PRECISE INTEGRAL ALGORITHM BASED SOLUTION FOR TRANSIENT INVERSE HEAT CONDUCTION PROBLEMS WITH MULTI-VARIABLES

• Published in: Applied mathematics and mechanics Vol. 26; no. 5; pp. 555 - 562
• Main Author: 王一博 杨海天 邬瑞锋
• Format: Journal Article
• Language: English
• Published: State Key Lab of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, P.R.China 01.05.2005; Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P.R.China%Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, P.R.China
• Subjects: 半解析解; 可逆问题; 有限元; 热传导; 精确积分算法; inverse problem; multi-variables; precise integral algorithm; finite element; heat conduction
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/bf02466328

By modeling direct transient heat conduction problems via finite element method (FEM) and precise integral algorithm, a new approach is presented to solve transient inverse heat conduction problems with multi-variables. Firstly, the spatial space and temporal domain are discretized by FEM and precise integral algorithm respectively. Then, the high accuracy semi-analytical solution of direct problem can be got. Finally, based on the solution, the computing model of inverse problem and expression of sensitivity analysis are established. Single variable and variables combined identifications including thermal parameters, boundary conditions and source-related terms etc. are given to validate the approach proposed in 1-D and 2-D cases. The effects of noise data and initial guess on the results are investigated. The numerical examples show the effectiveness of this approach.