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Using Existing Flow-Field Analysis Codes for Inverse Design of Three-Dimentional Aerodynamic Shapes

  • George S. Dulikravich
  • Daniel P. Baker
Chapter
Part of the Notes on Numerical Fluid Mechanics (NNFM) book series (NONUFM, volume 65)

Summary

This chapter demonstrates that it is possible to use existing proven arbitrary flow-field analysis codes without any modifications to perform inverse aerodynamic design of two-dimensional and three-dimensional shapes. A general concept for inverse design of aerodynamic shapes based on treating the aerodynamic surface as an elastic membrane subject to a specified surface pressure distribution is explained. A new mathematical formulation based on the Fourier series analytical solution of this model is detailed. The method is formulated for two-dimensional and for three-dimensional configurations. It can be used in conjunction with any available flow-field analysis code without a need for modification of such a code. Preliminary testing of the new method is performed with a potential flow surface panel code, an Euler flow solver, and a Navier-Stokes flow solver. The convergence rate of the design process is found to be similar for both non-lifting and lifting aerodynamic shapes with the Navier-Stokes flow solver typically requiring minimum number of design iterations. Suggestions for further research and improvements are made.

Keywords

Elastic Membrane Degree Angle Inverse Design Aerodynamic Shape Airfoil Shape 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. [1]
    Dulikravich, G.S.: Aerodynamic Shape Design and Optimization: Status and Trends, AIAA Journal of Aircraft, Vol. 29, No. 5, pp. 1020–1026 (Nov./Dec. 1992).CrossRefGoogle Scholar
  2. [2]
    Dulikravich, G.S.: Shape Inverse Design and Optimization for Three-Dimensional Aerodynamics, AIAA invited paper 95–0695, AIAA Aerospace Sciences Meeting, Reno, NV, January 9–12 (1995).Google Scholar
  3. [3]
    Dulikravich, G.S.: Design and Optimization Tools Development, chapters no. 10–15 in New Design Concepts for High Speed Air Transport (editor: H. Sobieczky), Springer, Wien/New York, 1997, pp. 159–236 (1997).Google Scholar
  4. [4]
    Garabedian, P. and McFadden, G.: Computational Fluid dynamics of Airfoils and Wings, in Transonic. Shock, and Multidimensional Flows: Advances in Scientific Computing, pp. 1–16, Academic Press (1982).Google Scholar
  5. [5]
    Garabedian, P. and McFadden, G.: Design of Supercritical Swept Wings, AIAA J., Vol.20, No.3, pp. 289–291 (March 1982).zbMATHCrossRefGoogle Scholar
  6. [6]
    Malone, J., Vadyak, J. and Sankar, L.N.: A Technique for the Inverse Aerodynamic Design of Nacelles and Wing Configurations, AIAA Journal of Aircraft, Vol. 24, No. 1, pp. 8–9, (January 1987).CrossRefGoogle Scholar
  7. [7]
    Hazarika, N.: An Efficient Inverse Method for the Design of Blended Wing-Body Configurations, Ph.D. Thesis, Aerospace Eng. Dept., Georgia Institute of Technology (June 1988).Google Scholar
  8. [8]
    Malone, J.B., Narramore, J.C. and Sankar, L.N.: An Efficient Airfoil Design Method Using the Navier-Stokes Equations, in Proceedings of AGARD Specialists’ Meeting on Computational Methods for Aerodynamic Design (Inverse) and Optimization. AGARD-CP-463, (editor: J. Slooff), Loen, Norway, May 22–23 (1989).Google Scholar
  9. [9]
    Malone, J.B., Narramore, J.C. and Sankar, L.N.: An Airfoil Design Method for Viscous Flows, Proceedings of the 15th Southeastern Conference on Theoretical and Applied Mechanics, Vol. XV, pp. 463–470, (editors: S.V. Hanagud, M.P. Kamat, C.E. Ueng), Georgia Institute of Technology, Atlanta, GA (1990).Google Scholar
  10. [10]
    Press, W.H, Teukolsky, S.A., Vetterling, W.T. and Flannery, B.P.: Numerical Recipes in FORTRAN. The Art of Scientific Computing, 2nd Edition, Cambridge University Press, Cambridge (1986).Google Scholar
  11. [11]
    Dulikravich, G.S. and Baker, D.P.: Fourier Series Analytical Solution for Inverse Design of Aerodynamic Shapes, Proceedings of International Symposium on Inverse Problems in Engineering Mechanics-ISIP’98 (editors: M. Tanaka and G.S. Dulikravich), Nagano City, Japan, March 24–27, 1998, Elsevier Science, U.K. (1988).Google Scholar
  12. [12]
    Dulikravich, G.S. and Baker, D.P.: Aerodynamic Shape Inverse Design Using a Fourier Series Method, AIAA paper 99–0185, Aerospace Sciences Meeting, Reno, NV, January 11–14 (1999).Google Scholar

Copyright information

© Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden 1999

Authors and Affiliations

  • George S. Dulikravich
    • 1
  • Daniel P. Baker
    • 1
  1. 1.Department of Aerospace EngineeringThe Pennsylvania State UniversityUniversity ParkU.S.A.

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