Uncertainty Quantification of Detonation with High-dimensional Parameter Uncertainty

被引：0

作者：

Liang X. ^{[1
]}

Chen J. ^{[2
]}

Wang R. ^{[3
]}

机构：

[1] School of Mathematics and System Sciences, Shandong University of Science and Technology, Qingdao, 266590, Shandong

[2] China Aerodynamics Research and Development Center, Mianyang, 621000, Sichuan

[3] Institute of Applied Physics and Computational Mathematics, Beijing

来源：

Binggong Xuebao/Acta Armamentarii | 2020年 / 41卷 / 04期

关键词：

Basis pursuit; Detonation; Detonation diffraction; Non-intrusive polynomial chaos; Regression; Rosenblatt transform; Uncertainty quantification;

D O I：

10.3969/j.issn.1000-1093.2020.04.008

中图分类号：

学科分类号：

摘要：

Different types of dependent uncertainties exist in detonation system since the random vibration of physical parameters in measurement technique, and the equation of state (EOS) and the reaction rate equation are empirical modeling. And these random variables are not independent and identically distributed. Assessing the impact of these input uncertainties on the output result of system has important theoretical significance and practical value. The corner effect in detonation diffraction is studied. The non-intrusive polynomial chaos based on regression method is used for uncertainty quantification. Rosenblatt transformation is used to transform the dependent random variables into independent random variables satisfying standard uniform distribution. Under-determined linear equations are derived from the sampling method. Optimization method is chosen to solve the regression equation. The basis pursuit is applied to change the optimization problem into linear programming. The expectation and confidence interval of velocity components, horizontal positions, and pressures of two Lagrangian reference points near the corner are given by using the method mentioned. The results show that the trajectories of two Lagrangian reference points are dramatically different although they are not far from each other. It is difficult to judge the long time dynamical behavior since the uncertainty is becoming large over time. The method can also be applied to other detonation problems. © 2020, Editorial Board of Acta Armamentarii. All right reserved.

引用

页码：692 / 701

页数：9

共 28 条

[1]

Sun C.W., Wei Y.Z., Zhou Z.K., Applied Detonation Physics, (2000)

[2]

Sun J.S., Zhu J.S., Theoretical Detonation Physics, (1995)

[3]

Yun S.R., Zhao H.Y., Explosion Mechanics, (1995)

[4]

Ding G.Y., Xu G.G., 2-dimensional modeling of detonation in explosives containing aluminum, Acta Armamentarii, 15, 4, pp. 25-29, (1994)

[5]

Li D.H., Cheng X.L., Yang X.D., Et al., Numerical simulation of detonation parameters for TNT and TATB detonation products, Acta Armamentarii, 27, 4, pp. 638-642, (2006)

[6]

Wang R.L., Jiang S., Mathematical methods for uncertainty quantification in nonlinear multi-physics systems and their numerical simulations, Scientia Sinica Mathematica, 45, 6, pp. 723-738, (2015)

[7]

Wang C., Shu C.W., Progress in high-resolution numerical simulation of explosion mechanics, Chinese Science Bulletin, 60, 10, pp. 882-898, (2016)

[8]

Simon F., Guillen P., Sagaut P., Et al., A gPC-based approach to uncertain transonic aerodynamics, Computer Methods in Applied Mechanics & Engineering, 199, 17-20, pp. 1091-1099, (2010)

[9]

Sloan J., Sun Y., Carrigan C., Uncertainty quantification for discrimination of nuclear events as violations of comprehensive nuclear-test-ban treaty, Journal of Environmental Radioactivity, 155-156, pp. 130-139, (2015)

[10]

Deng X.G., Zhong W.G., Zhang L.P., Et al., Verification and validation in computational fluid dynamics, Advances in Mechanics, 37, 2, pp. 279-288, (2007)

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