Fast and efficient analysis of transient nonlinear heat conduction problems using combined approximations (CA) method

被引：40
作者：
Feng, S. Z. [1 ]
Cui, X. Y. [2 ]
Li, A. M. [1 ]
机构：
[1] China Univ Min & Technol, Sch Mech Engn, Xuzhou 221116, Peoples R China
[2] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2016年 / 97卷
基金：
美国国家科学基金会;
关键词：
Transient heat transfer; Nonlinear; Combined approximations; STRUCTURAL-ANALYSIS; REANALYSIS APPROACH; DESIGN; BEM; PIM;
D O I：
10.1016/j.ijheatmasstransfer.2016.02.061
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The combined approximations (CA) method is very efficient and can provide high quality results, when dealing with structural optimization problems. In this study, the CA method is utilized to reduce the computational effort in transient nonlinear heat transfer analysis. In the CA approach, binomial series are used as high quality basis vectors for reduced basis expression. Transient nonlinear temperature fields are then calculated without solving complete set of nonlinear system equations. Both two-dimensional and three-dimensional numerical problems are studied to verify the accuracy and efficiency of CA method, when solving transient nonlinear heat conduction problems. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：638 / 644
页数：7
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