Abstract: The boundary layer theory proposed by L. Prandtl in 1904 has played a tremendously important role for aeronautical and aerospace engineering during the last 100 years or so. Nowadays it has found wide applications both in industry and geophysical flows. The present paper mainly address to the turbulence in Atmospheric boundary layer (ABL) or its surface layer, which is closely related to climate and ecological environment prediction. We have reviewed on its principal numerical approaches: Reynolds average N...