A method of predicting the properties of various turbulent flows in planar, conical, and annular diffusers with inlet swirl and inlet distortion effects has been developed and appraised. The numerical scheme is based on the fully conservative control volume representation of governing conservation equations. The method is capable of carrying out the calculation when the flowfield contains stalled or recirculation flow regions. Three different discretization schemes are compared to analyze the numerical diffusion. An algebraic Reynolds stress model is used to represent the large streamline curvature. The appraisal is achieved by comparing predicted results with various experimental data. The results show that the numerical scheme with the utilized turbulence closure model predicts various diffuser flows with the effects of inlet swirl and inlet distortion within measurement accuracy and is able to provide various guiding information for many engineering applications.