基于代理模型的低声爆优化设计方法
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- 英文论文题名：Surrogate-Based Low Sonic Boom Design
- 论文作者：乔建领 ; 韩忠华
- 英文论文作者：QIAO Jianling ; HAN Zhonghua ; School of Aeronautics ; Northwest Polytechnical University ; National Key laboratory of Science and Technology on Aerodynamic Design and Research ; School of Aeronautics ; Northwestern Polytechnical University
- 年：2016
- 作者机构：西北工业大学航空学院;
- 论文关键词：声爆 ; 优化 ; 代理模型 ; 线性理论 ; 遗传算法 ; 梯度优化
- 英文论文关键词：sonic boom ; optimization ; surrogate model ; linear sonic boom theory ; genetic algorithm ; gradient-based optimization method
- 会议召开时间：2016-11-04
- 会议录名称：2016年度全国气动声学学术会议论文摘要集
- 语种：中文
- 分类号：V221
- 学会代码：LTLX
- 会议名称：2016年度全国气动声学学术会议
- 会议地点：中国北京
- 主办单位：中国航空学会航空声学专业委员会、中国航空学会气动声学专业委员会、中国商飞上海飞机设计研究院、北京航空航天大学
- 学会名称：北京航空航天大学流体力学教育部重点实验室
- 页数：13
- 文件大小：659k
- 原文格式：D
- 会议级别：全国
摘要
发展低声爆优化设计方法,对于未来超声速客机研究而言,具有重要的理论意义和工程应用价值。国内有人将声爆预测算法与遗传算法相结合,形成了低声爆布局混合优化方法;国际上也有研究者将基于Adjoint的梯度化方法或其他优化方法(如单纯形方法)引入到低声爆优化设计中。遗传算法全局性好,但优化效率低;而梯度优化虽然优化效率高,但容易陷入局部最优。本文将最新发展的具有全局优化能力的代理优化算法与线化声爆预测理论相结合,发展了一种高效全局的低声爆优化设计方法。首先,介绍了所采用的远场声爆预测的线化理论。线化预测方法计算效率高、且预测精度可以满足工程设计的需要。其次,概述了所采用的代理优化方法的几个关键要素,包括试验设计、代理模型、优化加点准则和子优化方法等。最后,给出了某多段圆锥模型的低声爆优化设计算例。将本文方法与遗传算法和梯度优化方法进行了比较;结果表明,本文方法的优化结果优于梯度优化方法,且优化效率相比于遗传算法有显著提高。
For the development of supersonic transport aircraft in the future, a new low-boom design optimization method is supposed to be expended immediately, which is of great theoretical consequences and high engineering value.Some researchers combine sonic-boom predictions with genetic algorithm(GA), developing a hybrid optimization approach, in China.Some external researchers introduce gradient-driven adjoint approach or other optimization methods(such as simplex method) into low-boom design optimization.However, GA has low efficiency and gradientbased method is easily trapped by a local extra.To overcome these drawbacks, this paper develops an efficient global low-boom design optimization method, integrating Witham theory and newly developed surrogate-based optimization(SBO) method.First, the fundamental theory of Witham is briefly introduced.Witham theory is efficient and its precision meets the engineering qualification.Second, the key concepts of SBO are presented, including design of experiment, surrogate model, infill-sampling criterion and sub-optimization method.Third, a stepped cone model case is employed.Compared with GA and gradient-based method, the result of new approach has been improved both in efficiency and accuracy.
For the development of supersonic transport aircraft in the future, a new low-boom design optimization method is supposed to be expended immediately, which is of great theoretical consequences and high engineering value.Some researchers combine sonic-boom predictions with genetic algorithm(GA), developing a hybrid optimization approach, in China.Some external researchers introduce gradient-driven adjoint approach or other optimization methods(such as simplex method) into low-boom design optimization.However, GA has low efficiency and gradientbased method is easily trapped by a local extra.To overcome these drawbacks, this paper develops an efficient global low-boom design optimization method, integrating Witham theory and newly developed surrogate-based optimization(SBO) method.First, the fundamental theory of Witham is briefly introduced.Witham theory is efficient and its precision meets the engineering qualification.Second, the key concepts of SBO are presented, including design of experiment, surrogate model, infill-sampling criterion and sub-optimization method.Third, a stepped cone model case is employed.Compared with GA and gradient-based method, the result of new approach has been improved both in efficiency and accuracy.
