On the use of cyclic symmetry in SBFEM for heat transfer problems

被引：25
作者：
He, Yiqian [1 ]
Yang, Haitian [1 ]
Deeks, Andrew J. [2 ]
机构：
[1] Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China
[2] Univ Durham, Sch Engn & Comp Sci, Durham DH1 3LE, England
来源：
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2014年 / 71卷
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Cyclic symmetry; Scaled boundary finite element method; Heat transfer analysis; Computational cost; FINITE-ELEMENT-METHOD; HIERARCHICAL ADAPTIVE PROCEDURE;
D O I：
10.1016/j.ijheatmasstransfer.2013.11.080
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
This paper presents a SBFEM (scaled boundary finite element method) based approach for 2-D steady-state heat transfer analysis with cyclic symmetry. The global coefficient matrices of SBFEM are proved to be block-circulant in a cyclically symmetric system, and the global quadratic eigenproblem is partitioned into a series of smaller independent sub-eigenproblems, reducing its computational cost. Numerical examples are given to illustrate the efficiency of the proposed approach. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：98 / 105
页数：8
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