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Quasi-two-dimensional turbulence

 a,  b
a A M Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017, Russian Federation
b Department 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.

Fulltext pdf (1.3 MB)
Fulltext is also available at DOI: 10.1070/PU2000v043n09ABEH000782
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/
000165206800001
Citation: Danilov S D, Gurarie D "Quasi-two-dimensional turbulence" Phys. Usp. 43 863–900 (2000)
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Îðèãèíàë: Äàíèëîâ Ñ Ä, Ãóðàðèé Ä «Êâàçèäâóìåðíàÿ òóðáóëåíòíîñòü» ÓÔÍ 170 921–968 (2000); DOI: 10.3367/UFNr.0170.200009a.0921

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