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Steady Heat Conduction Analysis in Orthotropic Bodies by Triple-reciprocity BEM

Y. Ochiai

Computer Modeling in Engineering & Sciences 2001, 2(4), 435-446.


The boundary element method (BEM) is useful in solving the steady heat conduction problem of orthotropic bodies without heat generation. However, for cases with arbitrary heat generation, a number of internal cells are necessary. In this paper, it is shown that the problem of steady heat conduction in orthotropic bodies with heat generation can be solved without internal cells by the triple-reciprocity BEM. In this method, the distribution of heat generation is interpolated using integral equations. In order to solve the problem, the values of heat generation at internal points and on the boundary are used. Furthermore, a new interpolation method is shown to solve three-dimensional problems quickly and with a high level of accuracy.


Boundary element method, heat conduction, orthotropic body, heat generation, numerical analysis

Cite This Article

Ochiai, Y. (2001). Steady Heat Conduction Analysis in Orthotropic Bodies by Triple-reciprocity BEM. CMES-Computer Modeling in Engineering & Sciences, 2(4), 435–446.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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