Vortex scaling ranges in two-dimensional turbulence
Vortex scaling ranges in two-dimensional turbulence
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DOI：
10.1063/1.4993144
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发表时间：
2017-07
影响因子：
4.6
通讯作者：
B. H. Burgess;D. Dritschel;R. K. Scott
中科院分区：
文献类型：
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作者：
B. H. Burgess;D. Dritschel;R. K. Scott
本文综述了相干涡旋在二维湍流中的作用，包括形成机制、对经典相似理论和惯性范围理论的影响以及涡团的特征。我们回顾了关于自由演化湍流中涡旋的时空标度特性的早期工作和最近的发展，包括关于强迫逆能量叶栅中涡旋的时空标度理论。我们强调，Kraichnan-Batchelor相似理论和涡旋尺度理论最好被看作是互补的，并且共同提供了对二维湍流的更完整的描述。特别值得一提的是，相似理论在描述涡旋之间微弱的丝状海方面具有持续的作用。此外，我们将经典的惯性和涡旋标度范围都定位在远离平衡系统的标度的更广泛的框架内，这些系统通常表现出具有不同标度行为的多个不动点解。我们描述了空间站如何..。
We survey the role of coherent vortices in two-dimensional turbulence, including formation mechanisms, implications for classical similarity and inertial range theories, and characteristics of the vortex populations. We review early work on the spatial and temporal scaling properties of vortices in freely evolving turbulence and more recent developments, including a spatiotemporal scaling theory for vortices in the forced inverse energy cascade. We emphasize that Kraichnan-Batchelor similarity theories and vortex scaling theories are best viewed as complementary and together provide a more complete description of two-dimensional turbulence. In particular, similarity theory has a continued role in describing the weak filamentary sea between the vortices. Moreover, we locate both classical inertial and vortex scaling ranges within the broader framework of scaling in far-from-equilibrium systems, which generically exhibit multiple fixed point solutions with distinct scaling behaviour. We describe how station...