Open AccessA numerical model for pollutant distribution on a closed lagoon with inlet and outlet
Author(s) -
Zaitun,
Andi Galsan Mahie,
Khaeruddin Khaeruddin
Publication year - 2021
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/763/1/012015
Subject(s) - inlet , pollutant , advection , laplace transform , flow (mathematics) , environmental science , distribution (mathematics) , mathematics , hydrology (agriculture) , mechanics , geology , geotechnical engineering , oceanography , mathematical analysis , geometry , physics , chemistry , thermodynamics , organic chemistry
This research obtains a model of the distribution of pollutants in a closed lagoon with inlet and outlet. The model is made and solved by the DuFort-Frankel scheme. This research produces a flow equation or stream function model on the closed lagoon, stated in the 2-D Laplace equation and pollutant distribution model using a 2-D advection-diffusion equation. The DuFort-Frankel numerical modeling was carried out in two different cases of pollutants injection, namely instantaneous and continuous injection on the closed lagoon, resulted that pollutants spreading in all directions and tend to flow toward the outlet of the lagoon. The Lax-Richtmyer equivalency theorem carries out the convergence analysis of the DuFort-Frankel scheme.