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Computational Fluid Dynamics (CFD) simulations of the horizontally homogeneous atmospheric boundary layer (ABL) flow are essential for wide applications of computational wind engineering atmospheric studies, especially for flow around large-span structures and cluster of high-rise buildings. The standard k-epsiv model is adopted to computationally model the horizontally homogeneous ABL by setting appropriate profiles of mean wind velocity and turbulence quantities at inlet, modifying the standard wall function applied to wall boundary at the ground of the empty fetch. This paper shows the CFD simulation results by comparison of the flow quantities profiles with several different locations in the flow domain. The mean wind velocity, turbulence quantities give well agreement at different positions. Also the problems still unsolved and suggestions to mitigate that are discussed.