As the beginning of CFD (Computational Fluid Dynamics) technology, the streamline curvature method has been used for design and analysis of the whole system of turbines and compressors. On the contrary, in the cascade flow analysis method, used is the inviscid cascade analysis based on potentials or Eulerian equations, which is in a stage of adolescence. The recent three-dimensional viscos flow field analysis including turbulent flow, heat transfer and chemical reaction is in a stage of transfering to maturity. This analysis seems to be a numerical simulation system including flow, heat transfer, chemical reaction and structure strength in the future. In order to construct the design system by the numerical simulation technology, it is necessary for the simulation technology to be improved in stability, accuracy and calculation efficiency, to be established in reliability and to be validated through high-accurate experiments. The paper presents basic problems, application examples, problems to be pointed out and future issues of CFD technology and also refers to periphery related technology indispensable to development of CFD and subjects and prospect for commercialization. 177 refs., 275 figs., 15 tabs.