Non-intrusive polynomial chaos methods and its application in the parameters assessment of explosion product JWL
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摘要: 介绍了非嵌入多项式混沌法的数学模型，给出了非嵌入式多项式混沌法进行不确定度量化的主要步骤。采用此方法研究了平面、散心爆轰问题数值模拟中, JWL模型参数R1、R2服从均匀分布的随机变量时所引起的爆轰过程计算结果的不确度性，着重分析了爆轰传播过程中压力与密度的统计特性。研究结果表明，非嵌入式多项式混沌法可以为模型输入参数不确定性的传播对输出结果响应量的影响建立一种有效不确定度评估方法，为使用JWL模型时选取参数提供参考。
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关键词:
- 爆炸力学 /
- JWL状态方程 /
- 参数选取 /
- 非嵌入式多项式混沌法 /
- 不确定度量化
Abstract: A non-intrusive polynomial chaos method was introduced, and the main procedure of uncertainty quantification for JWL-EOS parameters was given. The method was implemented for the uncertainty quantification of the input parametersR1 and R2 of JWL-EOS to the detonation of plane and divergence. The results show that the methods of non-intrusive polynomial chaos can provide a valuable tool for the simulation of propagation of uncertainties, and uncertainty quantification for modeling and simulation in complex engineering. -
图 2 R1=4.8±0.5和R2=1.95±0.5随机抽样下物理量的期望和方差
Figure 2. Expectation and variance under the random-sample with R1=4.8±0.5 and R2=1.95±0.5
图 3 R1=7.3±0.5和R2=2.46±0.5随机抽样下物理量的期望和方差
Figure 3. Expectation and variance under the random-sample R1=7.3±0.5 and R2=2.46±0.5
图 5 R1=4.8±0.5和R2=1.95±0.5随机抽样下物理量的期望和方差
Figure 5. Expectation and variance under the random-sample R1=4.8±0.5 and R2=1.95±0.5
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