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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
Muhammad Manaqib
Department of Mathematics, Faculty of Science and Technology, Universitas Islam Negeri Syarif Hidayatullah Jakarta, Indonesia
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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A NUMERIC STUDY OF MATERIAL DISPERSION CONTROL IN A RESERVOIR FROM THREE POINTS BASES Nurcahya Yulian Ashar; Muhammad Manaqib; Yoga Amanda Putra
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss4pp3067-3082

Abstract

This study aims to optimize material dispersion in a reservoir with turbulent flow using the convection-diffusion equation with three-point sources, addressing a research gap from previous studies that utilized only two sources. The Dual Reciprocity Boundary Element Method (DRBEM) is applied as a numerical solution, with flow characteristics simulated using the k-epsilon turbulence model. Ten configurations of source point positions were evaluated to determine the most effective strategy for uniform material distribution. Results demonstrate that DRBEM accurately approximates analytical solutions, with improved accuracy at higher interpolation point densities. The key finding reveals that Case 2 (vertical arrangement at the downstream side) yields the most uniform distribution, achieving ~8.53% higher uniformity compared to other cases. While limited to a specific velocity profile and boundary conditions, this research provides valuable insights for engineering applications in reservoir management by identifying optimal source placement strategies.
Co-Authors Nurcahya Yulian Ashar Yoga Amanda Putra