References for the AFSMO and PROFILE Programs

The first two references are the primary references for the smoothing programs. References taken from these reports are shown here. Also, the book by Gary Knott has an excellent reference list and bibliography on spline interpolation. Reference 17 by Selig illustrates the importance of smoothing in obtaining good aerodynamic predictions.

  1. Morgan, Harry L.: Computer Programs for Smoothing and Scaling Airfoil Coordinates. NASA Technical Memorandum TM-84666, July 1983
  2. Collins, Leslie and Saunders, David: PROFILE: Airfoil Geometry Manipulation and Display. NASA Contractor Report 177332, February 1997.
  3. Abbott, Ira H.; and Von Doenhoff, Albert E.: Theory of Wing Sections. Dover Publications, Inc., New York, 1959.
  4. Garabedian, P.R.: Transonic Airfoil Codes. NASA CP-2045, Advanced Technology Airfoil Research, Volume I, Part 1, 1979.
  5. Stevens, W. A.; Goradia, S. H.; and Braden, J.A.: Mathematical Model for Two-Dimensional Multi-Component Airfoils in Viscous Flow. NASA Contractor Report CR-1843, 1971.
  6. Eppler, Richard; and Somers, Dan M.: A Computer Program for the Design and Analysis of Low-Speed Airfoils. NASA Technical Memorandum 80210, 1980.
  7. Reinsch, Christian H.: Smoothing by Spline Functions. Numerische Mathematik, Vol. 10, no. 3, 1967, pp. 177-183.
  8. Hildebrand, Francis B.: Methods of Applied Mathematics. Second Edition, Prentice-Hall, Inc., 1965.
  9. Gill, P. E., W. Murray,W. and Pitfield, R.A.: The Implementation of Two Revised Quasi-Newton Algorithms for Unconstrained Optimization National Physical Laboratory, Division of Numerical Analysis and Computing Report No. NAC 11, April, 1972.
  10. Gill, P. E., W. Murray, W. and Wright, M.H.: Practical Optimization London, Academic Press, 1981.
  11. Hicks, R. M., and G. N. Vanderplaats, G.N.: Application of NumericaI Optimization to the Design of Supercritical Airfoils Without Drag Creep. SAE Paper 770440, 1977.
  12. Kennelly, R.A. Jr.: Improved Method for Transonic Airfoil Design-by-Optimization. NASA Contractor Report CR-166497, July 1983.
  13. Ramamoorthy, P. and Padmavathi, K.: Airfoil Design by Optimization. Journal of Aircraft, Vol. 14 (Feb. 1977), 219-221.
  14. Stewart, G.W.: Introduction to Matrix Computations. New York: Academic Press, 1973.
  15. Vinokur,M.: On One-Dimensional Stretching Functions for Finite-Difference Calculations. Journal of Computational Physics, Vol. 50, No. 2, May, 1983.
  16. Knott, Gary D.: Interpolating Cubic Splines. Birkhauser,2000.
  17. Selig, M.S.: The Design of Airfoils at Low Reynolds Number. AIAA-85-0074, January 1985