Advances in wave turbulence: rapidly rotating flows
Advances in wave turbulence: rapidly rotating flows
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DOI：
10.1088/1367-2630/6/1/073
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发表时间：
2004-07
影响因子：
3.3
通讯作者：
C. Cambon;Robert Rubinstein;F. Godeferd
中科院分区：
文献类型：
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作者：
C. Cambon;Robert Rubinstein;F. Godeferd
在渐近高旋转速率下，旋转湍流可以用弱波湍流的一般理论描述为相互作用的色散波场。然而，旋转湍流有一些复杂的功能，包括各向异性的波色散关系和消失的波频率上的一组非零的“慢”模式。这些特征阻止了现有理论的直接应用，并导致了一些有趣的性质，包括能量向慢模式的转移。这种转移与标准湍流理论中设想的小尺度转移竞争，甚至可能取代。本文基于弱湍流理论提出了旋转湍流的各向异性谱，并通过对波动湍流方程的数值计算，给出了各向异性谱存在的一些证据。以前的论点的基础上的谐振波相互作用的性质表明，慢模式从其他解耦。在这里，提出了一个扩展的波湍流理论与非共振相互作用，其中所有的模式耦合，这些相互作用是可能的，因为色散关系的各向异性。最后，慢模式上波频率的消失意味着这些模式不能用弱湍流理论描述。一个更全面的方法来旋转湍流提出了克服这一限制。
At asymptotically high rotation rates, rotating turbulence can be described as a field of interacting dispersive waves by the general theory of weak wave turbulence. However, rotating turbulence has some complicating features, including the anisotropy of the wave dispersion relation and the vanishing of the wave frequency on a non-vanishing set of ‘slow’ modes. These features prevent straightforward application of existing theories and lead to some interesting properties, including the transfer of energy towards the slow modes. This transfer competes with, and might even replace, the transfer to small scales envisioned in standard turbulence theories. In this paper, anisotropic spectra for rotating turbulence are proposed based on weak turbulence theory; some evidence for their existence is given based on numerical calculations of the wave turbulence equations. Previous arguments based on the properties of resonant wave interactions suggest that the slow modes decouple from the others. Here, an extended wave turbulence theory with non-resonant interactions is proposed in which all modes are coupled; these interactions are possible only because of the anisotropy of the dispersion relation. Finally, the vanishing of the wave frequency on the slow modes implies that these modes cannot be described by weak turbulence theory. A more comprehensive approach to rotating turbulence is proposed to overcome this limitation.