Modification of Bougeault—Andre mixing length hypothesis and its numerical verification

This paper represents an attempt to improve the parameterization scheme, proposed by Bougeault and Andre. Modification deals with non-local feature of the turbulent mixing and proposes some kernel convolution form for the turbulent mixing length. This kernel is an influence function of the turbulence located at one point to the turbulence at some other point. The set of numerical experiments shows the advantage of proposed modification for high vertical resolution or for vanishing background turbulent coefficient.