Numerical design of transonic cascades

The method developed by Bauer, Garabedian, and Korn (''Supercritical wing Sections,'' Springer-Verlag, Berlin, 1975) for the design of wing sections that exhibit shock-free flow at high subsonic speeds has been applied to the problem of cascade design. A cascade is a periodic distribution of two-dimensional blade cross sections that serves as a basis for the design of axial flow compressors and turbines. Those aspects of the design procedure that are used for both airfoil and cascade design are reviewed briefly in this paper. Emphasis has been placed on the difference between airfoil and cascade design. In particular, the form of the singular solution in the hodograph plane is different in the two cases