Numerical Simulation of the Dispersion of Pollutant in a Canal

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 fluid flow.