湍流ESS标度律和层次结构理论普适性研究(黄鑫; 傅强)

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湍流ESS标度律和层次结构理论普适性研究

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【作者】黄鑫; 傅强 【作者单位】解放军理工大学理学院流体力学研究中心

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【论文摘要】 最近一些研究表明,在脑电图、心电图以及图像灰度信号,甚至气温涨落信号和混沌系统信号等一类复杂系统信号中,也存在着 ESS 标度律和层次相似律.前不久,苏卫东等的研究工作却表明,层次结构模型只是 ESS 的一种特殊情况。本研究设计检验各类时间序列信号的 ESS 标度律和层次相似律,并设计了几种速度结构函数的形式,验证了其在湍流信号中 ESS 标度律。由此对湍流扩展自相似性 ESS(Extended Self Similarity)理论和层次结构理论的普适性进行了一些探讨,对深入理解这两种湍流统计理论的物理含义及湍流的物理本质的揭示应该会有一定的帮助。

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5K;R!J\*X"Bfn|9OY0【英文论文摘要】 Recently,some researches express,the electroencephalogram,electrocardiogram and a signal of the picture ashs,even the signal of air temperature rises to fall and mentally dense system signal and so on.at these complicated system signal,also exist the ESS scaling law and the HS scaling law.But lately,Wei Dong Su's research work show that the Hierarchical Structures model is just a kind of special circumstance of ESS.This text design and examines ESS with similar to HS of each kind of time sequence signal,and designed the form of a few speed structure function, verifying its ESS scaling law of turbulence.It Carried on some analysis and studies to the adaptability of ESS(Extended Self Similarity)theories and Hierarchical structure theories.It should have the certain help and propulsions to understand the physics meaning of these two kinds of the Statistics theories of turbulence and the physics of turbulence.

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【论文关键词】 湍流; K41理论; ESS; 层次结构理论; 速度结构函数水利论文 HcCLC:p%\
【英文论文关键词】 turbulence; K41; ESS; Hierarchical Structure; Speed structure function

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TAG: 标度 傅强 黄鑫 ESS 湍流
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