Bayesian calibration for parameters of JWL equation of state in cylinder test

Chen Hua; Zhou Haibing; Liu Guozhao; Sun Zhanfeng; Zhang Shudao

doi:10.11883/1001-1455(2017)04-0585-06

Volume 37 Issue 4

May 2017

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Chen Hua, Zhou Haibing, Liu Guozhao, Sun Zhanfeng, Zhang Shudao. Bayesian calibration for parameters of JWL equation of state in cylinder test[J]. Explosion And Shock Waves, 2017, 37(4): 585-590. doi: 10.11883/1001-1455(2017)04-0585-06

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Chen Hua, Zhou Haibing, Liu Guozhao, Sun Zhanfeng, Zhang Shudao. Bayesian calibration for parameters of JWL equation of state in cylinder test[J]. Explosion And Shock Waves, 2017, 37(4): 585-590. doi: 10.11883/1001-1455(2017)04-0585-06

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Bayesian calibration for parameters of JWL equation of state in cylinder test

doi: 10.11883/1001-1455(2017)04-0585-06

1.
Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
2.
Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, Chinese Academy of Engineering Physics, Mianyang 621999, Sichuan, China

Received Date: 2015-12-30
Rev Recd Date: 2016-04-25
Publish Date: 2017-07-25

Abstract

Abstract

Since probability distributions of input parameters are usually assigned subjectively for uncertainty quantification (UQ) in numerical simulations, the selection of distributions may have significant effect on analysis results of UQ. In this paper, to calibrate more precisely the parameters of JWL equation of state in the cylinder test, we proposed to adopt Bayesian methods that provide estimators and posterior distributions of calibration parameters. Further, we investigated the effects of model assumptions on estimators and posterior distributions of calibration parameters. Our study shows that, owing to the information of cylinder tests they contain, the posterior distributions can be used as initial probability distributions of the input parameters in UQ to reduce the epistemic uncertainty.
- uncertainty quantification,
- calibration,
- posterior distribution,
- Bayesian methods,
- JWL equation of state,
- cylinder test,
- Gaussian process

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References

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