The final objective of this study is to find a turbulence model suitable for high-Reynolds-number flow with large separation, which is based on the compressible Navier-Stoke's equation. As the first step in achieving this purpose, Jameson's artificial dissipation, Baldwin-Lomax's zero-equation turbulence model, and Myong-Kasagi's and Chien's K-ε turbulence models were investigated in this paper. The flows in a suddenly expanding pipe were chosen as the test problem. It is demonstrated that Chien's K-ε model is the best one in terms of accuracy and grid independence of the reattachment distance, and in terms of stability of computation.