The purpose of this book is to survey computational flow research on the
design and analysis of supercritical wing sections supported by the
National Aeronautics and Space Administration at the Energy Research and
Development Administration Mathematics and Computing Laboratory of New
York University. The work was performed under NASA Grants NGR 33-016-167
and NGR 33-016-201 and ERDA Contract EY-76-C-02-3077. Computer programs
to be listed and described have applications in the study of flight of
modern aircraft at high sub- sonic speeds. One of the codes generates
cascades of shockless tran- sonic airfoi s that are expected to increase
significantly the effici- ency of compressors and turbines. Good
simulation of physically observed flows has been achieved. This work is
a sequel to two earlier books [1,2] published by Springer-Verlag under
similar titles that we shall refer to as Volumes I and II. New York
November 1977 TABLE OF CONTENTS I. INTRODUCTION 1 1. Shockless Airfoils
and Supercritical Wing Sections 1 2. Differential Equations of Gas
Dynamics 2 II. THE METHOD OF COMPLEX CHARACTERISTICS 5 1. A New Boundary
Value Problem 5 2. Topology of the Paths of Integration 8 3. Iterative
Scheme for the Map Function 9 III. TRANSONIC AIRFOIL DESIGN CODE 10 1.
Isolated Airfoils 10 2. Compressor Cascades 12 3. Turbine Cascades 13 4.
Comparison with Experiment 14 IV. TWO-DU1ENSIONAL ANALYSIS CODE 16 1.
Wave Drag 16 2. A Fast Solver 19 3. Remarks about Three-Dimensional Flow
24 V. REFERENCES 26 VI.