Numerical analysis for transonic cascade flows using the AF2 scheme.

Abstract

An approximate factorization scheme has been developed for analyzing transonic cascade flows. In this scheme, upwind differencing is used for introducing artificial viscosity in the supersonic region, and central differencing in the subsonic region. The resulting simple two- and three-banded matrices are solved by the relaxation procedure. In this paper, the efficiency of this scheme is demonstrated by solving the channel flow problem, and then this scheme is applied to some transonic cascade flows. The results are in good agreement with those obtained by other methods.