On the use of cyclic symmetry in SBFEM for heat transfer problems
Release Time:2019-03-09 Hits:
Indexed by: Journal Article
Date of Publication: 2014-04-01
Journal: INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
Included Journals: Scopus、EI、SCIE
Volume: 71
Page Number: 98-105
ISSN: 0017-9310
Key Words: Cyclic symmetry; Scaled boundary finite element method; Heat transfer analysis; Computational cost
Abstract: 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.