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.
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References
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).
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).
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).
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).
Garabedian, P. and McFadden, G.: Design of Supercritical Swept Wings, AIAA J., Vol.20, No.3, pp. 289–291 (March 1982).
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).
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).
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).
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).
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).
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).
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).
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© 1999 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Dulikravich, G.S., Baker, D.P. (1999). Using Existing Flow-Field Analysis Codes for Inverse Design of Three-Dimentional Aerodynamic Shapes. In: Fujii, K., Dulikravich, G.S. (eds) Recent Development of Aerodynamic Design Methodologies. Notes on Numerical Fluid Mechanics (NNFM), vol 65. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-89952-1_5
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DOI: https://doi.org/10.1007/978-3-322-89952-1_5
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