爆炸波中的混合不确定度量化方法

计算物理 ›› 2017, Vol. 34 ›› Issue (5): 574-582.

爆炸波中的混合不确定度量化方法

梁霄^1,2, 王瑞利¹

1. 北京应用物理与计算数学研究所, 北京 100094;
2. 山东科技大学, 数学学院, 青岛 266590

收稿日期:2016-07-07 修回日期:2016-12-26 出版日期:2017-09-25 发布日期:2017-09-25
通讯作者: 王瑞利,男,研究员,研究方向:计算流体力学与应用软件研制,E-mail:wang-ruili@iapcm.ac.cn
作者简介:梁霄,男,博士,研究方向:爆轰流体力学中的不确定度量化,E-mail:mathlx@163.com
基金资助:
国家自然科学基金（11372051， 11475029和91630312）、中物院科学基金（2015B0202045）和国防科工局国防基础科研计划（C1520110002）资助项目

Mixed Uncertainty Quantification of Blast Wave Problem

LIANG Xiao^1,2, WANG Ruili¹

1. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
2. Shandong University of Science and Technology, College of Mathematics, Qingdao 266590, China

Received:2016-07-07 Revised:2016-12-26 Online:2017-09-25 Published:2017-09-25

摘要/Abstract

摘要： 将认知不确定作为外层，偶然不确定作为内层，利用混合不确定理论处理爆炸波中的不确定度问题.分别使用非嵌入多项式混沌方法（NIPC）和Dempster-Shafer理论处理偶然不确定和认知不确定，用迎风格式求解确定系统.结果表明：NIPC和Dempster-Shafer结构为模型输入参数和初边值不确定性对输出响应量的影响提供一种有效方法，对各种建模与模拟不确定性评估和确认建模与模拟具有很好的参考价值.

关键词: 建模与模拟, 非嵌入多项式混沌法(NIPC), 混合不确定度量化, Dempster-Shafer结构

Abstract: We study uncertainty in blast wave problem. Input uncertainties are characterized as aleatory and epistemic uncertainties. Mixed UQ approaches are employed. The outer level UQ is linked to epistemic uncertainty, and the inner UQ is linked to aleatory uncertainty. Non-intrusive polynomial chaos (NIPC) is utilized to cope with aleatory uncertainty. Dempster-Shafer structure is used to deal with epistemic uncertainties. Upwind scheme is used to solve corresponding deterministic system. It acquires preferably effect. It is shown that NIPC approach and Dempster-Shafer structure handles efficiently effect of initial-boundary value uncertainty and parameter uncertainty on simulation result. It is helpful in evaluating degree of confidence and validating result of modeling and simulation.

Key words: modeling and simulation, non-intrusive polynomial chaos, mixed uncertainty quantification, Dempster-Shafer structure

中图分类号:

O385

梁霄, 王瑞利. 爆炸波中的混合不确定度量化方法[J]. 计算物理, 2017, 34(5): 574-582.

LIANG Xiao, WANG Ruili. Mixed Uncertainty Quantification of Blast Wave Problem[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 34(5): 574-582.

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