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Two‐dimensional unsteady heat conduction analysis with heat generation by triple‐reciprocity BEM
Author(s) -
Ochiai Yoshihiro
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.149
Subject(s) - boundary element method , thermal conduction , reciprocity (cultural anthropology) , heat generation , heat equation , mathematical analysis , mathematics , integral equation , domain (mathematical analysis) , mechanics , thermodynamics , finite element method , physics , psychology , social psychology
If the initial temperature is assumed to be constant, a domain integral is not needed to solve unsteady heat conduction problems without heat generation using the boundary element method (BEM).However, with heat generation or a non‐uniform initial temperature distribution, the domain integral is necessary. This paper demonstrates that two‐dimensional problems of unsteady heat conduction with heat generation and a non‐uniform initial temperature distribution can be solved approximately without the domain integral by the triple‐reciprocity boundary element method. In this method, heat generation and the initial temperature distribution are interpolated using the boundary integral equation. Copyright © 2001 John Wiley & Sons, Ltd.