An iterative method for the solution of dispersion equation in shallow water

Abstract

In order to keep the pollution levels below permissible limits and also to forecast the final concentrations to be reached, current patterns and dispersion characteristics are required for water quality problems in lakes and coastal regions. In this case, it is necessary to solve the dispersion equations that include transport, diffusion and reaction processes to find the distribution and concentrations of pollutant. In this study, a numerical model was developed for simulating pollutant dispersion in well-mixed lakes and reservoirs. The model is based on solving dispersion equation using the Newton-Raphson algorithm and results of hydrodynamic model. The developed model can be used for long-term distribution of conservative or non-conservative pollutants in lakes and reservoirs.