Inverse design of 2-D airfoil via vibrational genetic algorithm

Within this study, it is aimed to provide an efficient algorithm for inverse design of 2-D airfoil in different flow conditions. For this purpose, as a stochastic search method, current vibrational genetic algorithm (VGA) is improved and used to accelerate the algorithm for inverse design. From the results obtained, it is concluded that VGA decreased the required time for optimal airfoil solution beside its simplicity. Low population rate and short generation cycle are the main benefits ofvibrational genetic algorithm.

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[1] Hicks, R. M., Murman, E. M. and Vanderplaats, G. N., An Assessment of Airfoil Design by Numerical Optimization, NASA TM X3092, Ames Research Center, Moffett Field, California, 1974.

[2] Baysal O., "Aerodynamic Shape Optimization: Methods and Applications", World Aviation Conference, San Francisco, CA, 1999. [3] Jameson A., "Essential Elements of Computational Algorithms for Aerodynamic Analysis and Design", NASA/CR-97-206268, December 1997, ICASE Report No. 97-68, p. 34-35

[4] Jameson A., Kim S., Shankaran S., Leoviriyakit K., "Aerodynamic Shape Optimization: Exploring the Limits of Design", Proceedings Of Ksas'03 Ksas 1st International Sessions In 2003 Fall Conference, Gyeongju/Korea, November 14-15, 2003, p. 2

[5]Ibid, p. 3-5

[6]Baysal O., Eleshaky M. E., "Aerodynamic Sensitivity Analysis Methods for the Compressible Euler Equations", Journal of Fluids Engineering, Vol. 113, No 4, 1991, pp. 681-688.

[7] Baysal O., Eleshaky M. E., "Aerodynamic Design Optimization Using Sensitivity Analysis and Computational Fluid Dynamics", AIAA Journal, Vol. 30, No 3, 1992, pp. 718-725.

[8] Jameson A., "Aerodynamic Design via Control Theory", Journal of Scientific Computing, 3:233-260, 1988.

[9] Jameson A., "Computational aerodynamics for aircraft design", Science, 245:361-371, July 1989.

[10] Wang, X., Damodaran, M. and Lee, S. L., "Inverse Transonic Airfoil Design Using Parallel Simulated Annealing and Computational Fluid Dynamics", AIAA Journal, Vol. 40, No. 4, 2002.

[11] Wang, X. and Damodaran, M., "Aerodynamic Shape Optimization Using Computational Fluid Dynamics and Parallel Simulated Annealing Algorithms", AIAA Journal, Vol. 39, No. 8, 2001.

[12] Rai, M. M. and Madavan, N. K., "Aerodynamic Design Using Neural Networks, AIAA Journal, Vol. 38, No. 1, 2000.

[13] Obayashi, S. and Takanashi, S., "Genetic Optimization of Target Pressure Distributions for Inverse Design Methods", Proc. 12th AIAA Computational Fluid Dynamics Conf., San Diego, 1995.

[14] Quagliarelia, D. and Cioppa, A. D., "Genetic Algorithms Applied to the Aerodynamic Design of Transonic Airfoil", Proc. 12th AIAA Applied Aerodynamics Conference, Colorado Springs, AIAA-94-1896-CP, s. 686-693, 1994.

[15] Cao, H. V., and Blom, G. A., "Navier-Stokes/Genetic Optimization of Multi-Element Airfoils", AIAA 962487, 1996.

[16] Jones B. R., Crossley W. A., Lyrintzis A, S., "Aerodynamic and Aero acoustic Optimization of Airfoils via a Parallel Genetic Algorithm", Purdue University, 1998.

[17] Doorly, D. J. and Peiro, L., "Supervised Parallel Genetic Algorithms in Aerodynamic Optimization", AIAA 97-1852,1997.

[18] Vicini A., Quagliarella D., "Airfoil And Wing Design Through Hybrid Optimization Strategies", Presented As Paper 98-2729 At The AIAA 16th Applied Aerodynamics Conference, Albuquerque, New Mexico, June 1998.

[19] Tse D. C. M., Chan Y. Y. L., "Application of Micro Genetic Algorithms and Neural Networks for Airfoil Design Optimization", RTO-AVT Symposium on Aerodynamic Design and Optimization of Flight Vehicles in a Concurrent Multi-disciplinary Environment, Canada, 1999, RTO MP-35.

[20] De Falco I., Cioppa, A. D., Balio, R. D., and Tarantino, E., "Breeder Genetic Algorithms for Airfoil Design Optimization", IEEE Int. Conf. on Evolutionary Computing, Nagoya, Japan, 1996.

[21] Hacioglu A., "Using Genetic Algorithm in Aerodynamic Design and Optimization", Ph. D. Thesis, Technical University of Istanbul, 2003.

[22] De Falco I., Cioppa, A. D., Lazzetta, A. and Tarantino, E., "Mijn Mutation Operator for Airfoil Design Optimization", Soft Computing in Engineering Design and Manufacturing, Springer Verlag, 1998, p. 211-220

[23] Holland J. H., "Adaptation in Natural and Artificial Systems", the University of Michigan Press, 1975, p. 21-22.

[24] Cheng R., Gen M., "Genetic Algorithms and Engineering Optimization", John Wiley and Sons, Inc., 2000, p. 3

[25]Ibid., p. 7-9

[26]Holland J. H., p. 97-98

[27]Wu H-Y., Yang S., Liu F., "Comparison Of Three Geometric Representations Of Airfoils For Aerodynamic Optimizations", AIAA 2003-4095, 2003, p. 2

[28]Nemec M., "Optimal Shape Design of Aerodynamic Configurations: A Newton-Krylov Approach", Ph. D. Thesis, University Of Toronto, 2003, p. 17

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