Abstract: In this paper, the improved finite analytic method has been proposed for calculating the fluid flow with the large separation region at the high Reno-Ids number. By this algorism, the complex operations caused by exponential functions and series sum can be removed and a lot of the computational time can be saved. The Renolds number of the flow which can be resolved with this method is about twenty times as much as that of the flow with the or iginal one on the same computational grids. Numerical experiments show that reults obtained with both methods at the same boudary conditions and the same Renolds number are extremely similar and the solutions of the flow at the high Renolds number are satisfactorily.

Key words: Finite Analytic Method, High Renolds Number, Separation Flow