. Phys. Usp. 21 443–469 (1978)
A.S. Monin, Yu.A. Shishkov “Climate as a problem of physics” Phys. Usp. 43 381–406 (2000)
A.B. Medvinskii, S.V. Petrovskii et al “Spatio-temporal pattern formation, fractals, and chaos in conceptual ecological models as applied to coupled plankton-fish dynamics” Phys. Usp. 45 27–57 (2002)
K.V. Koshel, S.V. Prants “Chaotic advection in the ocean” Phys. Usp. 49 1151–1178 (2006)
L.Kh. Ingel, M.V. Kalashnik “Nontrivial features in the hydrodynamics of seawater and other stratified solutions” Phys. Usp. 55 356–381 (2012)
V.V. Alekseev, A.M. Gusev “Free convection in geophysical processes” Sov. Phys. Usp. 26 906–922 (1983)
A.S. Monin “On the nature of turbulence” Sov. Phys. Usp. 21 429–442 (1978)
M.I. Tribel’skii “Short-wavelength instability and transition to chaos in distributed systems with additional symmetry” Phys. Usp. 40 159–180 (1997)
V.I. Klyatskin, D. Gurarie “Coherent phenomena in stochastic dynamical systems” Phys. Usp. 42 165 (1999)
L.A. Ostrovskii, S.A. Rybak, L.Sh. Tsimring “Negative energy waves in hydrodynamics” Sov. Phys. Usp. 29 1040–1052 (1986)
V.F. Kop’ev, S.A. Chernyshev “Vortex ring oscillations, the development of turbulence in vortex rings and generation of sound” Phys. Usp. 43 663–690 (2000)
A.D. Chernin “Cosmic vacuum” Phys. Usp. 44 1099–1118 (2001)
V.G. Plekhanov “Isotopic and disorder effects in large exciton spectroscopy” Phys. Usp. 40 553–579 (1997)
A.M. Bykov, I.N. Toptygin “Particle kinetics in highly turbulent plasmas (renormalization and self-consistent field methods)” Phys. Usp. 36 (11) 1020–1052 (1993)
B.M. Smirnov “Systems of atoms with a short-range interaction” Sov. Phys. Usp. 35 (12) 1052–1079 (1992)
V.E. Zakharov, V.I. Karas’ “Nonequilibrium Kolmogorov-type particle distributions and their applications” Phys. Usp. 56 49–78 (2013)
A.A. Chernyshov, K.V. Karelsky, A.S. Petrosyan “Subgrid-scale modeling for the study of compressible magnetohydrodynamic turbulence in space plasmas” Phys. Usp. 57 421–452 (2014)
S.N. Gurbatov, A.I. Saichev, I.G. Yakushkin “Nonlinear waves and one-dimensional turbulence in nondispersive media” Sov. Phys. Usp. 26 857–876 (1983)

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