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个人信息Personal Information
教授
博士生导师
硕士生导师
任职 : 国家重大专项专家组成员、教育部热防护专业组组长、国际华人计算力学协会理事、中国航空学会理事、中国航空学会强度与设计专业委员会委员、国际边界单元法协会会员、教育部高等学校航空航天类专业教学指导委员会委员
性别：男
毕业院校：Glasgow University
学位：博士
所在单位：力学与航空航天学院
办公地点：海宇楼403A
联系方式：0411-84706332
电子邮箱：xwgao@dlut.edu.cn
A Proper Orthogonal Decomposition Analysis Method for Multimedia Heat Conduction Problems
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论文类型：期刊论文
发表时间：2016-07-01
发表刊物：JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME
收录刊物：SCIE、EI
卷号：138
期号：7
ISSN号：0022-1481
关键字：proper orthogonal decomposition (POD); multiple media; multidomain POD (MDPOD); reduced order model (ROM); heat conduction; finite element method (FEM)
摘要：In this paper, a new proper orthogonal decomposition (POD) analysis method is proposed for numerical analysis of thermal mechanical engineering problems consisting of multiple media. After the creation of a heat conduction solution database for each medium, the "snapshot" approach of the POD technique is applied to facilitate reduced-order modeling (ROM) of the unsteady heat conduction behavior. The snapshot matrix is constructed medium by medium by collecting individual medium solutions at different instances in time through a columnwise manner. By means of expressing physical variables in terms of reduced modes at the individual medium level, a system of differential equations with respect to time is formed by utilizing the consistency conditions of the physical variables on interface boundaries. The solutions of the problem can be obtained by solving the system of equations at different time stops. Two numerical examples are given to demonstrate the efficiency of the proposed method.