| 梁霄,王瑞利.基于非嵌入多项式混沌的爆轰不确定度量化[J].计算力学学报,2019,36(5):672~677 |
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| 基于非嵌入多项式混沌的爆轰不确定度量化 |
| Uncertainty quantification of detonation based on non-intrusive polynomial chaos |
| 投稿时间：2018-08-17 修订日期：2018-11-29 |
| DOI：10.7511/jslx20180817001 |
| 中文关键词: 爆轰波 非嵌入多项式混沌 圆筒试验 张量积 不确定度量化 |
| 英文关键词:detonation wave non-intrusive polynomial chaos cylindrical test tensor product uncertainty quantification |
| 基金项目:山东省自然科学基金博士基金（ZR2017BA014）；国家自然科学基金（91630312）资助项目. |
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| 中文摘要: |
| 固体炸药爆轰是极为复杂的极端物理和化学过程，发生在极小的时间尺度和极小的空间尺度内，产生极高的爆压和极快的爆速，给理论研究和实验带来巨大的挑战，数值模拟成为极为重要的研究手段。验证、确认和不确定度量化综合了实验和数值模拟的优点。针对圆筒试验问题，使用基于全张量积的多元非嵌入多项式混沌方法，给出了初始密度和JWL参数不确定时、圆筒位置和速度的期望、方差以及置信区间。结果发现试验数据均落在置信区间内。最后，使用信息熵方法给出实验不确定度量化，从而确认了模型的有效性。 |
| 英文摘要: |
| Detonation is an extreme complex physical-chemical phenomenon with high detonation pressure and tremendous detonation speed,which occurs within a tiny time duration and a very small space.It is an enormous challenge to design a proper experiment and execute an exact theoretical analysis.Verification,validation and uncertainty quantification (V&V&UQ) combines strength of the physical experiment and numerical simulation.Then the non-intrusive polynomial chaos based on full tensor product is utilized to derive the expectation,standard variance as well as confidential interval of cylindrical position and velocity for cylindrical test,when the system is disturbed by uncertain initial density and JWL parameters.We find all the experimental data falls into the confidential interval when the simulation result is compared with experimental data.At last,the information entropy theory is used to deal with the uncertainty quantification in the experiment.So the efficiency of the method is validated. |
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