The theoretical model of atmospheric turbulence spectrum in surface layer

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.