On the use of the Kolmogorov-Landau approach in deriving various correlation functions in two-dimensional incompressible turbulence
On the use of the Kolmogorov-Landau approach in deriving various correlation functions in two-dimensional incompressible turbulence
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关于使用 Kolmogorov-Landau 方法推导二维不可压缩湍流中的各种相关函数
DOI：
10.1063/1.2760282
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发表时间：
2006
影响因子：
4.6
通讯作者：
S. Chakraborty
中科院分区：
文献类型：
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作者：
S. Chakraborty
我们看看各种相关函数，其中包括那些涉及速度和涡度场，在二维（2D）各向同性均匀衰减湍流。我们采用了更直观的方法，由于Kolmogorov（和随后的朗道在他的文字流体动力学），并显示如何二维湍流的结果，可使用其他方法，可以建立在一个更简单的方式。此外，一些实验验证的相关函数的耗散范围内已经推导出相同的系统。本文还说明了Kolmogorov-Landau方法在涡度拟能级联区不能得到“八分之一定律”。正如本文所讨论的，这可能会在二维湍流中再次提高对数修正的频谱。
We look at various correlation functions, which include those that involve both the velocity and the vorticity fields, in two-dimensional (2D) isotropic homogeneous decaying turbulence. We adopt the more intuitive approach due to Kolmogorov (and subsequently Landau in his text on fluid dynamics) and show that how the 2D turbulence results, obtainable using other methods, may be established in a simpler way. Also, some experimentally verifiable correlation functions in the dissipation range have been derived for the same system. The paper also showcases the inability of the Kolmogorov-Landau approach to get the “one-eighth law” in the enstrophy cascade region. As discussed in the paper, this may raise the spectre of logarithmic corrections once again in 2D turbulence.