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论文:2019,Vol:37,Issue(5):909-917 |
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引用本文： |
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祝宏宇, 王刚, 刘毅, 马博平. 考虑不确定性的超声速双翼气动特性分析[J]. 西北工业大学学报 |
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ZHU Hongyu, WANG Gang, LIU Yi, MA Boping. Uncertainty Analysis of Supersonic Biplane's Aerodynamic Characteristics[J]. Northwestern polytechnical university |
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| 考虑不确定性的超声速双翼气动特性分析 |
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| 祝宏宇, 王刚, 刘毅, 马博平 |
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| 西北工业大学 航空学院, 陕西 西安 710072 |
| 摘要: |
| 超声速双翼是一种利用激波和膨胀波相互干涉以消除激波阻力的构型。然而，双翼属于单一工作状态设计，为了衡量双翼在设计点附近的稳健性，采用非嵌入式概率配置点不确定性分析方法及Sobol全局灵敏度分析方法，研究双翼在典型工况条件下不确定性扰动对气动特性波动的影响情况。分析了在马赫数和迎角满足特定正态分布的随机扰动下，双翼表面、全流场压强的分布和气动力系数。不确定性分析结果表明，下单翼翼型最大厚度区域的压力脉动是造成气动特性波动的主要原因。灵敏度分析结果表明，马赫数是对双翼气动性能影响最大的因素。 |
| 关键词:
超声速双翼
不确定性分析
气动特性
非嵌入式概率配置点
全局灵敏度
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| Uncertainty Analysis of Supersonic Biplane's Aerodynamic Characteristics |
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| ZHU Hongyu, WANG Gang, LIU Yi, MA Boping |
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| School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| Utilizing the interference of shock and expansion waves, supersonic biplane can reduce the wave drag remarkably. However, the supersonic biplane is only designed at special conditions, so that it has poor performance at off-design conditions. To analyze supersonic biplane's aerodynamic characteristics at off-design conditions, the non-instructive probabilistic collocation method has been employed to achieve uncertainty quantification. Besides, Sobol global sensitivity is adopted to accurately evaluate the influence of the input uncertainty parameters. The uncertainty parameters are Mach number and the angle of attack which both satisfy special normal distributions. Aerodynamic coefficients and pressure distribution from the biplane's surface as well as flow filed are studied. The results of uncertainty quantification show that the main reason for aerodynamic characteristics fluctuations is the pressure pulsation from the maximum thickness of the lower airfoil's upper surface. The results of global sensitivity show that Mach number is the most important factor for the variation of aerodynamic performance. |
| Key words:
supersonic biplane
uncertainty analysis
aerodynamic performance
non-instructive probabilistic collocation method
global sensitivity
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| 收稿日期: 2018-09-18
修回日期:
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| DOI: 10.1051/jnwpu/20193750909 |
| 基金项目: 国家自然科学基金（11772265）资助 |
| 通讯作者:
Email： |
| 作者简介: 祝宏宇(1995-),西北工业大学硕士研究生,主要从事计算流体力学中的不确定性量化分析研究。
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| 作者相关文章 |
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| 祝宏宇 在本刊中的所有文章 |
| 王刚 在本刊中的所有文章 |
| 刘毅 在本刊中的所有文章 |
| 马博平 在本刊中的所有文章 |
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参考文献: |
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[1] BUSEMANN A. Aerodynamic Lift at Supersonic Speeds[J]. Luftfahrtforschung, 1935, 12(6):210-220
[2] KUSUNOSE K, MATSUSHIMA K, MARUYAMA D. Supersonic Biplane-A Review[J]. Progress in Aerospace Sciences, 2011, 47(1):53-87
[3] 华如豪, 叶正寅. 基于Busemann双翼构型的超音速导弹减阻技术研究[J]. 应用力学学报, 2012, 29(5):535-540 HUA Ruhao, YE Zhengyin. Drag Reduction Method for Supersonic Missile Based on Busemann Biplane Concept[J]. Chinese Journal of Applied Mechanics, 2012, 29(5):535-540(in Chinese)
[4] LI W, HUYSE L, PADULA S. Robust Airfoil Optimization to Achieve Drag Reduction over a Range of Mach Numbers[J]. Structural & Multidisciplinary Optimization, 2002, 24(1):38-50
