A numerical model for pollutant distribution on a closed lagoon with inlet and outlet

Abstract

Abstract 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.

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