The uncertainty quantification of ship shock environment subjected to non-contact underwater explosion

LIANG Xiao1 CHEN Jiangtao2 WANG Ruili3 HU Xingzhi2

(1.School of Mathematics, Shandong University of Science and Technology, Qingdao, China 266590)
(2.China Aerodynamics Research and Development Centre, Mianyang, China 621000)
(3.Institute of Applied Physics and Computational Mathematics, Beijing, China 100094)

【Abstract】 Objectives To identify and quantify uncertain factors in the modeling and simulation of ships suffering a non-contact underwater explosion, we study the influence of high-dimensional random variables on the output of the system. Methods Following statistical characteristics and engineering knowledge, the lognormal distribution is used to describe uncertain physical quantity, and the Beta distribution is utilized to depict uncertain empirical parameters. Rosenblatt transformation is explored to transform these correlated random variables into Gaussian variables satisfying independent identical distribution. There are a variety of uncertain factors due to the complexity of the model. The computational efficiency is greatly improved when homogeneous Wiener chaos with quadratic adaptive basis function is used to tackle improbability propagation of these input uncertainties. Concerns over a spring device in the deck, expectation, standard deviation, confidence interval, and the probability density function of the quantity of impulsive are presented via the proposed method. Results Oscillation of the ship always exists after the arrival of a shock wave. The oscillation of the standard deviation is much more forceful than the mean value. Conclusions The results can be used to predict the impact of a detonation and provide guidance for the reinforcement ability of the ship.

【Keywords】 adaptive basis function; uncertainty quantification; non-contact underwater explosion; unitary transformation; Rosenblatt transformation; homogeneous Wiener chaos;


【Funds】 National Numerical Windtunnel Project (NNW2019ZT7-A13) Natural Science Foundation of Shandong Province (ZR2017BA014) Special Topics on Scientific Challenges (TZ2018001)

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(Translated by HAN R)


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This Article



Vol 15, No. 06, Pages 128-136

December 2020


Article Outline


  • 0 Introduction
  • 1 Mathematical-physical model
  • 2 Uncertainty mining, quantification, and propagation
  • 3 Analysis of UQ results
  • 4 Conclusions
  • References