[5] 高正红, 王超. 飞行器气动外形设计方法研究与进展[J]. 空气动力学学报, 2017, 35(4):516-528 GAO Zhenghong, WANG Cao. Aerodynamic Shape Design Methods for Aircraft:Status and Trends[J]. Acta Aerodynamica Sinica, 2017, 35(4):516-528(in Chinese)
[6] SLOTNICK J, KHODADOUST A, ALONSO J, et al. CFD Vision 2030 Study:A Path to Revolutionary Computational Aerosciences[R]. NASA/CR-2014-218178
[7] DOOSTAN A, GHANEM R G, RED-HORSE J. Stochastic Model Reduction for Chaos Representations[J]. Computer Methods in Applied Mechanics & Engineering, 2007, 196(37/38/39/40):3951-3966
[8] MATRE O P L, KNIO O M. Spectral Methods for Uncertainty Quantification[M]. Berlin, Springer Netherlands, 2010
[9] XIU D, KARNIADAKIS G E. Modeling Uncertainty in Flow Simulations Via Generalized Polynomial Chaos[J]. Journal of Computational Physics, 2003, 187(1):137-167
[10] HOSDER S, WALTERS R. A Non-Intrusive Polynomial Chaos Methods for Uncertainty Propagation in CFD Simulation[C]//44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nedava, 2006:1-19
[11] LOEVEN G J A, BIJL H. Probabilistic Collocation Used in a Two-Step Approached for Efficient Uncertainty Quantification in Computational Fluid Dynamics[J]. Computer Modeling in Engineering & Sciences, 2008, 36(3):193-212
[12] LOEVEN G J A. Efficient Uncertainty Quantification in Computational Fluid Dynamics[D]. Holland, Delft University of Technology, 2010
[13] DINESCU C, SMIRNOV S, HIRSCH C. Assessment of Intrusive and Non-Intrusive Non-Deterministic CFD Methodologies Based on Polynomial Chaos Expansions[J]. International Journal of Engineering Systems Modelling & Simulation, 2010, 2(1):87-98
[14] 刘智益, 王晓东, 康顺. 叶顶间隙尺度的不确定性对压气机性能影响的CFD模拟[J]. 工程热物理学报, 2013, V34(4):628-631 LIU Zhiyi, WANG Xiaodong, KANG Shun. CFD Simulations of Uncertain Tip Clearance Effect on Compressor Performace[J]. Journal of Engineering Thermophysics, 2013, V34(4):628-631(in Chinese)
[15] 张航, 吴新. 非嵌入式概率配置点法在后台阶地形流场计算中的应用[J]. 水电能源科学, 2017(7):30-32 ZHANG Han, WU Xin. Application of Non-Intrusive Probabilistic Collocation Method in Back-Step Flow Calcultion[J]. Water Resources and Power, 2017(7):30-32(in Chinese)
[16] 宋赋强, 阎超, 马宝峰,等. 锥导乘波体构型的气动特性不确定度分析[J]. 航空学报, 2018, 39(2):121519 SONG Fuqiang, YAN Chao, MA Baofeng, et al. Uncertainty Analysis of Aerodynamic Characteristics for Cone-Derived Waverider Configure[J]. Acta Aeronautica et Astronautica Sinica, 2018, 39(2):121519(in Chinese)
[17] 邬晓敬, 张伟伟, 宋述芳,等. 翼型跨声速气动特性的不确定性及全局灵敏度分析[J]. 力学学报, 2015, 47(4):587-595 WU Xiaojing, ZHANG Weiwei, SONG Shufang, et al. Uncertainty Quantification and Global Sensitivity Analysis of Transonic Aerodynamics about Airfoil[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(4):587-595(in Chinese)
[18] 蔡毅, 邢岩, 胡丹. 敏感性分析综述[J]. 北京师范大学学报, 2008, 44(1):9-16 CAI Yi, XING Yan, HU Dan. On Sensitivity Analysis[J]. Journal of Beijing Normal University, 2008, 44(1):9-16(in Chinese)
[19] SOBOL I M. Sensitivity Estimates for Nonlinear Mathematical Models[J]. Math Model Comput Exp, 1993, 1(1):112-118
[20] SOBOL I M. Global Sensitivity Indices for Nonlinear Mathematical Models and Their Monte Carlo Estimates[J]. Mathematics & Computers in Simulation, 2014, 55(1):271-280
[21] TATANG M A, PAN W, PRINN R G, et al. An Efficient Method for Parametric Uncertainty Analysis of Numerical Geophysical Models[J]. Journal of Geophysical Research Atmospheres, 1997, 102(18):21925-21932
[22] Saltelli. Global Sensitivity Analysis[M]. England, John Wiley, 2008
[23] 王刚, 叶正寅. 三维非结构混合网格生成与N-S方程求解[J]. 航空学报, 2003, 24(5):385-390 WANG Gang, YE Zhengyin. Generation of Three Dimensional Mixed and Unstructured Grids and its Application in Solving NavierStokes Equations[J]. Acta Aeronautica et Astronautica Sinica, 2003, 24(5):385-390(in Chinese)
[24] WANG G, YE Z Y, WANG G, et al. Application of Mixed Element Type Unstructured Grid in Solving Navier-Stokes Equations[J]. Chinese Journal of Computation Physics, 2004, 21(2):161-165 |
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