Guo‐Jun Xin

The interaction between the different scale eddies of the turbulence

Abstract The turbulence is composed from a large number of eddies of different scales. In the inertial range, the “ 2 3 power-law” for velocity structure function and the “ -5 3 power-law” for energy spectrum were derived by Kolmogorov and were convinced as universal roughly. In this paper, the turbulence which obeys the power-law of the autocorrelation function will be taken as a matter of the different scale Brownian motions which obeys the exponent-law of the autocorrelation function and the local self-similarity for different scales. By which we demonstrated that the turbulent exchange coefficient of different scale hierarchy changes quantitatively with its scale size and atmospheric stratification stability.

Spectral characteristics of atmospheric turbulence model

Abstract In this paper, KdV-Burgers equation can be regarded as the normal equation of atmospheric turbulence in the stable boundary layer. On the basis of the travelling wave analytic solution of KdV-Burgers equation, the turbulent spectrum is obtained. We observe that the behavior of the spectra is consistent with actual turbulent spectra of stable atmospheric boundary layer.