Turbulence标度律的Kubo组合
Kubo Combinatorics for Turbulence Scaling Laws
摘要：
我们提出了一个扩展Kolmogorov的完善的相似性假设的普遍充分发展的湍流。扩展在Z中应用。她和E。惯性距离标度的莱维克多重分形模型及其推广。我们的修改纠正了一个明显的差距之间的隐式连续的长度尺度在Obukhov的湍流能量级联的概念，和来自Kolmogorov的精致的相似性假设，缺乏无限可分性的标度律模型。的发展具有普遍的充分发展的湍流，一个国家，我们明确描述的速度波动和平均能量耗散在所有订单之间的耦合。这种描述是独特的，并导致重新参数化的She-Leveque模型，保留其原始的预测，是无限可分的。
英文摘要：
We present an extension to Kolmogorov's refined similarity hypothesis for universal fully developed turbulence. The extension is applied within Z. She and E. Leveque's multifractal model of inertial range scaling and its generalizations. Our modification rectifies an apparent gap between the implicit continuum of length scales in Obukhov's conception of a turbulent energy cascade, and scaling law models derived from Kolmogorov's refined similarity hypothesis that lack infinite divisibility. The development has relevance to universal fully developed turbulence, a state we describe explicitly in terms of the coupling between velocity fluctuations and averaged energy dissipation at all orders. This description is unique and leads to a reparametrization of the She-Leveque model that preserves its original forecasts and is infinitely divisible.
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