Citation: | Wu Xiaojing, Zhang Weiwei, Song Shufang, Ye Zhengyin. UNCERTAINTY QUANTIFICATION AND GLOBAL SENSITIVITY ANALYSIS OF TRANSONIC AERODYNAMICS ABOUT AIRFOIL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(4): 587-595. DOI: 10.6052/0459-1879-14-372 |
Zang TA, Hemsch MJ, Hilburger MW, et al. Needs and opportunities for uncertainty-based multidisciplinary design methods for aerospace vehicle. NASA/TM-2002-211462, 2002
|
Yao W, Chen XQ, Luo WC, et al. Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles. Progress in Aerospace Sciences, 2011, 47: 450-479
|
Jaekwon A, Kim HJ, Dong HL, et al. Response surface method for airfoil design in transonic flow. Journal of Aircraft, 2001, 38 (2): 231-238
|
Armando V, Ning Q. Iterative response surface based optimization scheme for transonic airfoil design. Journal of Aircraft, 2007, 44 (2): 365-376
|
Leifur L, Slawomir K. Multi-fidelity design optimization of transonic airfoils using physics-based surrogate modeling and shape-preserving response prediction. Journal of Computational Science, 2010, 1: 98-106
|
Li W, Huyse L, Padula S. Robust airfoil optimization to achieve consistent drag reduction over a mach range. NASA/CR-2001-211042, 2001
|
Padulo M, Maginot J, Guenov M. Airfoil design under uncertainty with Robust geometric parameterization. AIAA Paper 2009-2270, 2009
|
Croicu AM, Hussaini MY, Jameson A, et al. Robust airfoil optimization using maximum expected value and expected maximum value approaches. AIAA Journal, 2012, 50 (9): 1905-1919
|
Padulo M, Campobasso MS, Guenov MD. Novel uncertainty propagation method for robust aerodynamic design. AIAA Journal, 2011, 49 (3): 530-543
|
Sobol IM. Global sensitivity indices for nonlinear mathematical models and their monte carlo estimates. Mathematics and Computers in Simulation, 2001, 55: 271-280
|
Saltelli A, Ratto M, Andres T, et al. Global Sensitivity Analysis. The Primer. England: John Wiley & Sons, Ltd, 2008
|
Pelletier D, Turgeon E, Lacasse D. Adaptivity, sensitivity, and uncertainty: toward standards of good practice in computational fluid dynamics. AIAA Journal, 2003, 41 (10): 1925-1932
|
Luckring JM, Hemsch MJ, Morrison JH. Uncertainty in computational aerodynamics. AIAA Paper 2003-409, 2003
|
Walters RW, Huyse L. Uncertainty analysis for fluid mechanics with applications. NACA/CR-2002-211449, 2002
|
Knio OM, Maitre OPL. Uncertainty propagation in CFD using polynomial chaos decomposition. Fluid Dynamics Research, 2006, 38: 616-640
|
Najm HN. Uncertainty quantification and polynomial chaos techniques in Computational fluid dynamics. Annual Review of Fluid Mechanics, 2009, 41: 35-52
|
Mathelin L, Hussaini MY, Zang TZ. Stochastic approaches to uncertainty quantification in CFD simulations. Numerical Algorithms, 2005, 38(1): 209-236
|
Simon F, Guillen P, Sagaut P, et al. A GPC-based approach to uncertain transonic aerodynamics. Computer Methods in Applied Mechanics and Engineering, 2010, 199: 1091-1099
|
Chassaing JC, Lucor D. Stochastic investigation of flows about airfoils at transonic speeds. AIAA Journal, 2010, 48(5): 918-949
|
王晓东, 康顺. 多项式混沌法求解随机Burgers 方程.工程热物理学报, 2010, 31(3): 393-398 (Wang Xiaodong, Kang Shun. Solving stochastic burgers equation using polynomial chaos decomposition. Journal of Engineering Thermophysics, 2010, 31(3): 393-398 (in Chinese))
|
赵轲, 高正红, 黄江涛等. 基于PCE方法的翼型不确定分析及稳健设计.力学学报, 2014, 46 (1): 10-19 (Zhao Ke, Gao Zhenghong, Huang Jiangtao, et al. Uncertainty quantification and robust design of airfoil based on polynomial chaos technique. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46 (1): 10-19 (in Chinese))
|
Xiu D, Karniadakis GE. Modeling uncertainty in flow simulations via generalized polynomial chaos. Journals of Computational Physis, 2003, 187: 137-146
|
[1] | Zhong Jiawen, Zhou Shuigen, Song Jinze, Zhu Hongjun. PREDICTION OF HYDRODYNAMIC CHARACTERISTICS PARAMETERS OF THREE TANDEM CIRCULAR CYLINDERS BASED ON XGBoost-SHAP[J]. Chinese Journal of Theoretical and Applied Mechanics, 2025, 57(4): 843-853. DOI: 10.6052/0459-1879-24-493 |
[2] | Zhao Huan, Huang Yujun, Xing Haonan. ADAPTIVE SPARSE POLYNOMIAL CHAOS-BASED FLOW FIELD/SONIC BOOM UNCERTAINTY QUANTIFICATION UNDER MULTI-PARAMETER UNCERTAINTIES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(9): 2027-2042. DOI: 10.6052/0459-1879-23-122 |
[3] | Zhao Huan. ADAPTIVE MULTI-FIDELITY POLYNOMIAL CHAOS-KRIGING MODEL-BASED EFFICIENT AERODYNAMIC DESIGN OPTIMIZATION METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(1): 223-238. DOI: 10.6052/0459-1879-22-391 |
[4] | Jiang Changwei, Xie Yunfeng, Shi Er, Liu Daifei, Li Jie, Hu Zhangmao. UNCERTAINTY QUANTIFICATION FOR THERMOMAGNETIC CONVECTION OF PARAMAGNETIC FLUID IN RANDOM POROUS MEDIA BASED ON INTRUSIVE POLYNOMIAL CHAOS METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(1): 106-118. DOI: 10.6052/0459-1879-21-427 |
[5] | Wan Zhiqiang, Chen Jianbing, Michael Beer. FUNCTIONAL PERSPECTIVE OF UNCERTAINTY QUANTIFICATION FOR STOCHASTIC PARAMETRIC SYSTEMS AND GLOBAL SENSITIVITY ANALYSIS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(3): 837-854. DOI: 10.6052/0459-1879-20-336 |
[6] | Ye Kun, Ye Zhengyin, Qu Zhan, Wu Xiaojin, Zhang Weiwei. UNCERTAINTY AND GLOBAL SENSITIVITY ANALYSIS OF HYPERSONIC CONTROL SURFACE AEROTHERMOELASTIC[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(2): 278-289. DOI: 10.6052/0459-1879-14-406 |
[7] | Zhang Wei, Zhang Weiwei, Quan Jingge, Ye Zhengyin. GUST ALLEVIATION OF TRANSONIC WING[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(6): 962-969. DOI: 10.6052/0459-1879-12-087 |
[8] | Wenrui Hao Zhenzhou Lv Pengfei Wei. Importance measure of correlated variables in polynomial output[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(1): 167-173. DOI: 10.6052/0459-1879-2012-1-lxxb2011-056 |
[9] | The Study Of Aerodynamic Characteristics Of Afterbody And Effect Of Cable-Mounting[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(3): 257-264. DOI: 10.6052/0459-1879-2004-3-2002-426 |
[10] | FREQUENCY RESPONSE CHARACTERISTIC OF NONLINEAR POLYNOMIAL SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 1995, 27(3): 316-325. DOI: 10.6052/0459-1879-1995-3-1995-437 |