On the Calculation of Two-Dimensional Subsonic and Shock-Free Transonic Flow

Abstract

Application of the potential theory to the full equations of two-dimensional compressible flow has yielded a method of calculation valid for isolated airfoils as well as for cascades situated on an arbitrary surface of revolution. Various computed subcritical and supercritical flows are presented and compared with exact solutions. Close relation between convergence interval and the existence of discontinuities in the solution was established, which makes it possible to recognize and develop transonic flow patterns having no or only weak shocks.