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In order to facilitate the aerodynamic design for the computer-aided design (CAD) of centrifugal compressor, a unified direct problem method for the flow calculations along S1 and S2 stream surfaces has been presented in the present paper. A single stream function equation expressed by nonorthogonal curvilinear coordinates and the unified matrix direct solution for the governing equation have been used. This method greatly simplifed the quasi-three dimensional and full dimensional computing program, meanwhile it improved the computing accuracy and the convergence rate. Numerical examples have illustrated the advantages of the new technique for CAD of centrifugal compressors.

A Unified Solution Method for the Flow Calculations Along S1 and S2 Stream Surfaces Used for the Computer-Aided Design of Centrifugal Compressor