论文:2023,Vol:41,Issue(5):987-995
引用本文:
任成坤, 熊芬芬, 王元豪, 李娜, 姜波, 郭志平. 考虑不确定性的数值模拟模型确认方法[J]. 西北工业大学学报
REN Chengkun, XIONG Fenfen, WANG Yuanhao, LI Na, JIANG Bo, GUO Zhiping. Model validation method by considering uncertainty for numerical simulation[J]. Journal of Northwestern Polytechnical University

考虑不确定性的数值模拟模型确认方法
任成坤1, 熊芬芬2, 王元豪1, 李娜1, 姜波1, 郭志平1
1. 西南技术工程研究所, 重庆 400039;
2. 北京理工大学 宇航学院, 北京 100081
摘要:
飞行器在其研发、生产和使用的整个寿命周期中都存在大量不确定性,这会导致数值模拟输出也具有不可忽视的不确定性,因此开展基于数值模拟技术的飞行器设计前必须进行模型确认。目前围绕数值模拟已开展了大量不确定性量化(uncertainty quantification,UQ)的研究工作,但是如何基于UQ的结果科学地进行模型参数修正,形成系统的数值模拟模型确认的闭环流程,构建高可信的数值模拟预测模型,还较少有研究报道。为此,提出一种考虑不确定性的数值模拟模型确认方法,发展一种基于优质小样本的模型参数修正策略,建立一套融合不确定性量化、全局灵敏度分析、参数修正的模型确认闭环流程,为构建高保真的数值模拟提供科学系统的思路,并通过翼型的仿真算例验证了该方法的有效性。
关键词:    模型确认    不确定性量化    混沌多项式    深度学习   
Model validation method by considering uncertainty for numerical simulation
REN Chengkun1, XIONG Fenfen2, WANG Yuanhao1, LI Na1, JIANG Bo1, GUO Zhiping1
1. Southwest Technology and Engineering Research Institute, Chongqing 400039, China;
2. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
Abstract:
There is a great amount of uncertainties in the whole life cycle of a flight vehicle, which can induce anon-negligible uncertainty in the numerical simulation output, then the model validation of the numerical simulation is the premise of design optimization. Lots of researches on the uncertainty quantification (UQ) of numerical simulation has been carried out. However, literature has rarely seen works about performing scientific model parameter correction by using the results of UQ and establishing a closed-loop procedure of numerical simulation model validation in a systematic way. Therefore, a numerical simulation model validation method by considering uncertainties is proposed, and a model parameter correction approach based on high-quality small samples is developed, and then a closed-loop model validation process composed by uncertainty quantification, global sensitivity analysis, and parameter correction strategy to provide a scientific and systematic procedure for constructing high-fidelity numerical simulations is established. The effectiveness and advantages of the model validation method is verified through airfoil simulation.
Key words:    model validation    uncertainty quantification    polynomial chaos    deep learning   
收稿日期: 2022-10-09     修回日期:
DOI: 10.1051/jnwpu/20234150987
基金项目: 国家自然科学基金(52175214)资助
通讯作者: 熊芬芬(1982—),北京理工大学副教授,主要从事不确定性量化、飞行器设计研究。e-mail:fenfenx@bit.edu.cn     Email:fenfenx@bit.edu.cn
作者简介: 任成坤(1994—),西南技术工程研究所工程师,主要从事飞行器设计、弹药工程研究。
相关功能
PDF(2445KB) Free
打印本文
把本文推荐给朋友
作者相关文章
任成坤  在本刊中的所有文章
熊芬芬  在本刊中的所有文章
王元豪  在本刊中的所有文章
李娜  在本刊中的所有文章
姜波  在本刊中的所有文章
郭志平  在本刊中的所有文章

参考文献:
[1] MARGHERI L, MELDI M, SALVETTI M V, et al. Epistemic uncertainties in rans model free coefficients[J]. Computers and Fluids, 2014, 102(10): 315-335
[2] XIAO H, CINNELLA P. Quantification of model uncertainty in RANS simulations: a review[J]. Progress in Aerospace Sciences, 2019, 108: 1-31
[3] XU H, QIN D, LIU C, et al. An improved dynamic model updating method for multistage gearbox based on surrogate model and sensitivity analysis[J]. IEEE Access, 2021, 9: 18527-18537
[4] 王纪森, 贾倩, 陈晨, 等. 液压管路油液流动的湍流模型参数修正研究[J]. 系统仿真学报, 2018, 30(5): 1665-1671 WANG Jisen, JIA Qian, CHEN Chen, et al. Research of turbulence model parameters correction for oil flow of pipeline[J]. Journal of System Simulation, 2018, 30(5): 1665-1671 (in Chinese)
