湍流不同尺度间的相互作用

The Interaction between Different Turbulent Scale

湍流是由各种不同尺度的涡旋构成的。从整体上讲，存在Ｋｏｌｍｏｇｏｒｏｖ导得的惯性区结构函数的２／３次方定律和能谱的－５／３次方定律。这种幂律相关的湍流是由每种尺度上指数相关的局部相似的Ｂｒｏｗｎ运动所构成，从而从理论上解释了不同尺度之间的相互作用以及湍流系数Ｋ随尺度变化的规律，初步论证了大气不同层结下湍流系数的差别。结果对研究大气、海洋不同尺度间的相互作用有重要意义。

The turbulence consists of many different scale vortexes Generally, there are the Kolmogorov's two-thirds law of second order structure function and the K -5/3 law of energy spectrum in the inertial range It is shown that the autocorrelation power function of global turbulence is composed of all local exponent autocorrelation of different scale Brown motion The interaction between different scale and the variance of turbulent coefficient with scale are explained It also shows the difference of the turbulent coefficient for different atmospheric stratification