Open AccessNumerical Simulation of the Dispersion of Pollutant in a Canal
Author(s) -
S. O. Gbenro,
J. N. Nchejane
Publication year - 2022
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2022/v18i430371
Subject(s) - advection , outflow , mechanics , inflow , dispersion (optics) , pollutant , diffusion , uniqueness , mixing (physics) , stability (learning theory) , finite difference , work (physics) , finite element method , environmental science , mathematics , physics , computer science , meteorology , mathematical analysis , chemistry , thermodynamics , machine learning , optics , organic chemistry , quantum mechanics
This work proposes a numerical approach to model 2D pollutant dispersion in a canal using the famous advection-reaction diffusion equations. The advection-dispersion equation model describes transport and diffusion problems as seen in mixing conservative, nonbuoyant pollutants deposited into a stream or canal. The canal consisted of a narrow channel that allows water inflow through an entry opening and outflow through an exit opening. We obtain stability conditions for finite difference schemes and show the existence and uniqueness of solutions for the finite element method. The simulations show that the concentration of pollutants in the canal is controlled by the divergence term and increases in the direction of uid ow.