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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Veröffentlicht in:Numerical heat transfer. Part B, Fundamentals Jg. 65; H. 2; S. 155 - 173
Hauptverfasser: Yu, Bo, Yao, Wei-An, Gao, Xiao-Wei, Gao, Qiang
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Philadelphia Taylor & Francis Group 01.02.2014
Taylor & Francis Ltd
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ISSN:1040-7790, 1521-0626
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Abstract 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.
AbstractList 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.
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. [PUBLICATION ABSTRACT]
Author Yao, Wei-An
Yu, Bo
Gao, Qiang
Gao, Xiao-Wei
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  fullname: Yao, Wei-An
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  givenname: Xiao-Wei
  surname: Gao
  fullname: Gao, Xiao-Wei
  organization: State Key Laboratory of Structural Analysis for Industrial Equipment , Dalian University of Technology
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  givenname: Qiang
  surname: Gao
  fullname: Gao, Qiang
  organization: State Key Laboratory of Structural Analysis for Industrial Equipment , Dalian University of Technology
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Snippet A combined approach of the radial integration boundary-element method (RIBEM) and the precise algorithm in the time domain is presented for solving transient...
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SubjectTerms Algorithms
Boundary element method
Heat conductivity
Heat sources
Heat transfer
Integration
Mathematical analysis
Mathematical models
Recursive
Time integration
Transient heat conduction
Title A Combined Approach of RIBEM and Precise Time Integration Algorithm for Solving Transient Heat Conduction Problems
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