Abstract
The main drawback of using constrained optimization in 3-D aerodynamic shape design is that it requires anywhere from hundreds to tens of thousands of calls to a 3-D flow-field analysis code. Since certain general 3-D aerodynamic shape inverse design methodologies require only a few calls to a modified 3-D flow-field analysis code, it would be highly desirable to create a hybrid new design algorithm that would combine some of the best features of both approaches while requiring less computing time than a few dozen calls to the 3-D flow-field analysis code. We will discuss two such hybrid design formulations that have been proven to work and are distinctly different from each other.
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References
Obayashi, S., Takanashi, S. Genetic Optimization of Target Pressure Distributions for Inverse Design Methods, AIAA Paper 95–1649, San Diego, CA, June 19–22, 1995.
Goel, S., Lamson, S. Automating the Design Process for 3D Turbine Blades, ASME WAM’95, Nov. 14–17, 1995, in Symp. for Design & Optimization (editor: O. Baysal), ASME Vol. 232, pp. 85–95.
Rogers, D. F., Adams, J. A. Mathematical Elements for Computer Graphics, Second Edition, McGraw-Hill, Inc., 1990.
van Egmond, J. A. Numerical Optimization of Target Pressure Distributions for Subsonic and Transonic Airfoil Design, AGARD-CP-463, Loen, Norway, May 22–23, 1989, Ch. 17.
van den Dam, R. F., van Egmond, J. A., Slooff, J. W. Optimization of Target Pressure Distributions, AGARD Report No. 780, Rhode-St.-Genese, Belgium, May 14–18, 1990.
Inger, G. R. Application of Oswatitsch’s Theorem to Supercritical Airfoil Drag Calculation, J. of Aircraft, Vol. 30, No. 3. May-June 1993, pp. 415–416.
Young, A. D. Boundary Layers, AIAA Education Series, 1989.
Davis, L. Handbook of Genetic Algorithms, Reinhold, 1990.
Foster, N. E, Dulikravich, G. S., Bowles, J. Three-Dimensional Aerodynamic Shape Optimization Using Genetic Evolution and Gradient Search Algorithms, AIAA paper 96–0555, AIAA Aerospace Sciences Meeting, Reno, NV, January 15–19, 1996.
Poloni, C., Mosetti, G. Aerodynamic Shape Optimization by Means of Hybrid Genetic Algorithm, Proc. 3rd Internat. Congress on Industrial and Appl. Math., Hamburg, Germany, July 3–7, 1995.
Takanashi, S. Iterative Three-Dimensional Transonic Wing Design Using Integral Equations, J. of Aircraft, Vol. 22, No. 8, August 1985, pp. 655–660.
Wang, Z., Dulikravich, G. S. Inverse Shape Design of Turbomachinery Airfoils Using Navier-Stokes Equations, AIAA paper 95–0304, Reno. NV, January 9–12, 1995.
Lions, J. L. Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, New York, 1971. Translated by S. K. Mitter.
Angrand, F. Optimum Design for Potential Flows, International Journal for Numerical Methods in Fluids, Vol. 3, 1983, pp. 265–282.
Abergel, E, Temam, R. On Some Control Problems in Fluid Mechanics, Theoretical and Comput. Fluid Dynamics, Vol.l, 1990, pp. 303–325.
Gu, C.-G., Miao, Y.-M. Blade Design of Axial-Flow Compressors by the Method of Optimal Control Theory-Physical Model and Mathematical Expression, ASME paper 86-GT-183 presented at the 31st Internat. Gas Turbine Conf. and Exhibit, Dusseldorf, Germany, June 1986.
Gu, C.-G., Miao, Y.-M. Blade Design of Axial-Flow Compressors by the Method of Optimal Control Theory-Application of Pontryagin’s Maximum Principles, a Sample Calculation and Its Results, ASME paper 86-GT-182 presented at the 31st Internat. Gas Turbine Conf. and Exhibit, Duesseldorf, Germany, June 1986.
Jameson, A. Aerodynamic Design Via Control Theory, J. of Scientific Computing, Vol. 3, 1988, pp. 233–260.
Jameson, A. Optimum Aerodynamic Design via Boundary Control, AGARD-FDP-VKI Special Course, VKI, Rhode St.-Genese, Belgium, April 25–29, 1994.
Reuther, J., Jameson, A. Control Theory Based Airfoil Design for Potential Flow and a Finite Volume Discretization, AIAA paper 94–0499, Reno, NV, January 1994.
Reuther, J., Jameson, A. Control Based Airfoil Design Using the Euler Equations, AIAA paper 94–4272-CP, 1994.
Jameson, A. Optimum Aerodynamic Design Using CFD and Control Theory, AIAA CFD Conference Proceedings, San Diego, CA, June 1995, AIAA-95–1729-CP, pp. 926–949.
Cabuk, H., Modi, V. Optimum Design of Oblique Flow Headers, ASHRAE Winter Meeting, New York, NY, January 19–23, 1991.
Cabuk, H., Sung, C.-H., Modi, V. Adjoint Operator Approach to Shape Design for Internal Incompressible Flows, Proc. of the 3rd Internat. Conf. on Inverse Design Concepts and Opt. in Eng. Sci. (ICIDES-III), Ed.: G.S. Dulikravich, Washington, D.C., Oct. 23–25, 1991, pp. 391–404.
Huan, J., Modi, V. Optimum Design of Minimum Drag Bodies in Incompressible Laminar Flow Using a Control Theory Approach, Inverse Problems in Engineering, Vol. 1, No. 1, 1994, pp. 125.
Zhang, J., Chu, C. K., Modi, V. Design of Plane Diffusers in Turbulent Flow, Inverse Problems in Engineering, Vol. 2, No. 2, 1995, pp. 85–102.
Huan, J., Modi, V. Design of Minimum Drag Bodies in Incompressible Laminar Flow, Inverse Problems in Engineering, in press 1996.
Frank. P. D., Shubin, G. R. A Comparison of Optimization-Based Approaches for a Model Computational Aerodynamics Design Problem, Journal of Computational Physics, Vol. 98, 1992, pp. 74–89.
Dixon, A. E., Fletcher, C. A. J. Optimization Applied to Aerofoil Design, Proc. 5th Int. Symp. on CFD, Sendai, Japan, 1993.
Dulikravich, G. S. Aerodynamic Shape Design and Optimization: Status and Trends, AIAA Journal of Aircraft, Vol. 29, No. 5, 1992, pp. 1020–1026.
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; also to appear in AIAA Journal of Aircraft.
Ta’asan, S. One Shot Methods for Optimal Control of Distributed Parameter Systems I: Finite Dimensional Control, ICASE Report No. 91–2, January 1991.
Arian, E., Ta’asan, S. Multigrid One Shot Methods for Optimal Control Problems: Infinite Dimensional Control, ICASE Report No. 94–52, July 1994.
Ta’asan, S. Trends in Aerodynamics Design and Optimization: A Mathematical Viewpoint, AIAA CFD Conference Proceedings, San Diego, CA, June 1995, AIAA-95–1731-CP, pp. 961–970.
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© 1997 Springer-Verlag Wien
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Dulikravich, G.S. (1997). Combined Optimization and Inverse Design of 3-D Aerodynamic Shapes. In: Sobieczky, H. (eds) New Design Concepts for High Speed Air Transport. International Centre for Mechanical Sciences, vol 366. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2658-5_12
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DOI: https://doi.org/10.1007/978-3-7091-2658-5_12
Publisher Name: Springer, Vienna
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