A numerical method for the analysis of dispersion of pollutants in a one-dimensional rectangular estuary within a tidal cycle is presented. The finite-difference method is used to obtain a solution for the partial differential equation. An explicit scheme using multi-step procedure is adopted for solving the problem. It is shown that an analytical method is capable of predicting the dispersion of a slug load in the estuary as long as the effect due to the open boundary is negligible. However, the finite-difference method is required to study the dispersion effect of a continuous or variable pollutant source subjected to variable tidal velocity. The model developed is also applied in determining the effect of salinity intrusion within a tidal cycle due to different fresh water flows.
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Y. S. Sin; Finite-Difference Modelling for a One-Dimensional Rectangular Estuary. Water Sci Technol 1 November 1992; 26 (9-11): 2591–2594. doi: https://doi.org/10.2166/wst.1992.0795
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