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Environmental Engineering Research 2020;26(3): 190496 DOI: https://doi.org/10.4491/eer.2019.496
Analysis of wastewater facultative pond using advection-diffusion model based on explicit finite difference method
S. Sunarsih1  , Dwi Purwantoro Sasongko2, S. Sutrisno1, Gitta Agnes Putri3, and H. Hadiyanto4
1Department of Mathematics, Faculty of Science and Mathematics, Diponegoro University, Semarang, Indonesia, 50275
2Department of Physics, Faculty of Science and Mathematics, Diponegoro University, Semarang, Indonesia, 50275
3Graduate Student in the Department of Mathematics, Faculty of Science and Mathematics, Diponegoro University, Semarang, Indonesia, 50275
4Graduate Program of Environmental Science, School of Postgraduate Studies, Diponegoro University, Semarang, Indonesia, 50241
Corresponding Author: S. Sunarsih ,Tel: +62-8112995178, Fax: +62-247648-0922, Email: narsih_pdil@yahoo.com
Received: December 12, 2019;  Accepted: June 17, 2020.
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ABSTRACT
This paper describes an advection-diffusion mathematical model in facultative ponds of different geometrical domains. The geometrical domains of the facultative ponds are the side (one-dimensional), the plane (two-dimensional), and the space (three-dimensional). The purpose of this paper is to know the numerical simulations of these three advection-diffusion models (1D, 2D, and 3D) using explicit finite difference method. Numerical simulation can be used to evaluate the distribution of pollutant concentrations. The concentration of pollutant tested was same as the concentration of biochemical oxygen demand. The result of numerical simulation showed that more complex the geometrical domain of a facultative pond, the more visible is the process of moving the mass concentration (advection) and mass spread (diffusion) in the facultative ponds.
Keywords: Advection-Diffusion Model | Explicit Finite Difference Method | Facultative Ponds | Numerical Simulation
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