基于伴随方法的无人机气动隐身优化设计

doi:10.7527/S1000-6893.2024.30010

Abstract

Abstract:

The shape design of the stealth UAV needs to give consideration to both aerodynamic and stealth performance and balance these two disciplines. To further tap the potentials of UAV， this paper adopts a multidisciplinary optimization design method to refine the shape. Firstly， an adjoint method for solving the gradient of Radar Cross Section （RCS） of a homogeneous medium target is established. The target with the stealth material is treated as a homogeneous medium. The RCS of the homogeneous medium is solved by the Poggio-Miller-Chang-Harrington-Wu-Tsai （PMCHWT） equation. Secondly， a multidisciplinary gradient optimization design system for aero/stealth is established by combining the Reynolds average Navier-Stokes equation solver， the free form deformation parameterization method， the inverse distance weight mesh deformation algorithm， the sequential quadratic programming algorithm， and the adjoint method. Finally， the aero/stealth optimization design of the shape of a UAV is carried out. The results show that the aerodynamic and stealth performance of the optimized shape is improved， which verifies the effectiveness of the method proposed.

Key words: adjoint method, Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) equation, method of moments, RANS, multidisciplinary optimization, aero/stealth

CLC Number:

V211.41

Ming LI, Jiaojiao CHEN, Hai ZHOU, Yingwen CHEN, Junqiang BAI. Adjoint⁃based aero/stealth optimization design for UAV[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(17): 530010-530010.

