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."
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