Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2015-01-01

Journal: FINITE ELEMENTS IN ANALYSIS AND DESIGN

Included Journals: EI、SCIE

Volume: 93

Issue: C

Page Number: 42-49

ISSN: 0168-874X

Key Words: Cyclic symmetry; Element-free Galerkin scaled boundary method; Heat transfer; Block-circulant; Partitioning algorithm

Abstract: An Element-free Galerkin scaled boundary method (EFG-SBM) based partitioning algorithm is proposed for the 2D steady-state heat transfer analysis of cyclically symmetrical structures. The eigenvalue matrices of EFG-SBM for the rotationally periodic system are proved to be block-circulant under a symmetry-adapted reference coordinate system. Furthermore, both the eigenvalue and system equations can be partitioned into a number of smaller independent problems which are solved by a partitioning algorithm. Numerical examples are given to verify the proposed algorithm in term of computing accuracy and efficiency. (C) 2014 Elsevier B.V. All rights reserved.