Abstract: On the basis of analysing the 2 D simplified extended stability model of circumferential grooved casing treatment,a new rapid practical method for engineering design and analysis is developed.An exact and time-saving program without repeat process is written for calculating the cascade flowfield on the arbitrary rotary surface.In the program the boundary element method is used to determine the initial flowfield for analysing the model.The effects of structural and performance parameters of circumferential grooved casing treatment on the stability of the compressor are discussed.This method features definiteness of physical meaning and ease in practical application.The new method and technique are provided to design and analyze the circumferential grooved casing treatment equipment.