Abstract
A random walk model to describe the dispersion of pollutants in shallow water is developed. By deriving the Fokker-Planck equation, the model is shown to be consistent with the two-dimensional advection-diffusion equation with space-varying dispersion coefficient and water depth. To improve the behaviour of the model shortly after the deployment of the pollutant, a random flight model is developed too. It is shown that over long simulation periods, this model is again consistent with the advection-diffusion equation. The various numerical aspects of the implementation of the stochastic models are discussed and finally a realistic application to predict the dispersion of a pollutant in the Eastern Scheldt estuary is described.
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Heemink, A.W. Stochastic modelling of dispersion in shallow water. Stochastic Hydrol Hydraul 4, 161–174 (1990). https://doi.org/10.1007/BF01543289
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DOI: https://doi.org/10.1007/BF01543289