A Theory of Supercritical Wing Sections, with Computer Programs and Examples

  • Frances Bauer
  • Paul Garabedian
  • David Korn

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 66)

Table of contents

  1. Front Matter
    Pages I-V
  2. Frances Bauer, Paul Garabedian, David Korn
    Pages 1-47
  3. Frances Bauer, Paul Garabedian, David Korn
    Pages 48-75
  4. Frances Bauer, Paul Garabedian, David Korn
    Pages 76-80
  5. Back Matter
    Pages 81-212

About this book


At present, there is considerable interest in supercritical wing technology for the development of aircraft designed to fly near the speed of sound. The basic principle is the suppression of boundary layer separation by shifting the shock waves that occur on the wing toward the trailing edge and making them as weak as possible. The purpose of this report is to make available to the engineering public mathematical methods for the design of supercritical wings. These methods depend on the numerical solution of the partial differential equations of two-dimensional gas dynamics. The main contribution is a computer program for the design of shockless transonic airfoils using the hodograph transformation and analytic continuation into the complex domain. Another contribution is a program for the analysis of transonic flow with shocks past an airfoil at off-design conditions. In our design work we include a turbulent boundary layer correction. Part I of the paper is devoted to a description of the mathemati­ cal theory and need not be studied by those primarily concerned with running the programs. Part II is a manual for users of our programs which is independent of the theoretical part. In Part III and in Appendices II and III we give numerical examples and discuss computa­ tional results. The main substance of the report, however, is contained in the listing of the computer programs themselves in Appendix IV. We have used the Fortran language throughout and we have included numerous comment cards in the listing.


Mathematica dynamics flow supercritical wing

Authors and affiliations

  • Frances Bauer
    • 1
  • Paul Garabedian
    • 1
  • David Korn
    • 1
  1. 1.Courant Institute of Mathematical SciencesNew YorkUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1972
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-05807-6
  • Online ISBN 978-3-642-80678-0
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site