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Quasi-two-dimensional turbulence

机译:准二维湍流

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摘要

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.
机译:我们回顾了准二维(Q2D)湍流中数值和实验研究的结果。我们证明,只有对于一组特殊的外部参数,才能观察到具有-5/3和-3(Kraichnan-Batchelor-Leith)斜率的理论能谱。底部阻力,贝塔效应,有限的Rossby-Obukhov半径或垂直分层,将地球物理Q2D湍流与纯2D湍流区分开来,从而在很大程度上决定了Q2D流的组织。由于二维湍流中的光谱能量通量是指向高端的,因此底部摩擦起着特殊的作用。在没有底部阻力的情况下,能量以最大可分辨规模冷凝,并且无法达到流量平衡。

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