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非嵌入式多项式混沌方法在电磁模型验证与确认中的应用
引用本文:伍月千,鲍献丰,周海京.非嵌入式多项式混沌方法在电磁模型验证与确认中的应用[J].北京理工大学学报,2018,38(9):946-952.
作者姓名:伍月千  鲍献丰  周海京
作者单位:北京应用物理与计算数学研究所,北京100094;中国工程物理研究院高性能数值模拟软件中心,北京100088;北京应用物理与计算数学研究所,北京100094;中国工程物理研究院高性能数值模拟软件中心,北京100088;北京应用物理与计算数学研究所,北京100094;中国工程物理研究院高性能数值模拟软件中心,北京100088
基金项目:国家自然科学基金资助项目(11671413);中国工程物理研究科学技术发展基金项目(2015B0403094)
摘    要:针对电磁模型验证与确认的量化分析方法进行研究.采用非嵌入式多项式混沌方法研究电磁模型仿真输入参数不确定引起的相关输出响应量的不确定度.在详细阐述了此方法的数学原理及实现步骤的基础上,数值结果验证了非嵌入式多项式混沌法可以为电磁模型输入参数的不确定性对响应量的影响建立一种有效的不确定度传播及量化方法.针对带孔缝结构的机箱模型,采用非嵌入式混沌多项式方法研究了电磁波入射角度的不确定性对机箱中心点电场幅值的影响,在此基础上结合特征选择评估方法(feature selective validation,FSV)依据实际测量值对此电磁模型进行度量评估,最终给出评估等级.结果表明,机箱模型的评估为优异. 

关 键 词:电磁模型  验证与确认  多项式混沌方法
收稿时间:2016/10/31 0:00:00

Non-Intrusive Polynomial Chaos Methods and its Application in Verification and Validation of Electromagnetic Models
WU Yue-qian,BAO Xian-feng and ZHOU Hai-jing.Non-Intrusive Polynomial Chaos Methods and its Application in Verification and Validation of Electromagnetic Models[J].Journal of Beijing Institute of Technology(Natural Science Edition),2018,38(9):946-952.
Authors:WU Yue-qian  BAO Xian-feng and ZHOU Hai-jing
Institution:1. Institute of Applied Physics and Computaional Mathematics, Beijing 100094, China;2. CAEP Software Center for High Performance Numerical Simulation, Beijing 100088, China
Abstract:A quantification analysis method was studied to verify and validate the electromagnetic models in this paper. Concretely, the non-intrusive polynomial chaos method was used to analyze the uncertainty response quantification of the simulation outcomes caused by the uncertainty input parameters of electromagnetic model. Based on the arithmetic and main procedures analyses, numerical experiment results confirm that the proposed method can be taken as a valuable tool to simulate the propagation of uncertainties and uncertainty quantification for electromagnetic models. Finally, taking a metallic crate with apertures as the electromagnetic model, the effect of uncertainty quantification of the incident angle input parameter on the electric field in the center of the mode was analyzed with the proposed method. Then the feature selective validation (FSV) was used to compare and evaluate the experimental and optimal simulation data, forming the evaluation grade.
Keywords:electromagnetic model  verification and validation  polynomial chaos
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