| 三维Boussinesq方程有限元格式的POD降维模型 |
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| 引用本文： | 杜娟,F.Fang,罗振东,朱江.三维Boussinesq方程有限元格式的POD降维模型[J].北京交通大学学报(自然科学版),2011,35(3). |
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| 作者姓名： | 杜娟 F.Fang 罗振东 朱江 |
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| 作者单位： | 北京交通大学理学院,北京,100044;帝国理工大学应用建模与计算小组,伦敦SW72AZ;中国科学院大气物理研究所,北京,100029 |
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| 基金项目： | 国家自然科学基金资助项目(10871022,11061009,40821092); 河北省自然科学基金资助项目(A2010001663) |
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| 摘 要： | 针对帝国理工大学三维海洋模型(Boussinesq方程)的无结构有限元格式,用特征正交分解方法(POD)得到了降维模型.并且给出了POD降维模型的误差估计.最后,通过数值算例验证了POD方法的可行性和有效性.
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| 关 键 词： | Boussinesq方程 特征正交分解(POD) 有限元格式 降维模型 数值模拟 |
Reduced order modeling based on POD for finite element scheme of 3-D Boussinesq equations |
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| DU Juan,FANG Fangxin,LUO Zhendong,ZHU Jiang.Reduced order modeling based on POD for finite element scheme of 3-D Boussinesq equations[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,2011,35(3). |
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| Authors: | DU Juan FANG Fangxin LUO Zhendong ZHU Jiang |
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| Institution: | DU Juan1,FANG Fangxin2,LUO Zhendong1,ZHU Jiang3(1.School of Science,Beijing Jiaotong University,Beijing 100044,China,2.AMCG,Imperial College,London SW7 2AZ,UK,3.Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China) |
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| Abstract: | Article,a reduced order finite elements cheme based on proper orthogonal decomposition(POD) for Imperial College Ocean Model(ICOM) is presented.The error estimates between the usual finite element solution and the reduced order POD solution are derived.Finally,some examples of numerical simulation are presented to demonstrate the consistency of the numerical and theoretical results,and the feasibility of the POD method. |
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| Keywords: | Boussinesq equation proper orthogonal decomposition(POD) finite element reduced order modeling numerical simulation |
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