An examination of reproducibility of Leipzig Wind Profile by means of (k-ε) turbulence model

The Leipzig Wind Profile is generally known as a typical neutral planetary boundary layer flow. But it is not completely neutral hut weakly stable, we examined whether we could simulate the Leipzig Wind Profile using a non-isentropic (k-epsilon) turbulence model or not. By solving analytically the Second Moment Closure Model under the assumption of local equilibrium and under the condition of a stratified flow, we expressed the turbulent diffusion coefficients (both momentum and thermal) as functions of flux Richardson number. The result by our (k-epsilon) turbulence model including the equation of potential temperature accorded with the Leipzig Wind Profile.