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Simulation of Dispersion of Contaminants by a Model with Source or Sink Term: A Case Study

N. A. L. Mtega, Z. Mussa, W. M. Charles


A mathematical model based on the advective diffusion equation with source or sink term was developed in order to predict the spread of contaminants at Mwanza South-Saanane Island (MSSI). The model was solved using alternate direction implicit (ADI) method. Initial and boundary conditions were defined and the model was implemented in MATLAB. Simulated results were plotted against distance and comparisons were drawn with field (laboratory) measurements. Similar trends have been obtained and the results are shown in this paper.

The model is intended for prediction of the spreading nature of contaminants in shallow water areas where the effects of source (discharge) and sink (settling at bottom) are considered.


Modelling, Source/Sink term, Advective Diffusion Equation, Finite difference technique.

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