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

Y. He; H. Yang; A. J. Deeks

doi:10.1016/j.ijheatmasstransfer.2013.11.080

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

Journal article

Peer reviewed

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

Y. He, H. Yang and A. J. Deeks

International journal of heat and mass transfer, Vol.71, pp.98-105

2014

DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2013.11.080

Abstract

Computational cost

Cyclic symmetry

Heat transfer analysis

Scaled boundary finite element method

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.

Details

Title: On the use of cyclic symmetry in SBFEM for heat transfer problems
Authors/Creators: Y. He - Dalian University of Technology
H. Yang - Dalian University of Technology
A. J. Deeks - Durham University
Publication Details: International journal of heat and mass transfer, Vol.71, pp.98-105
Publisher: Elsevier Ltd
Identifiers: 991005546963507891
Murdoch Affiliation: Vice Chancellery
Language: English
Resource Type: Journal article

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Collaboration types: Domestic collaboration; International collaboration
Citation topics: 7 Engineering & Materials Science; 7.63 Mechanics; 7.63.1291 Fracture Mechanics
Web Of Science research areas: Engineering, Mechanical; Mechanics; Thermodynamics
ESI research areas: Engineering