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Sains Malaysiana 54(9)(2025): 2315-2326
http://doi.org/10.17576/jsm-2025-5409-17
A Numerical
Simulation of Diffusion-Convection Problems in Heterogeneous Media with a Point
Source
(Simulasi Berangka Masalah Resapan-Perolakan dalam Media Heterogen dengan Punca Titik)
IMAM
SOLEKHUDIN1,*, NOORMA YULIA MEGAWATI1,
SOLIKHATUN1, INDIRA ANGGRIANI1,2, MOHAMMAD IVAN AZIS3,
IKHA MAGDALENA4 & WIDOWATI5
1Department of Mathematics, Faculty of
Mathematics and Natural Sciences, Universitas Gadjah Mada, Yogyakarta 55281, Indonesia
Diserahkan: 3 Disember 2024/Diterima: 18 Julai 2025
Abstract
In this
paper, some time-independent diffusion-convection problems in anisotropic media
are considered. To study the problems, the governing equation of the problems
is transformed into a diffusion-convection equation in a homogeneous isotropic
media. The transformed equation with respect to transformed boundary conditions
are solved numerically using Dual Reciprocity Boundary Element Method (DRBEM).
The method is tested using several problems involving time-independent
diffusion-convection. Two of the problems are with analytical solution, and the
other problems are with point sources without known analytical solution.
Keywords:
Anisotropic media; DRBEM; point source; time-independent diffusion-convection
Abstrak
Dalam makalah ini, beberapa masalah resapan-konveksi bebas masa dalam media anisotropik dipertimbangkan. Untuk mengkaji masalah, persamaan yang mengawal masalah diubah menjadi persamaan resapan-konveksi dalam media homogen isotropik. Persamaan berkenaan dengan keadaan sempadan yang diubah diselesaikan secara berangka menggunakan Kaedah Unsur Dual Kesalingan Sempadan (DRBEM). Kaedah ini diuji menggunakan beberapa masalah yang melibatkan resapan-konveksi bebas masa. Dua daripada masalah adalah dengan penyelesaian analitik dan masalah lain adalah dengan sumber mata tanpa penyelesaian analitik yang diketahui.
Kata kunci: DRBEM; media anisotropik; resapan-konveksi bebas masa; sumber mata
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