[5] 张珍, 叶舒然, 岳杰顺, 等. 基于组合神经网络的雷诺平均湍流模型多次修正方法[J]. 力学学报, 2021, 53(6): 1532-1542 ZHANG Zhen, YE Shuran, YUE Jieshun, et al. A combined neural network and multiple modification strategy for Reynolds-averaged Navier-Stokes turbulence modeling[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021,53(6): 1532-1542 (in Chinese)
[6] CINNELLA P, DWIGHT R, EDELING W. Review of uncertainty quantification in turbulence modelling to date[C]//SIAM Uncertainty Quantification Conference, Switzerland, 2016
[7] LIU D S, LITVINENKO A, SCHILLINGS C, et al. Quantification of airfoil geometry-induced aerodynamic uncertainties-comparison of approaches[J]. SIAM/ASA Journal on Uncertainty Quantification, 2017, 5(1): 334-352
[8] LOEVEN A, BIJL H. Airfoil analysis with uncertain geometry using the probabilistic collocation method[C]//49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Schaumburg, 2008
[9] GENEVA N, ZABARAS N. Quantifying model form uncertainty in Reynolds-averaged turbulence models with Bayesian deep neural networks[J]. Journal of Computational Physics, 2019, 383: 125-147
[10] CHEN J, ZHANG C, ZHAO W, et al. A high-fidelity polynomial chaos modified method suitable for CFD uncertainty quantification[C]//Journal of Physics, 2021, 1985(1): 012042
[11] SIMPSON T, TOROPOV V, BALABANOV V, et al. Design and analysis of computer experiments in multidisciplinary design optimization: a review of how far we have come-or not[C]//12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 2008
[12] SHAN S Q, WANG G G. Metamodeling for high dimensional simulation-based design problems[J]. Journal of Mechanical Design, 2010, 132(5): 11
[13] XIU D, KARNIADAKIS G E. Modeling uncertainty in flow simulations via generalized polynomial chaos [J]. Journal of Computational Physics, 2003, 187(1):137-167
[14] 陈海, 钱炜祺, 何磊. 基于深度学习的翼型气动系数预测[J]. 空气动力学学报, 2018, 36(2): 294-299 CHEN Hai, QIAN Weiqi, HE Lei. Aerodynamic coefficient prediction of airfoils based on deep learning[J]. Acta Aerodynamica Sinica, 2018, 36(2): 294-299 (in Chinese)
[15] 熊芬芬, 杨树兴, 刘宇, 等. 工程概率不确定性分析方法[M]. 北京: 科学出版社, 2015 XIONG Fenfen, YANG Shuxing, LIU Yu, et al. Engineering probabilistic uncertainty analysis method[M]. Beijing: Science Press, 2015 (in Chinese)
[16] 熊芬芬, 陈江涛, 任成坤,等.不确定性量化的混沌多项式方法研究进展[J]. 中国舰船研究, 2021, 16(4): 18 XIONG Fenfen, CHEN Jiangtao, REN Chengkun, et al. Recent advances in polynomial chaos method for uncertainty propagation[J]. Chinese Journal of Ship Research,2021, 16(4):18 (in Chinese)
[17] WANG H, YEUNG D Y. A survey on Bayesian deep learning[J]. ACM Computing Surveys, 2020, 53(5): 1-37
[18] BLUNDELL C, CORNEBISE J, KAVUKCUOGLU K, et al. Weight uncertainty in neural network[C]//International Conference on Machine Learning, 2015: 1613-1622
[19] SNOEK J, RIPPEL O, SWERSKY K, et al. Scalable Bayesian optimization using deep neural networks[C]//International Conference on Machine Learning, 2015: 2171-2180
[20] LIU Y, CHEN W, ARENDT P, et al. Toward a better understanding of model validation metrics[J]. Journal of Mechanical Design, 2011, 133(7): 071005
[21] SUDRET B. Global sensitivity analysis using polynomial chaos expansions[J]. Reliability Engineering & System Safety, 2008, 93(7): 964-979
[22] HE X, ZHAO F, VAHDATI M. Uncertainty quantification of spalart-allmaras turbulence model coefficients for simplified compressor flow features[J]. Journal of Fluids Engineering, 2019, 142(9):36-48
[23] LADSON C L, HILL A S, JOHNSON JR W G. Pressure distributions from high Reynolds number transonic tests of an NACA 0012 airfoil in the Langley 0.3-meter transonic cryogenic tunnel[R]. NASA-TM-100527, 1987