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The third-order structure function in two dimensions: The Rashomon effect
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DOI：10.1063/1.5003399.png)
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摘要
En 中文
We study the third-order longitudinal structure function, S-3(r), in two-dimensional turbulence. In three dimensions, there is considerable theoretical, experimental, and numerical consensus regarding the validity of Kolmogorov's arch-famous 4/5 th law for S-3(r). By contrast, in two dimensions, two disparate cascades, changed dissipation anomalies, a large-scale drag, and other factors conspire to create several versions of the S-3(r) law. This single quantity can vary considerably when viewed from different perspectives, reminiscent of the Rashomon effect in anthropology. After reviewing the history and usage of S-3(r) in two-dimensional turbulence, we show that S-3(r) generically embodies a mixture of energy and enstrophy fluxes. Building on this result, we derive S-3(r) laws for freely decaying and forced two-dimensional turbulent flows, where we also account for the effects of a large-scale drag, an inextricable feature of quasi two-dimensional turbulence in experimental and atmospheric flows. We draw attention to the caution needed in interpreting S-3(r) in two-dimensional turbulence. (C) 2017 Author(s).
Keyword:
VELOCITY STRUCTURE FUNCTIONS
KINETIC-ENERGY SPECTRUM
2-DIMENSIONAL TURBULENCE
UPPER TROPOSPHERE
INVERSE CASCADE
DISSIPATION
DIFFUSION
DYNAMICS
FLUID
RANGE
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期刊
IF:
4.3
论文数:
2.9W
被引数:
8.0W
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On the use of the Kolmogorov-Landau approach in deriving various correlation functions in two-dimensional incompressible turbulence.png)
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