The influence of weakly–nonlinear vertical advection on the wind field of PBL with large–scale orography

The analytical solutions of the PBL wind distribution under the equilibrium of four forces including both horizontal and vertical advections are obtained in this paper using small parameter method. Utilizing this simple PBL model, we also compute the wind spirals of a certain circular vortex over level ground and over a west-east ranged mountain, respectively. The results show that when there exsits large-scale orographic forcing, vertical advection may exert considerable influence on the wind distribution of PEL, the angle between geostrophic flow and surface wind, and the height of the top of PBL