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A Numerical Treatment of Nondimensional Form of Water Quality Model in a Nonuniform Flow Stream Using Saulyev Scheme
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-06
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The stream water quality model of water quality assessment problems often involves numerical methods to solve the equations.
The governing equation of the uniform flow model is one-dimensional advection-dispersion-reaction equations (ADREs).
In this paper, a better finite difference scheme for solving ADRE is focused, and the effect of nonuniform water flows in a stream is considered.
Two mathematical models are used to simulate pollution due to sewage effluent.
The first is a hydrodynamic model that provides the velocity field and elevation of the water flow.
The second is a advection-dispersion-reaction model that gives the pollutant concentration fields after input of the velocity data from the hydrodynamic model.
For numerical techniques, we used the Crank-Nicolson method for system of a hydrodynamic model and the explicit schemes to the dispersion model.
The revised explicit schemes are modified from two computation techniques of uniform flow stream problems: forward time central space (FTCS) and Saulyev schemes for dispersion model.
A comparison of both schemes regarding stability aspect is provided so as to illustrate their applicability to the real-world problem.
American Psychological Association (APA)
Pochai, Nopparat. 2011. A Numerical Treatment of Nondimensional Form of Water Quality Model in a Nonuniform Flow Stream Using Saulyev Scheme. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-475845
Modern Language Association (MLA)
Pochai, Nopparat. A Numerical Treatment of Nondimensional Form of Water Quality Model in a Nonuniform Flow Stream Using Saulyev Scheme. Mathematical Problems in Engineering No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-475845
American Medical Association (AMA)
Pochai, Nopparat. A Numerical Treatment of Nondimensional Form of Water Quality Model in a Nonuniform Flow Stream Using Saulyev Scheme. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-475845
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475845