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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Coloured noise for dispersion of contaminants in shallow waters
Applied Mathematical Modelling, Volume 33, No. 2, Year 2009
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Description
In this article, we explore the application of a set of stochastic differential equations called particle model in simulating the advection and diffusion of pollutants in shallow waters. The Fokker-Planck equation associated with this set of stochastic differential equations is interpreted as an advection-diffusion equation. This enables us to derive an underlying particle model that is exactly consistent with the advection-diffusion equation. Still, neither the advection-diffusion equation nor the related traditional particle model accurately takes into account the short-term spreading behaviour of particles. To improve the behaviour of the model shortly after the deployment of contaminants, a particle model forced by a coloured noise process is developed in this article. The use of coloured noise as a driving force unlike Brownian motion, enables to us to take into account the short-term correlated turbulent fluid flow velocity of the particles. Furthermore, it is shown that for long-term simulations of the dispersion of particles, both the particle due to Brownian motion and the particle model due to coloured noise are consistent with the advection-diffusion equation. © 2008 Elsevier Inc. All rights reserved.
Authors & Co-Authors
Charles, W. M.
Tanzania, Dar es Salaam
University of Dar es Salaam
Heemink, A. W.
Netherlands, Delft
Faculteit Elektrotechniek, Wiskunde en Informatica, tu Delft
van den Berg, E.
Netherlands, Delft
Faculteit Elektrotechniek, Wiskunde en Informatica, tu Delft
Statistics
Citations: 15
Authors: 3
Affiliations: 2
Identifiers
Doi:
10.1016/j.apm.2008.01.008
ISSN:
0307904X