Modeling an equilibrium atmospheric boundary layer (ABL) in an empty computational domain has routinely been performed with the k-${varepsilon}$ turbulence model. However, the research objects of structural wind engineering are bluff bodies, and the SST k-${omega}$ turbulence model is more widely used in the numerical simulation of flow around bluff bodies than the k-${varepsilon}$ turbulence model. Therefore, to simulate an equilibrium ABL based on the SST k-${omega}$ turbulence model, the inlet profiles of the mean wind speed U, turbulence kinetic energy k, and specific dissipation rate ${omega}$ are proposed, and the source terms for the U, k and ${omega}$ are derived by satisfying their corresponding transport equations. Based on the proposed inlet profiles, numerical comparative studies with and without considering the source terms are carried out in an empty computational domain, and an actual numerical simulation with a trapezoidal hill is further conducted. It shows that when the source terms are considered, the profiles of U, k and ${omega}$ are all maintained well along the empty computational domain and the accuracy of the actual numerical simulation is greatly improved. The present study could provide a new methodology for modeling the equilibrium ABL problem and for further CFD simulations with practical value.