Abstract
Numerical calculations of climate change and weather forecast has been widely carried out, and Monin-Obukhov length based vertical distribution of wind velocity (Log+Linear law) is used in the calculations typically. However, it is not suitable for the numerical calculations because the stability scale of Monin-Obukhov is an algebraic expression. Also, it is very difficult to give a physical interpretation that the scale of the mixing length is negative when the atmosphere is instable. In addition, the scale on the vertical direction of the mixed layer should be set a priori when the atmosphere is instable. In order to solve these problems, a new differential equation of physically rigorous mixing length with considering atmospheric stability has been proposed in this study. The precision of wind velocity distribution in the vertical direction was confirmed by both observed data and Monin-Obukhov length bese Log+Linear law in the study. The proposed stability length can be used more conveniently than existing Monin-Obukhov length based mixing length to deal with the boundary layer in atmospheric calculations such as GCM or weather models.