Figures/Tables 22

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References 37

1	VINH H， VAN DAM C， DWYER H. Shape optimization for aerodynamic efficiency and low observability［C］∥ Proceedings of the 23rd Fluid Dynamics， Plasmadynamics， and Lasers Conference. Reston： AIAA， 1993.
2	VINH H， VAN DAM C P， DWYER H A. Airfoil shaping for reduced radar cross section［J］. Journal of Aircraft， 1994， 31（4）： 787-793.
3	朱自强， Islam Zubair，朱一琨，等. 翼型外形高气动效率/低可探测性的优化［J］. 航空学报， 1998， 19（6）： 641-646.
	ZHU Z Q， ZUBAIR I， ZHU Y K， et al. Airfoil shape optimization for high aerodynamic efficiency/low observability［J］. Acta Aeronautica et Astronautica Sinica， 1998， 19（6）： 641-646 （in Chinese）.
4	张彬乾，罗烈，陈真利，等. 飞翼布局隐身翼型优化设计［J］. 航空学报， 2014， 35（4）： 957-967.
	ZHANG B Q， LUO L， CHEN Z L， et al. On stealth airfoil optimization design for flying wing configuration［J］. Acta Aeronautica et Astronautica Sinica， 2014， 35（4）： 957-967 （in Chinese）.
5	陈曦，白俊强，李权. 某飞翼布局隐身飞行器的翼型优化［J］. 航空计算技术， 2013， 43（6）： 46-49， 53.
	CHEN X， BAI J Q， LI Q. Airfoil optimization of a stealth flying wing aerial vehicle［J］. Aeronautical Computing Technique， 2013， 43（6）： 46-49， 53 （in Chinese）.
6	高正红，夏露，李天，等. 飞行器气动与隐身性能一体化优化设计方法研究［J］. 飞机设计， 2003， 23（3）： 1-5.
	GAO Z H， XIA L， LI T， et al. Investigation into collaborative optimization design techniques of aircraft aerodynamics and stealth performances［J］. Aircraft Design， 2003， 23（3）： 1-5 （in Chinese）.
7	夏露，高正红，李天. 飞行器外形多目标多学科综合优化设计方法研究［J］. 空气动力学学报， 2003， 21（3）： 275-281.
	XIA L， GAO Z H， LI T. Investigation of integrated multi-disciplinary and multi-objective optimization of the aircraft configuration design method［J］. Acta Aerodynamica Sinica， 2003， 21（3）： 275-281 （in Chinese）.
8	夏露. 导弹外形气动与隐身一体化优化设计研究［D］. 西安：西北工业大学， 2001.
	XIA L. Research on integrated optimization design of aerodynamic and stealth of missile shape［D］. Xi’an： Northwestern Polytechnical University， 2001 （in Chinese）.
9	王明亮. 飞行器气动与隐身综合设计研究［D］. 西安：西北工业大学， 2005.
	WANG M L. Research on integrated aerodynamic and stealth design of aircraft［D］. Xi’an： Northwestern Polytechnical University， 2005 （in Chinese）.
10	苏伟. 隐身约束的多目标气动外形优化设计［D］. 西安：西北工业大学， 2004.
	SU W. Multi-objective aerodynamic shape optimization design with stealth constraints［D］. Xi’an： Northwestern Polytechnical University， 2004 （in Chinese）.
11	胡添元，余雄庆. 面向多学科设计优化的模型生成器［J］. 机械科学与技术， 2010， 29（8）： 1097-1100， 1105.
	HU T Y， YU X Q. A model generator for multidisciplinary design optimization［J］. Mechanical Science and Technology for Aerospace Engineering， 2010， 29（8）： 1097-1100， 1105 （in Chinese）.
12	胡添元，余雄庆. 目标函数的选择对雷达隐身优化设计的影响［J］. 南京航空航天大学学报， 2008， 40（4）： 447-450.
	HU T Y， YU X Q. Effect of objective function in optimization design on low observability［J］. Journal of Nanjing University of Aeronautics & Astronautics， 2008， 40（4）： 447-450 （in Chinese）.
13	邓海强，余雄庆. 亚声速翼身融合无人机概念外形参数优化［J］. 航空学报， 2014， 35（5）： 1200-1208.
	DENG H Q， YU X Q. Configuration optimization of subsonic blended wing body UAV conceptual design［J］. Acta Aeronautica et Astronautica Sinica， 2014， 35（5）： 1200-1208 （in Chinese）.
14	何开锋，钱炜祺，陈坚强，等. 基于流体力学和电磁学方程数值求解的飞行器气动隐身一体化设计［J］. 空气动力学学报， 2009， 27（2）： 180-185.
	HE K F， QIAN W Q， CHEN J Q， et al. Integrated aircraft design of aerodynamic and stealthy performance with numerically solving fluid dynamics and electro-magnetics equations［J］. Acta Aerodynamica Sinica， 2009， 27（2）： 180-185 （in Chinese）.
15	刘莉，蒋孟龙，龙腾，等. 战术导弹气动隐身快速多目标优化方法［J］. 北京航空航天大学学报， 2014， 40（12）： 1654-1659.
	LIU L， JIANG M L， LONG T， et al. Effective multi-objective optimization for aerodynamic and stealthy performance of tactical missiles［J］. Journal of Beijing University of Aeronautics and Astronautics， 2014， 40（12）： 1654-1659 （in Chinese）.
16	廖炎平，刘莉，龙腾. 大展弦比前掠翼气动隐身多目标优化［J］. 航空计算技术， 2011， 41（3）： 5-9.
	LIAO Y P， LIU L， LONG T. Multi-objective aerodynamic and stealthy performance optimization for large-aspect-ratio forward-swept wings［J］. Aeronautical Computing Technique， 2011， 41（3）： 5-9 （in Chinese）.
17	JIANG X W， ZHAO Q J， ZHAO G Q， et al. Numerical optimization on aerodynamic/stealth characteristics of airfoil based on CFD/CEM coupling method［J］. Transactions of Nanjing University of Aeronautics and Astronautics， 2016， 33（3）： 274-284.
