| The Theoretical Model of Atmospheric Turbulence Spectrum in Surface Layer |
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| 作者姓名： | Liu Shi Liu Shikuo Xin Guojun Liang Fuming |
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| 作者单位： | 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 |
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| 基金项目： | This project is supported by the National Natural Science Foundation of China and also by the LAPC. |
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| 摘 要： | 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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| 收稿时间： | 24 May 1994 |
The theoretical model of atmospheric turbulence spectrum in surface layer |
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| Liu Shi,Liu Shikuo,Xin Guojun,Liang Fuming.The Theoretical Model of Atmospheric Turbulence Spectrum in Surface Layer[J].Advances in Atmospheric Sciences,1994,11(4):408-414. |
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| Authors: | Liu Shida Liu Shikuo Xin Guojun Liang Fuming |
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| Institution: | 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 |
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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 /R
e
corresponds to dissipative coefficientv,R
/2
t
to dispersive coefficientβ, then (v/2β)2 corresponds to 1/ R
2
e • Ri. We prove that the wave number corresponding to maximum energy spectrumS(k) decreases with the decrease of stability (i.e., the increase of (v / 2β)2 in eddy—containing region. And the spectrim amplitude decreases with the increase of (v / 2β)2 (i.e., the decrease of stability). These results are consistent with actual turbulence spectrum of atmospheric surface layer
from turbulence data.
This project is supported by the National Natural Science Foundation of China and also by the LAPC. |
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| Keywords: | Atmospheric turbulence Energy spectrum |
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