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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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

References (156) Cited by (112) 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)
K.V. Koshel, S.V. Prants “Chaotic advection in the ocean” Phys. Usp. 49 1151–1178 (2006)
I.M. Beterov, R.I. Sokolovskii “Nonlinear effects in the emission and absorption spectra of gases in resonant optical fields” Sov. Phys. Usp. 16 339–349 (1973)
M.I. Rabinovich “Stochastic self-oscillations and turbulence” Sov. Phys. Usp. 21 443–469 (1978)
V.M. Agranovich, I.I. Lalov “Effects of strong anharmonicity in the spectra of optical phonons and polaritons” Sov. Phys. Usp. 28 484–505 (1985)
A.S. Monin, Yu.A. Shishkov “Climate as a problem of physics” Phys. Usp. 43 381–406 (2000)
M.L. Ter-Mikhaelyan “High energy electromagnetic processes in amorphous and inhomogeneous media” Phys. Usp. 46 1231–1252 (2003)
G.N. Gerasimov “Optical spectra of binary rare-gas mixtures” Phys. Usp. 47 149–168 (2004)
E.G. Maksimov, A.E. Karakozov “On nonadiabatic effects in phonon spectra of metals” Phys. Usp. 51 535–549 (2008)
V.V. Alekseev, A.M. Gusev “Free convection in geophysical processes” Sov. Phys. Usp. 26 906–922 (1983)
I.M. Beterov, P.B. Lerner “Spontaneous and induced emission of a Rydberg atom in a cavity” Sov. Phys. Usp. 32 1084–1110 (1989)
E.L. Lakoza, A.V. Chalyi “Multiple light-scattering near the critical point” Sov. Phys. Usp. 26 573–592 (1983)
S.M. Arakelyan, G.A. Lyakhov, Yu.S. Chilingaryan “Nonlinear optics of liquid crystals” Sov. Phys. Usp. 23 245–268 (1980)
I.B. Levinson, Rashba É I “Threshold phenomena and bound states in the polaron problem” Sov. Phys. Usp. 16 892–912 (1974)
G.V. Dedkov “Nanotribology: experimental facts and theoretical models” Phys. Usp. 43 541–572 (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)
L.A. Bol’shov, P.S. Kondratenko, V.F. Strizhov “Natural convection in heat-generating fluids” Phys. Usp. 44 999–1016 (2001)
V.I. Klyatskin, D. Gurarie “Coherent phenomena in stochastic dynamical systems” Phys. Usp. 42 165 (1999)
O.V. Misochko “Electronic Raman scattering in high-temperature superconductors” Phys. Usp. 46 373–392 (2003)

The list is formed automatically.