BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application

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)
Muhammad Manaqib (Department of Mathematics, Faculty of Science and Technology, Universitas Islam Negeri Syarif Hidayatullah Jakarta, Indonesia)
Yoga Amanda Putra (Department of Mathematics, Faculty of Science and Technology, Universitas Islam Negeri Syarif Hidayatullah Jakarta, Indonesia)



Article Info

Publish Date
24 Aug 2026

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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Journal Info

Abbrev

barekeng

Publisher

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...