引文
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[7]Sriram K Rallabhandi,Eric J Nielsen,Boris Diskin.Sonic-Boom Mitigation Through Aircraft Design and Adjoint Methodology[J].Journal of Aircraft,2014,51(2):502-510.
[8]Mathias Wintzer,Ilan Kroo.Optimization and AdjointBased CFD for the Conceptual Design of Low Sonic Boom Aircraft[R].AIAA-2012-0963,2012.
[9]Sriram K Rallabhandi,Dimitri N Mavris.Aircraft Geometry Design and Optimization for Sonic Boom Reduction[J].Journal of Aircraft,2007,44(1):35-47.
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[23]陈鹏,李晓东.基于Khokhlov-ZabolotskayaKuznetsov方程的声爆频域预测法[J].航空动力学报,2010,25(2):359-365.CHEN Peng,LI Xiao-dong.Frequency domain method for predicting sonic boom progation based on Khokhlov-Zabolotskaya-Kuznetsov Equation[J].Journal of Aerospace Power,2010,25(2):359-365.(in Chinese)
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[25]王健,李应红,程邦勤,等.等离子体气动激励控制波的实验研究[J].航空学报,2009,30(08):1374-1379.WANG Jian,LI Ying-hong,CHENG Bang-qin,et al.Experimental Investigation on Shock Wave Control by Plasma Aerodynamic Actuation[J].2009,30(08):1374-1379.(in Chinese)
[26]冯晓强.声爆计算方法研究及在超声速客机设计的应用.西安:西北工业大学,2012.FENG Xiao-qiang.The Research of Sonic Boom Prediction Method and Application in Supersonic Aircraft Design[D].Xi’An:Northwestern Polytechnical University,2012.(in Chinese)
[27]Mathias Wintzer,Marian Nemec.Adjoint-based Adaptive Mesh Refinement for Sonic Boom Prediction[R].AIAA-2008-6593,2008.
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[33]Sacks J,Welch W J,Mitchell T J,Wynn H P.Design and Analysis of Computer Experiments[J].Statistical Science,1989,4(4):409-423.
[34]HAN Z H,Zimmermann R,G?rtz S.Alternative Cokriging Model for Variable-Fidelity Surrogate Modeling[J].AIAA Journal,2012,50(5):1205-1210.
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[36]HAN Z H,G?rtz S,Hain R.A Variable-Fidelity Modeling Method for Aero-Loads Prediction[J].New Results in Numerical and Experimental Fluid Mechanics VII,Notes on Numerical Fluid Mechanics and Multidisciplinary Design,Vol.112,Springer,New York,2010,pp.17-25.
[37]Forrester A I J,Keane,A J.Recent Advances in Surrogate-based Optimization[J]Progress in Aerospace Sciences,2009,45(1):50-79.
[38]Jones D R.A Taxonomy of Global Optimization Methods Based on Response Surfaces[J].Journal of Global Optimization.2001,21(4):345-383.
[39]刘俊.基于代理模型的高效气动优化设计方法及应用[D].西安:西北工业大学,2015.LIU J.Efficient Surrogate-Based Optimization Method and Its Application in Aerodynamic Design[D].Xi’an,China:Northwestern Polytechnical University,2015.(in Chinese)
[40]Zhong-Hua Han.Surro Opt a Generic Surrogate-Based Optimization Code for Aerodynamic and Multidisciplinary Design[R].ICAS,2016.
