A stable and cost-efficient finite element formulation, the high-speed GSMAC-FEM (generalized simplified marker and cell finite-element method), for unsteady incompressible viscous flow analysis is developed. In this paper, the high-speed GSMAC-FEM with the differential stress turbulence model, which includes curve effect in Rotta's term as a pressure-strain correlation, is validated by computing the channel flow and the flow over a backward-facing step. After that, the superiority of the differential stress model to the k - ϵ turbulence model for the prediction of the pressure distributions on a building in a turbulent stream is demonstrated.