Anisotropy in turbulent flows and in turbulent transport

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• 作者：Biferale ; Luca ; Procaccia ; Itamar
• 关键词：Fully developed turbulence ; Anisotropic turbulence ; Turbulent transport ; ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TVP-4G7JXMH-1&_mathId=mml188&_user=10&_cdi=5540&_rdoc=1&_handle=V
• 刊名：Physics Reports
• 出版年：2005
• 出版时间：July, 2005
• 年：2005
• 卷：414
• 期：2-3
• 页码：43-164
• 全文大小：1.47 M

文摘

The problem of anisotropy and its effects on the statistical theory of high Reynolds number (Re) turbulence (and turbulent transport) is intimately related and intermingled with the problem of the universality of the (anomalous) scaling exponents of structure functions. Both problems had seen tremendous progress in the last 5 years. In this review we present a detailed description of the new tools that allow effective data analysis and systematic theoretical studies such as to separate isotropic from anisotropic aspects of turbulent statistical fluctuations. Employing the invariance of the equations of fluid mechanics to all rotations, we show how to decompose the (tensorial) statistical objects in terms of the irreducible representation of the SO(d) symmetry group (with d being the dimension, d