The Method of Murman and Cole

Abstract

At the end of the sixties, transonic flows solutions were attempted with the computer resources of the time, in order to help better understand and design transport aircraft in a regime where shock waves are present and have a major influence on the global performance in cruise. Most work was based on the solution of the unsteady Euler equations using some of the classical schemes introduced in Chap. 5, but the convergence was painstakingly slow. J.D. Cole and E.M. Murman met, while on stay at Boeing, and decided to look for an alternative approach to the problem, in which the steady-state equation is tackled directly. They chose as a model the transonic small disturbance equation (TSD), a familiar equation for J.D. Cole in his study of transonic similarity (Reference [4]).