Optimization methods are often applied in aerodynamic design of modern civil aircraft supercritical wings. However, optimization algorithms cannot directly describe the industrial requirements, therefore, corresponding mathematical descriptions must be developed to tackle the problem. In the present paper, gradient algorithms and stochastic algorithms are compared in a supercritical wing optimization. Then, several requirements of aircraft aerodynamic design are summarized and mathematically described, and these criteria are applied to a multi-objective stochastic optimization method as objectives and constraints. The method is applied to a civil aircraft wing aerodynamic optimization, and the results show that better efficiency and result can be obtained by using pressure distribution guided objectives and constraints.
LI Runze
,
ZHANG Yufei
,
CHEN Haixin
. Strategies and methods for multi-objective aerodynamic optimization design for supercritical wings[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020
, 41(5)
: 623409
-623409
.
DOI: 10.7527/S1000-6893.2019.23409
[1] 李润泽, 张宇飞, 陈海昕. "人在回路"思想在飞机气动优化设计中演变与发展[J]. 空气动力学学报,2017, 35(4):529-543. LI R Z, ZHANG Y F, CHEN H X. Evolution and development of "man-in-loop" in aerodynamic optimization design[J]. Acta Aerodynamica Sinica, 2017, 35(4):529-543(in Chinese).
[2] LI R Z, DENG K W, ZHANG Y F, et al. Pressure distribution guided supercritical wing optimization[J]. Chinese Journal of Aeronautics, 2018, 31(9):1842-1854.
[3] DENG K W, CHEN H X. A hybrid aerodynamic optimization algorithm based on differential evolution and RBF response surface[C]//17th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference. Reston:AIAA, 2016:3671.
[4] SKINNER S N, ZARE-BEHTASH H. State-of-the-art in aerodynamic shape optimization methods[J]. Applied Soft Computing, 2018, 62(1):933-962.
[5] JAMESON A. Aerodynamic design via control theory[J]. Journal of Scientific Computing, 1988, 3(3):233-260.
[6] MADER C A, MARTINS J R, ALONSO J J, et al. ADjoint:An approach for the rapid development of discrete adjoint solvers[J]. AIAA Journal, 2008, 46(4):863-873.
[7] ZINGG D W, NEMEC M, PULLIAM T H. A comparative evaluation of genetic and gradient-based algorithms applied to aerodynamic optimization[J]. European Journal of Computational Mechanics, 2008, 17(1-2):103-126.
[8] BUCKLEY H P, ZHOU B Y, ZINGG D W. Airfoil optimization using practical aerodynamic design requirements[J]. Journal of Aircraft, 2010, 47(5):1707-1719.
[9] CHERNUKHIN O, ZINGG D W. Multimodality and global optimization in aerodynamic design[J]. AIAA Journal, 2013, 51(6):1342-1354.
[10] MUYL F, DUMAS L, HERBERT V. Hybrid method for aerodynamic shape optimization in automotive industry[J]. Computers & Fluids, 2004, 33(5-6):849-858.
[11] 陈海昕, 邓凯文, 李润泽. 机器学习技术在气动优化中的应用[J]. 航空学报, 2019, 40(1):522480. CHEN H X, DENG K W, LI R Z. Utilization of machine learning technology in aerodynamic optimization[J]. Acta Aeronautica et Astronautica Sinica, 2019, 40(1):522480(in Chinese).
[12] LI R Z, ZHANG M, ZHANG M H, et al. Multi-point aerodynamic optimization design of a dual-aisle airplane wing[C]//31st Congress of the International Council of the Aeronautical Sciences, 2018.
[13] GILL P E, MURRARY W, SAUNDERS M A. SNOPT:An SQP algorithm for large-scale constrained optimizat-ion[J]. SIAM Review, 2005, 47(1):99-131.
[14] NADARAJAH S, JAMESON A. A comparison of the continuous and discrete adjoint approach to automatic aerodynamic optimization[C]//38th Aerospace Sciences Meeting and Exhibit. Reaton:AIAA, 2000.
[15] OBERT E. Aerodynamic design of transport aircraft[M]. Amsterdam:IOS Press, 2009.
[16] KRENZ G. Transonic configuration design, 712. AGARD special course on subsonic/transonic aerodynamic interference for aircraft[R]. Washington,D.C:NASA Langley Research Center, 1983.
[17] TORENBEEK E. Airplane weight and balance, synthesis of subsonic airplane design.[M]. Dordrecht:Springer, 1982:263-302.
[18] WHITCOMB R T. Transonic airfoil development:19840004008[R]. Washington,D.C.:NASA Langley Research Center, 1983.
[19] MCLEAN D. Understanding aerodynamics:Arguing from the real physics[M]. Chichester:John Wiley & Sons, 2012.
[20] ZHANG, Y F, FANG X M, CHEN H X, et al. Supercritical natural laminar flow airfoil optimization for regional aircraft wing design[J] Aerospace Science and Technology, 2015, 43(1):152-164.