JP Journal of Heat and Mass Transfer
Volume 15, Issue 4, Pages 915 - 934
(November 2018) http://dx.doi.org/10.17654/HM015040915 |
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BEM SOLUTIONS FOR UNSTEADY TRANSPORT PROBLEMS IN ANISOTROPIC MEDIA
Moh. Ivan Azis, Laode Asrul, Khaeruddin and Paharuddin
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Abstract: A BEM solution to initial-boundary value problems governed by two-dimensional unsteady convection-diffusion equation for anisotropic media is obtained. The BEM with the time-dependent fundamental solution is used to find the solution. The results show that the anisotropy of the medium under consideration gives a certain effect on the solution. The anisotropy of the medium should take account for the implementation of the modeling and computation. Two schemes of discretized integral equations are derived in the analysis and a comparison between the accuracies of the two schemes is discussed. It is remarkable that the scheme in which the integrands are assumed to take on their values at the upper bounds of a time interval under consideration gives better results. Moreover, we study the comparison of the accuracy of the solution when the computation is performed using single time-step versus iterative multi time-steps. The results obtained show that the errors do not propagate and magnify significantly in the mode of iterative multi time-steps computation. We also consider to find the time-step of which the solution is most accurate. It turns out that for the considered examples Δt = 0.2 is the time-step for which the solution is the most accurate. |
Keywords and phrases: boundary element method, unsteady transport problems, anisotropic media. |
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