|Stochastic modelling of dispersion in shallow water|
Heemink, A.W. (1990). Stochastic modelling of dispersion in shallow water. Stochastic Hydrology and Hydraulics 4(3): 161-174
In: Stochastic Hydrology and Hydraulics. Springer: Berlin. ISSN 0931-1955, more
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.