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Hybrid Methods in Engineering

ISSN 印刷: 1099-2391
ISSN オンライン: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v2.i1.20
15 pages

SCALAR TRANSPORT IN HETEROGENEOUS MEDIA: A SIMPLIFIED GREEN ELEMENT APPROACH

Okey Oseloka Onyejekwe
Department of Civil Engineering, University of Durban, Westvill, Durban, South Africa

要約

Modeling techniques that apply only to homogeneous systems are often too restricted to accurately describe real-life problems. For adequate and more realistic treatment, media heterogeneity should be taken into account by relaxing the general theory describing mass flow and transport in a conducting medium. In this study we use the Green element method (GEM) to study the influence of heterogeneity on scalar transport. GEM is a hybrid finite-element, boundary-element solution procedure that implements the singular boundary integral theory efficiently. Not only is the resulting coefficient matrix banded and easier to handle numerically, but heterogeneity, which poses computational problems for the classical boundary element method (BEM), is handled straightforwardly and with relative ease. The GEM computational procedure described herein, achieves the integral representation of the governing partial differential equation by the application of Green's second identity, and the resulting integral equation is represented on each element of the problem domain. To complete the methodology, the integral equations are then solved by a typical finite-element procedure to give the dependent variables of interest. All the results obtained in this study, when tested against those in the literature, were found to be close and in agreement with physics.


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