| Title | Uncertainty Quantification of Detonation with High-dimensional Parameter Uncertainty 高维参数不确定爆轰的不确定度量化 |
| Creator | |
| Date Issued | 2020-04-01 |
| Source Publication | Binggong Xuebao/Acta Armamentarii
 |
| ISSN | 1000-1093 |
| Volume | 41Issue:4Pages:692-701 |
| Abstract | 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. |
| Keyword | Basis pursuit Detonation Detonation diffraction Non-intrusive polynomial chaos Regression Rosenblatt transform Uncertainty quantification |
| DOI | 10.3969/j.issn.1000-1093.2020.04.008 |
| URL | View source |
| Language | 中文Chinese |
| Scopus ID | 2-s2.0-85084790492 |
| Citation statistics |
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| Document Type | Journal article |
| Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/10717 |
| Collection | Research outside affiliated institution |
| Corresponding Author | Wang，Ruili |
| Affiliation | 1.School of Mathematics and System Sciences,Shandong University of Science and Technology,Qingdao,266590,China 2.China Aerodynamics Research and Development Center,Mianyang,621000,China 3.Institute of Applied Physics and Computational Mathematics,Beijing,100094,China |
| Recommended Citation GB/T 7714 | Liang，Xiao,Chen，Jiangtao,Wang，Ruili. Uncertainty Quantification of Detonation with High-dimensional Parameter Uncertainty 高维参数不确定爆轰的不确定度量化[J]. Binggong Xuebao/Acta Armamentarii, 2020, 41(4): 692-701. |
| APA | Liang，Xiao, Chen，Jiangtao, & Wang，Ruili. (2020). Uncertainty Quantification of Detonation with High-dimensional Parameter Uncertainty 高维参数不确定爆轰的不确定度量化. Binggong Xuebao/Acta Armamentarii, 41(4), 692-701. |
| MLA | Liang，Xiao,et al."Uncertainty Quantification of Detonation with High-dimensional Parameter Uncertainty 高维参数不确定爆轰的不确定度量化". Binggong Xuebao/Acta Armamentarii 41.4(2020): 692-701. |
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