A Combined Approach of RIBEM and Precise Time Integration Algorithm for Solving Transient Heat Conduction Problems

A combined approach of the radial integration boundary-element method (RIBEM) and the precise algorithm in the time domain is presented for solving transient heat conduction problems with heat sources. First, by expanding physical quantities at discrete time intervals, the recursive formulations of...

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Bibliographic Details
Published in:Numerical heat transfer. Part B, Fundamentals Vol. 65; no. 2; pp. 155 - 173
Main Authors: Yu, Bo, Yao, Wei-An, Gao, Xiao-Wei, Gao, Qiang
Format: Journal Article
Language:English
Published: Philadelphia Taylor & Francis Group 01.02.2014
Taylor & Francis Ltd
Subjects:
Algorithms
Boundary element method
Heat conductivity
Heat sources
Heat transfer
Integration
Mathematical analysis
Mathematical models
Recursive
Time integration
Transient heat conduction
ISSN:1040-7790, 1521-0626
Online Access:Get full text
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Summary:A combined approach of the radial integration boundary-element method (RIBEM) and the precise algorithm in the time domain is presented for solving transient heat conduction problems with heat sources. First, by expanding physical quantities at discrete time intervals, the recursive formulations of the governing equation are derived. Then, the recursive equation is solved by the RIBEM. Finally, a self-adaptive check technique is carried out to estimate how many expansion terms are needed in a time-step size. Numerical results show that the present approach can obtain satisfactory performance.
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ISSN:1040-7790
1521-0626
DOI:10.1080/10407790.2013.846720