Numerical routing of tracer concentrations in rivers with stagnant zones

Modeling pollution transmission in rivers is an important subject in environmental engineering studies. Numerical approaches to modeling pollution transmission in rivers are useful tools for managing the water quality. The advection-dispersion equation is the governing equation in the transport of p...

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Bibliographic Details
Published in:Water science & technology. Water supply 2017-05, Vol.17 (3), p.825-834
Main Authors: Parsaie, Abbas, Haghiabi, Amir Hamzeh
Format: Article
Language:English
Subjects:
Advection
Civil engineering
Computer simulation
Creeks & streams
Data processing
Dispersion
Environmental engineering
Environmental studies
Fractional calculus
Gene expression
Mathematical models
Modelling
Pollution
Pollution dispersion
Rivers
Simulation
Splitting
Stream flow
Studies
Tracers
Water pollution
Water quality
Water shortages
Water supply
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Summary:Modeling pollution transmission in rivers is an important subject in environmental engineering studies. Numerical approaches to modeling pollution transmission in rivers are useful tools for managing the water quality. The advection-dispersion equation is the governing equation in the transport of pollution in rivers. Recently, due to advances in fractional calculus in engineering modeling, the simulation of pollution transmission in rivers has been improved using the fractional derivative approach. In this study, by solving the fractional advection-dispersion equation (FRADE), a numerical model was developed for the simulation of pollution transmission in rivers with stagnant zones. To this purpose, both terms of the FRADE equation (advection and fractional dispersion) were discretized separately and the results were connected using a time-splitting technique. The analytical solution of a modified advection-dispersion equation (MADE) model and observed data from the Severn River in the UK were used to demonstrate the model capabilities. Results indicated that there is a good agreement between observed data, the analytical solution of the MADE model, and the results of the developed numerical model. The developed numerical model can accurately simulate the long-tailed dispersion processes in a natural river.
ISSN:1606-9749
1607-0798
DOI:10.2166/ws.2016.175