Renormalization Group Analysis of Weakly Rotating Turbulent Flows

Renormalization Group Analysis of Weakly Rotating Turbulent Flows
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弱旋转湍流的重正化群分析

DOI:
10.1088/0256-307x/28/12/124702
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发表时间:
2011-12
影响因子:
3.5
通讯作者:
Wang Xiao-Hong
Wang Xiao-Hong
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Zhou Quan;Wang Xiao-Hong

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用动力学重整化群(RNG)方法研究了弱旋转湍流的红外极限行为。对于弱旋转的湍流,重整化传播中的各向异性部分被认为是各向同性部分的扰动。然后,在低阶近似下,进行RNG变换的粗化过程。在实施粗化和重标度过程之后,RNG分析表明,对于弱旋转湍流,球平均能谱具有标度行为E(k)k−11/5。研究还表明,科里奥利力会干扰Kolmogorov −5/3能谱的稳定性,即使在弱旋转的情况下也会改变标度行为。
Dynamic renormalization group (RNG) analysis is applied to the investigation of the behavior of the infrared limits of weakly rotating turbulence. For turbulent flow subject to weak rotation, the anisotropic part in the renormalized propagation is considered to be a perturbation of the isotropic part. Then, with a low-order approximation, the coarsening procedure of RNG transformation is performed. After implementing the coarsening and rescaling procedures, the RNG analysis suggests that the spherically averaged energy spectrum has the scaling behavior E(k) ∝ k−11/5 for weakly rotating turbulence. It is also shown that the Coriolis force will disturb the stability of the Kolmogorov −5/3 energy spectrum and will change the scaling behavior even in the case of weak rotation.
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