Superposition method for the simulation of heat transfer

被引:8
作者
Jiang, Y. [1 ]
Li, Eric [2 ]
Zhang, X. Q. [1 ]
Wu, Q. G. [1 ]
Yap, Y. H. [3 ]
机构
[1] Hefei Gen Machinery Res Inst, 888 West Changjiang Rd, Hefei 230031, Anhui, Peoples R China
[2] Chinese Univ Hong Kong, Dept Mech & Automat Engn, Shatin, Hong Kong, Peoples R China
[3] Asia Pacific Pte Ltd, Brady Corp, 1 Kaki Bukit Crescent, Singapore 416236, Singapore
关键词
Superposition method; Heat transfer; Space shift; Time shift; Data map; FREE VIBRATION ANALYSIS; METHOD NS-PIM; PLATES;
D O I
10.1016/j.ijheatmasstransfer.2017.12.129
中图分类号
O414.1 [热力学];
学科分类号
摘要
Heat transfer plays a significantly important role in practical engineering. In this work, superposition method is applied to heat transfer simulation. In the superposition method, a representative element is selected. A pulse of heat is applied to the representative element to produce the data map by finite element method. The temperature history for the nodes of interest is recorded in the data map. To take the boundary effect into consideration, boundary elements are also selected to produce data maps. In the superposition method, time and space shifts are made in the data maps and the temperature increment is summed up. The temperature for the nodes of interest can be obtained. Good agreement is reached between the superposition method and the full-scale finite element method. The computational efficiency of superposition method is extremely higher than finite element simulation, especially for large-scale and long-time simulation. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码:914 / 922
页数:9
相关论文
共 16 条
[1]  
Duda J. T. P., 2006, SOLVING DIRECT INVER
[2]   COMPREHENSIVE APPROACH TO FREE VIBRATION ANALYSIS OF RECTANGULAR-PLATES BY USE OF METHOD OF SUPERPOSITION [J].
GORMAN, DJ ;
SHARMA, RK .
JOURNAL OF SOUND AND VIBRATION, 1976, 47 (01) :126-128
[3]   FREE VIBRATION ANALYSIS OF CANTILEVER PLATES BY METHOD OF SUPERPOSITION [J].
GORMAN, DJ .
JOURNAL OF SOUND AND VIBRATION, 1976, 49 (04) :453-467
[4]   A model of the electrothermal ribbon printing process [J].
Ibrahim, David N. M. ;
Cameron, Richard J. .
APPLIED MATHEMATICAL MODELLING, 2006, 30 (12) :1561-1570
[5]  
Iliescu M., 2008, NAUN INT J MATH COMP, V4, P305
[6]  
Jiang Y., SIMULATION 3 D UNPUB
[7]   A METHOD FOR COMPUTING ACOUSTIC FIELDS BASED ON THE PRINCIPLE OF WAVE SUPERPOSITION [J].
KOOPMANN, GH ;
SONG, LM ;
FAHNLINE, JB .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1989, 86 (06) :2433-2438
[8]   Experimental investigation and numerical modeling of the thermal behavior of a micro-heater [J].
Lemeunier, Franck ;
Allanic, Nadine ;
Belhabib, Sofiane ;
Mousseau, Pierre ;
Plot, Christophe .
MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS, 2016, 22 (01) :181-191
[9]   An efficient algorithm for phase change problem in tumor treatment using αFEM [J].
Li, Eric ;
Liu, G. R. ;
Tan, Vincent ;
He, Z. C. .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2010, 49 (10) :1954-1967
[10]   Modeling and simulation of bioheat transfer in the human eye using the 3D alpha finite element method (αFEM) [J].
Li, Eric ;
Liu, G. R. ;
Tan, Vincent ;
He, Z. C. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 2010, 26 (08) :955-976