[2]陈黎,杨新军.美国超声速公务机研究进展与发展趋势[J].航空科学技术,2014,25(1):11-15.CHEN Li,YANG Xinjun.Research progress and development trends of U.S.supersonic business jet[J].Aeronautical Science&Technology,2014,25(1):11-15.(in Chinese)
[3]冯晓强,宋笔锋,李占科,等.超声速飞机低声爆布局混合优化方法研究[J].航空学报,2013,34(8):1768-1777.FENG X Q,SONG B F,LI Z K,et al.Hybrid optimization approach research for low sonic boom supersonic aircraft configuration[J].ACTA Aeronautica ET Astronautica Sinica,2013,34(8):1768-1777.(in Chinese)
[4]Aftosmis M J,Nemec M,Cliff S E.Adjoint-Based Low-Boom Design with Cart3D[R].AIAA-2011-3500,2011.
[5]Seongim Choi,Juan J Alonso,Ilan M Kroo.MultiFidelity Design Optimization of Low-Boom Supersonic Business Jets[R].AIAA-2004-4371,2004.
[6]Martin K Chan.Supersonic Aircraft Optimization for Minimizing Drag and Sonic Boom[D].Stanford University,2003.
[7]Sriram K Rallabhandi,Eric J Nielsen,Boris Diskin.Sonic-Boom Mitigation Through Aircraft Design and Adjoint Methodology[J].Journal of Aircraft,2014,51(2):502-510.
[8]Mathias Wintzer,Ilan Kroo.Optimization and AdjointBased CFD for the Conceptual Design of Low Sonic Boom Aircraft[R].AIAA-2012-0963,2012.
[9]Sriram K Rallabhandi,Dimitri N Mavris.Aircraft Geometry Design and Optimization for Sonic Boom Reduction[J].Journal of Aircraft,2007,44(1):35-47.
[10]Andrea Minelli,Itham Salah el Din,Gerald Carrier.Advanced Optimization Approach for Supersonic LowBoom Design[R].AIAA-2012-2168,2012.
[11]Whitham G.The Flow Pattern of a Supersonic Project[J].Communications on Pure and Applied Mathematics,1952,5(3):301-347.
[12]Hayes W D.Brief Review of Basic Theory:Sonic Boom Research[R].NASA SP-147,1967.
[13]Seebass R.Sonic boom theory[J].Journal of Aircraft,1969,6(3):177-184.
[14]Seebass R,George A R.Sonic Boom Minimization[J].Journal of the Acoustical Society of America,1972,49(2C):72.
[15]Seebass R,Argrow B.Sonic Boom Minimization Revisited[R].AIAA-1998-2956,1998.
[16]Carlson H W.Simplified Sonic Boom Prediction[R].NASA Technical Paper-1978-1122,1978
[17]Thomas C.Extrapolation of Sonic Boom Pressure Signatures by the Waveform Parameter Method[R].NASATN D-6832,1972.
[18]Potapkin A V,Korotaeva T A,Moskvichev D Y,et al.An Advanced Approach for Far-Field Sonic Boom Prediction[R].AIAA-2009-1056,2009.
[19]Yamashita R,Suzuki K.Full-Field Sonic Boom Simulation in Real Atmosphere[R].AIAA-2014-2269,2014.
[20]Cleveland O R.Propagation of Sonic Booms through a Real,Stratified Atmosphere[D].University of Texasat Austin,1995.
[21]Rallabhandi S K.Advanced Sonic Boom Prediction Using the Augmented Burgers Equation[J].Journal of Aircraft,2012,48(4):1245-1253.
[22]Rallabhandi S K.Mavris D N.New Computational Procedure for Incorporating Computational Fluid Dynamics into Sonic Boom Prediction[J].Journal of Aircraft,2007,44(6):1964-1971.
