The Theoretical Model of Atmospheric Turbulence Spectrum in Surface Layer

Liu Shida; Liu Shikuo; Xin Guojun; Liang Fuming

doi:10.1007/BF02658160

Impact Factor: 3.9

Volume 11 Issue 4

Oct. 1994

Article Contents

Article > ADVANCES IN ATMOSPHERIC SCIENCES > 1994 > 11(4): 408-414

The Theoretical Model of Atmospheric Turbulence Spectrum in Surface Layer

1.
Department of Geophysics, Peking University, Beijing 100871,Department of Geophysics, Peking University, Beijing 100871,Department of Geophysics, Peking University, Beijing 100871,Department of Geophysics, Peking University, Beijing 100871

doi: 10.1007/BF02658160

Abstract
References
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Abstract:
It is shown that the slope of energy spectrum obtained from the velocity solution of Kdv-Burgers equation lies between -5/3 and -2 in the dilogarithmic coordinates paper. The spectrum is very close to one of Kolmogorov’s isotropic turbulence and Frisch’s intermittent turbulence in inertial region. In this paper, the Kdv-Burgers equation to describe atmospheric boundary layer turbulence is obtained. In the equation, the 1 / Re, corresponds to dissipative coefficient v, to dispersive coefficient β, then (v/ 2β)2 corresponds to .We prove that the wave number corresponding to maximum energy spectrum decreases with the decrease of stability (i.e., the increase of in eddy-containing region. And the spectrim amplitude decreases with the increase of (i.e., the decrease of stability). These results are consistent with actual turbulence spectrum of atmospheric surface layer from turbulence data.
- Atmospheric turbulence,
- Energy spectrum
References

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Manuscript History

Manuscript received: 10 October 1994

Manuscript revised: 10 October 1994

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

The Theoretical Model of Atmospheric Turbulence Spectrum in Surface Layer

1. Department of Geophysics, Peking University, Beijing 100871,Department of Geophysics, Peking University, Beijing 100871,Department of Geophysics, Peking University, Beijing 100871,Department of Geophysics, Peking University, Beijing 100871

Manuscript received: 1994-10-10
Manuscript revised: 1994-10-10

Abstract: It is shown that the slope of energy spectrum obtained from the velocity solution of Kdv-Burgers equation lies between -5/3 and -2 in the dilogarithmic coordinates paper. The spectrum is very close to one of Kolmogorov’s isotropic turbulence and Frisch’s intermittent turbulence in inertial region. In this paper, the Kdv-Burgers equation to describe atmospheric boundary layer turbulence is obtained. In the equation, the 1 / Re, corresponds to dissipative coefficient v, to dispersive coefficient β, then (v/ 2β)2 corresponds to .We prove that the wave number corresponding to maximum energy spectrum decreases with the decrease of stability (i.e., the increase of in eddy-containing region. And the spectrim amplitude decreases with the increase of (i.e., the decrease of stability). These results are consistent with actual turbulence spectrum of atmospheric surface layer from turbulence data.

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