18	陈保. 基于代理模型的气动隐身多学科优化设计［D］. 西安：西北工业大学， 2020.
	CHEN B. Aero-stealth multi-disciplinary optimization design based on surrogate model［D］. Xi’an： Northwestern Polytechnical University， 2020 （in Chinese）.
19	LI M， CHEN J J， FENG X Y， et al. An efficient adjoint method for the aero-stealth shape optimization design［J］. Aerospace Science and Technology， 2021， 118： 107017.
20	LI M， BAI J Q， LI L， et al. A gradient-based aero-stealth optimization design method for flying wing aircraft［J］. Aerospace Science and Technology， 2019， 92： 156-169.
21	黎明，刘超宇，屈峰，等. 基于伴随方程的气动隐身多频段优化设计系统［C］∥第五届中国航空科学技术大会论文集. 北京：北京航空航天大学出版社， 2021： 459-464.
	LI M， LIU C Y， QU F， et al. Adjoint-based multi-band aero-stealth optimization design system［C］∥The 5th Chinese Aeronautics Science and Technology Conference. Beijing： Beihang University Press， 2021： 459-464 （in Chinese）.
22	陈保，白俊强，黎明. 基于分解策略的飞行器气动隐身优化设计研究［J］. 气体物理， 2019， 4（6）： 40-49.
	CHEN B， BAI J Q， LI M. A study of aerodynamic and stealth optimization design for aircraft based on decomposition［J］. Physics of Gases， 2019， 4（6）： 40-49 （in Chinese）.
23	ZHOU L， HUANG J T， GAO Z H， et al. Three-dimensional aerodynamic/stealth optimization based on adjoint sensitivity analysis for scattering problem［J］. AIAA Journal， 2020， 58（6）： 2702-2715.
24	黄江涛，周琳，陈宪，等. 基于NS/CFIE伴随方程的飞行器气动隐身综合优化［J］. 航空学报， 2023， 44（12）： 127757.
	HUANG J T， ZHOU L， CHEN X， et al. Integrated aerodynamic and stealth optimization of aircraft based on NS/CFIE adjoint equations［J］. Acta Aeronautica et Astronautica Sinica， 2023， 44（12）： 127757 （in Chinese）.
25	BONDESON A， YANG Y， WEINERFELT P. Shape optimization for radar cross sections by a gradient method［J］. International Journal for Numerical Methods in Engineering， 2004， 61（5）： 687-715.
26	BONDESON A， YANG Y， WEINERFELT P. Optimization of radar cross section by a gradient method［J］. IEEE Transactions on Magnetics， 2004， 40（2）： 1260-1263.
27	李宏信，沈海军. 隐身结构机翼RCS分析与优化设计［J］. 飞机设计， 2010， 30（1）： 5-8.
	LI H X， SHEN H J. The optimization design of the wing with low detectable structure［J］. Aircraft Design， 2010， 30（1）： 5-8 （in Chinese）.
28	POGGIO A J， MILLER E K. Integral equation solutions of three-dimensional scattering problems［M］∥ Computer Techniques for Electromagnetics. Amsterdam： Elsevier， 1973： 159-264.
29	CHANG Y， HARRINGTON R. A surface formulation for characteristic modes of material bodies［J］. IEEE Transactions on Antennas and Propagation， 1977， 25（6）： 789-795.
30	WU T K， TSAI L L. Scattering from arbitrarily-shaped lossy dielectric bodies of revolution［J］. Radio Science， 1977， 12（5）： 709-718.
31	SEDERBERG T W， PARRY S R. Free-form deformation of solid geometric models［J］. ACM SIGGRAPH Computer Graphics， 1986， 20（4）： 151-160.
32	LAURA U. Inverse distance weighting mesh deformation［D］. Delft： Delft University of Technology， 2014.
33	BARCLAY A. SQP methods for large-scale optimization［D］. San Diego： University of California San Diego， 1999.
34	RAO S， WILTON D， GLISSON A. Electromagnetic scattering by surfaces of arbitrary shape［J］. IEEE Transactions on Antennas and Propagation， 1982， 30（3）： 409-418.
35	FISCHER V， GERBAUD L， WURTZ F. Using automatic code differentiation for optimization［J］. IEEE Transactions on Magnetics， 2005， 41（5）： 1812-1815.
36	WOO A C， WANG H T G， SCHUH M J， et al. Benchmark radar targets for the validation of computational electromagnetics programs［J］. IEEE Antennas and Propagation Magazine， 1993， 35（1）： 84-89.
37	MADER C A， KENWAY G K W， YILDIRIM A， et al. ADflow： An open-source computational fluid dynamics solver for aerodynamic and multidisciplinary optimization［J］. Journal of Aerospace Information Systems， 2020， 17（9）： 508-527.

算例	w₁	w₂	χ₁	χ₂
1	1.0	0	1.000 0	1.0
2	0.5	0.5	0.000 1	10.0
3	0.5	0.5	0.000 1	30.0

外形	攻角/（°）	C_D	升阻比
基准外形	2.59	0.025 04	9.98
优化外形1	2.29	0.024 41	10.24
优化外形2	2.22	0.024 42	10.24
优化外形3	2.38	0.024 82	10.07

外形	金属RCS/dBsm		介质RCS/dBsm
外形	HH极化	VV极化	HH极化	VV极化
基准外形	-10.76	-10.37	-27.31	-30.57
优化外形1	-10.81	-10.42	-26.65	-30.51
优化外形2	-10.85	-10.47	-26.58	-30.74
优化外形3	-10.93	-10.41	-25.46	-34.82

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Adjoint⁃based aero/stealth optimization design for UAV

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