ISSN:
1436-3259
Schlagwort(e):
advection-diffusion equation
;
random walk model
;
random flight model
;
stochastic differential equation
;
Fokker-Planck equation
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Architektur, Bauingenieurwesen, Vermessung
,
Energietechnik
,
Geographie
,
Geologie und Paläontologie
Notizen:
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.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01543289
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