A NUMERIC STUDY OF MATERIAL DISPERSION CONTROL IN A RESERVOIR FROM THREE POINTS BASES

  • Nurcahya Yulian Ashar Department of Mathematics, Faculty of Sciences and Mathematics, Universitas Diponegoro, Indonesia https://orcid.org/0000-0002-9921-5399
  • Muhammad Manaqib Department of Mathematics, Faculty of Science and Technology, Universitas Islam Negeri Syarif Hidayatullah Jakarta, Indonesia https://orcid.org/0000-0002-5439-5867
  • Yoga Amanda Putra Department of Mathematics, Faculty of Science and Technology, Universitas Islam Negeri Syarif Hidayatullah Jakarta, Indonesia https://orcid.org/0009-0000-3467-3121
DOI: https://doi.org/10.30598/barekengvol20iss4pp3067-3082
Keywords: Convection-Diffusion, Differential Equation, DRBEM, Mathematical Model

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.

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Published
2026-08-24
How to Cite
[1]
N. Y. Ashar, M. Manaqib, and Y. A. Putra, “A NUMERIC STUDY OF MATERIAL DISPERSION CONTROL IN A RESERVOIR FROM THREE POINTS BASES”, BAREKENG: J. Math. & App., vol. 20, no. 4, pp. 3067-3082, Aug. 2026.
Issue
Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application
Section
Articles

Copyright (c) 2026 Nurcahya Yulian Ashar, Muhammad Manaqib, Yoga Amanda Putra

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