论文:2013,Vol:31,Issue(5):829-836
引用本文:
卜月鹏, 宋文萍, 韩忠华, 许建华. 基于CST参数化方法的翼型气动优化设计[J]. 西北工业大学
Bu Yuepeng, Song Wenping, Han Zhonghua, Xu Jianhua. Aerodynamic Optimization Design of Airfoil Based on CST Parameterization Method[J]. Northwestern polytechnical university

基于CST参数化方法的翼型气动优化设计
卜月鹏, 宋文萍, 韩忠华, 许建华
西北工业大学 翼型叶栅空气动力学国防科技重点实验室, 陕西 西安 710072
摘要:
翼型参数化方法的优劣对最终优化设计结果有着非常重要的影响,它是决定优化设计效率和最终优化效果的关键因素。针对翼型外形的不同表达方式(分为翼型直接CST、扰动CST和中弧线叠加厚度分布CST等),分别发展了相应的CST参数化程序,并将其应用于翼型气动优化设计,研究几种不同参数化方式的优化结果和优化效率。RAE2822翼型单目标减阻优化设计的研究表明,基于CST的三种参数化方法和基于Hicks-Henne函数的参数化方法的减阻效果相当,但计算时间相差很大。在设计变量数相当的情况下,扰动CST方法和中弧线叠加厚度分布CST方法的设计效率高于直接CST参数化方法和Hicks-Henne参数化方法而中弧线叠加厚度分布CST的优化效率略高于扰动CST。DU93-w-210翼型单目标最大升阻比优化设计的研究进一步说明中弧线叠加厚度分布CST的优化效率略高于扰动CST。
关键词:    翼型设计    减阻    效率    残差    流程图    函数    升阻比    参数化    几何优化    跨声速空气动力学    风力机    CST(类函数/形函数转变)   
Aerodynamic Optimization Design of Airfoil Based on CST Parameterization Method
Bu Yuepeng, Song Wenping, Han Zhonghua, Xu Jianhua
National Key Laboratory of Science and Technology on Aerodynamic Design and Research, College of Aeronautics, Northwestern Polytechnical University
Abstract:
Airfoil parameterization method has a very important impact on final optimization result. It has significant influence on the optimization design efficiency and result. In this paper,CST(Class function/ Shape function Transformation) method is introduced to describe the airfoil shape with different geometrical parameters: direct CST,perturbed CST,and mean camber and thickness distribution CST. These parameterization methods are applied to airfoil optimization and the corresponding design results and efficiency are compared with each other. Drag minimization of a transonic airfoil is studied,by using the direct CST method,the perturbed CST method,the mean camber and thickness distribution CST method and the Hicks-Henne parameterization method for different orders.The results show that,the above four parameterization methods have nearly identical drag reduction effect but the respective computational costs are quite different. The perturbed CST and mean camber and thickness distribution CST are more efficient than the direct CST method and Hicks-Henne parameterization method with almost equivalent number of design variables. To further compare the optimization effect of the perturbed CST and mean camber and thickness distribution CST under fourth order Bernstern polynomial,lift drag ratio maximization of a wind turbine airfoil is studied. The results and their analysis show preliminarily that mean camber and thickness distribution CST appears appreciably more efficient than the perturbed CST.
Key words:    airfoils    design    drag reduction    efficiency    errors    flowcharting    functions    lift drag ratio    parameterization    shape optimization    transonic aerodynamics    wind turbines    CST (Class function/Shape function Transformation)   
收稿日期: 2012-09-06     修回日期:
DOI:
基金项目: 国家自然科学基金(112722651);国家高技术发展计划(2012AA051301)资助
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作者简介: 卜月鹏(1988-),西北工业大学硕士研究生,主要从事理论与计算流体力学研究。
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参考文献:
[1] Hicks R M, Henne P A.Wing Design by Numerical Optimisation.Journal of Aircraft, 1979, 15(7): 407-413
[2] Sobieczky H.Parametric Airfoils and Wings, Recent Development of Aerodynamic Design Methodologies-Inverse Design and Optimization.Note on Numerical Fluid Mechanics, Germany, 1999, 72-74
[3] Lepine J, Guibault F, Trepanier J Y, Pepin F.Optimized Nonuniform Rational B-Spline Geometrical Representation for Aerodynamic Design of Wings.AIAA Journal, 2001, 39(11): 2033-2041
[4] Kulfan B M, Bussoletti J E.Fundamental Parametric Geometry Representations for Aircraft Component Shapes.AIAA-2006-6948
[5] Kulfan B M.A Universal Parametric Geometry Representation Method— “CST”.AIAA-2007-0062
[6] Bogue D, Crist N.CST Transonic Optimization Using Tranair + +.AIAA-2008-321
[7] Ceze M.A Study of the CST Parameterization Characteristics.AIAA-2009-3767
[8] Lane K A, David D.Marshall Inverse Airfoil Design Utilizing CST Parameterization.AIAA-2010-1228
[9] 许瑞飞, 宋文萍, 韩忠华.改进 Kriging 模型在翼型气动优化设计中的应用研究.西北工业大学学报, 2010, 28 (4):503-510 Xu Ruife, Song Wenping, Han Zhonghua.Application of Improved Kriging-Model-Based Optimization Method in Airfoil Aerodynamic Design.Journal of Northwestern Polytechnical University, 2010, 28(4): 503-510 (in Chinese)
[10] 关晓辉, 李占科, 宋笔锋.CST 气动外形参数化方法研究.航空学报, 2012, 625-633 Guan Xiaohui, Li Zhanke, Song Bifeng.Study on CST Aerodynamic Shape Parameterization Method.Acta Aeronautica et Astronautica Sinica, 2012, 625-633 (in Chinese)
[11] 韩忠华.旋翼绕流的高效数值计算方法及主动流动控制研究: [博士学位论文].西安: 西北工业大学, 2007 Efficient Method for Simulation of Viscous Flows past Helicopter Rotors and Active Flow Control.Ph.D.Thesis, Xi'an, Northwestern Polytechnical University, 2007 (in Chinese)
[12] Takahashi T.The Search for the OptimalWing Configuration for Small Subsonic Air Vehicles.AIAA-2008-5915
[13] Hick R, Moffett Field, Henne P A.Wing Design by Numerical Optimization.AIAA-1977-1247
[14] Kulfan B M.Recent Extensions and Applications of the CST Universal Parametric Geometry Representation Method.AIAA-2007-7709
[15] Padula S L.Options for Robust Airfoil Optimization under Uncertainty.AIAA-2002-5602
[16] Zhao H, IcozT, Jalaric Y, Knight D.Data Driven Design Optimization Methodology.AIAA-2004-0448
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