Abstract
In this study, a formula for the maximum turbulence length scale πτ― τ―τ―« is first proposed to reproduce the neutrally stratified atmospheric boundary layer over different terrain types considering the effects of Coriolis force. The effects of Coriolis force on turbulent flows over 3-D hills with different slopes and height ratios (hill height / atmospheric boundary layer height) are subsequently clarified in terms of flow patterns and turbulent statistics. The results show that the vertical distributions of mean velocity on the windward side of 3-D hills are slightly affected by the Coriolis force regardless of hill slopes and height ratios. However, it is found that the Coriolis force has a positive influence on the wake recovery of 3-D steep hills with large height ratios and its influence enhances as the hill slope and the height ratio increase. Moreover, the fractional speed-up ratio at the crest of 3-D hills is significantly increased as the hill slope and the height ratio increase.