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Transient heat conduction by the boundary element method: D‐BEM approaches
Author(s) -
Carrer J. A. M.,
Oliveira M. F.,
Vanzuit R. J.,
Mansur W. J.
Publication year - 2011
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.3269
Subject(s) - boundary element method , weighting , constant (computer programming) , thermal conduction , time domain , mathematical analysis , time derivative , heat equation , finite element method , mathematics , domain (mathematical analysis) , boundary (topology) , transient (computer programming) , boundary value problem , computer science , physics , thermodynamics , acoustics , computer vision , programming language , operating system
SUMMARY This work is concerned with the development of different domain‐BEM (D‐BEM) approaches to the solution of two‐dimensional diffusion problems. In the first approach, the process of time marching is accomplished with a combination of the finite difference and the Houbolt methods. The second approach starts by weighting, with respect to time, the basic D‐BEM equation, under the assumption of linear and constant time variation for the temperature and for the heat flux, respectively. A constant time weighting function is adopted. The time integration reduces the order of the time derivative that appears in the domain integral; as a consequence, the initial conditions are directly taken into account. Four examples are presented to verify the applicability of the proposed approaches, and the D‐BEM results are compared with the corresponding analytical solutions.Copyright © 2011 John Wiley & Sons, Ltd.