[23]陈鹏,李晓东.基于Khokhlov-ZabolotskayaKuznetsov方程的声爆频域预测法[J].航空动力学报,2010,25(2):359-365.CHEN Peng,LI Xiao-dong.Frequency domain method for predicting sonic boom progation based on Khokhlov-Zabolotskaya-Kuznetsov Equation[J].Journal of Aerospace Power,2010,25(2):359-365.(in Chinese)
[24]但聃,杨伟.超音速公务机声爆计算与布局讨论[J].航空工程进展,2012,3(1):8-15.DAN Dan,YANG Wei.Supersonic Business Jet Sonic Boom Computation and Layout Discussion[J].Advances in Aeronautical Science and Engineering,2012,3(1):8-15.(in Chinese)
[25]王健,李应红,程邦勤,等.等离子体气动激励控制波的实验研究[J].航空学报,2009,30(08):1374-1379.WANG Jian,LI Ying-hong,CHENG Bang-qin,et al.Experimental Investigation on Shock Wave Control by Plasma Aerodynamic Actuation[J].2009,30(08):1374-1379.(in Chinese)
[26]冯晓强.声爆计算方法研究及在超声速客机设计的应用.西安:西北工业大学,2012.FENG Xiao-qiang.The Research of Sonic Boom Prediction Method and Application in Supersonic Aircraft Design[D].Xi’An:Northwestern Polytechnical University,2012.(in Chinese)
[27]Mathias Wintzer,Marian Nemec.Adjoint-based Adaptive Mesh Refinement for Sonic Boom Prediction[R].AIAA-2008-6593,2008.
[28]Carlson H W,Mack R J,Morris O A.A Wind tunnel Investigation of the Effect of Body Shape on Sonic Boom Pressure Distributions[R].NASA TN D-3106,1965.
[29]韩忠华.Kriging模型及代理优化算法研究新进展[J].航空学报,2016.HAN Z-H.Kriging surrogate model and its application to design optimization:a review of recent progress[J].ACTA Aeronautica ET Astronautica Sinica,2016.(in Chinese)
[30]Krige D G.A Statistical Approach to Some Basic Mine Valuations Problems on the Witwatersrand[J].Journal of the Chemical,Metallurgical and Mining Engineering Society of South Africa,1951,52(6):119-139.
[31]Sacks J,Welch W J,Mitchell T J,Wynn H P.Design and Analysis of Computer Experiments[J].Statistical Science,1989,4(4):409-423.
[32]Krige D G.A Statistical Approach to Some Basic Mine Valuations Problems on the Witwatersrand[J].Journal of the Chemical,Metallurgical and Mining Engineering Society of South Africa,1951,52(6):119-139.
[33]Sacks J,Welch W J,Mitchell T J,Wynn H P.Design and Analysis of Computer Experiments[J].Statistical Science,1989,4(4):409-423.
[34]HAN Z H,Zimmermann R,G?rtz S.Alternative Cokriging Model for Variable-Fidelity Surrogate Modeling[J].AIAA Journal,2012,50(5):1205-1210.
[35]HAN Z H,G?rtz S,Zimmermann R.Improving Variable-Fidelity Surrogate Modeling via Gradient-Enhanced Kriging and a Generalized Hybrid Bridge Function[J].Journal of Aerospace Science and Technology,2013,25(1):177-189.
[36]HAN Z H,G?rtz S,Hain R.A Variable-Fidelity Modeling Method for Aero-Loads Prediction[J].New Results in Numerical and Experimental Fluid Mechanics VII,Notes on Numerical Fluid Mechanics and Multidisciplinary Design,Vol.112,Springer,New York,2010,pp.17-25.
[37]Forrester A I J,Keane,A J.Recent Advances in Surrogate-based Optimization[J]Progress in Aerospace Sciences,2009,45(1):50-79.
[38]Jones D R.A Taxonomy of Global Optimization Methods Based on Response Surfaces[J].Journal of Global Optimization.2001,21(4):345-383.
[39]刘俊.基于代理模型的高效气动优化设计方法及应用[D].西安:西北工业大学,2015.LIU J.Efficient Surrogate-Based Optimization Method and Its Application in Aerodynamic Design[D].Xi’an,China:Northwestern Polytechnical University,2015.(in Chinese)
[40]Zhong-Hua Han.Surro Opt a Generic Surrogate-Based Optimization Code for Aerodynamic and Multidisciplinary Design[R].ICAS,2016.
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