Uncertainty Quantification of Detonation with High-dimensional Parameter Uncertainty

doi:10.3969/j.issn.1000-1093.2020.04.008

Abstract

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. Key

Key words: detonation, uncertaintyquantification, basispursuit, non-intrusivepolynomialchaos, detonationdiffraction, regression, Rosenblatttransform

CLC Number:

O381

LIANG Xiao, CHEN Jiangtao, WANG Ruili. Uncertainty Quantification of Detonation with High-dimensional Parameter Uncertainty[J]. Acta Armamentarii, 2020, 41(4): 692-701.

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第41卷第4期2020 年4月
兵工学报ACTA ARMAMENTARII
Vol.41No.4Apr.2020

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