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This article is cited in 115 scientific papers (total in 115 papers)
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Quasi-two-dimensional turbulence
S. D. Danilova, D. Gurarieb a A. M. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences
b Department of Mathematics, Applied Mathematics and Statistics, Case Western Reserve University, Cleveland, Ohio
Abstract:
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.
Received: May 22, 2000
Citation:
S. D. Danilov, D. Gurarie, “Quasi-two-dimensional turbulence”, UFN, 170:9 (2000), 921–968; Phys. Usp., 43:9 (2000), 863–900
Linking options:
https://www.mathnet.ru/eng/ufn1792 https://www.mathnet.ru/eng/ufn/v170/i9/p921
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