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Numerical Treatment of a Modified MacCormack Scheme in a Nondimensional Form of the Water Quality Models in a Nonuniform Flow Stream
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-21
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Two mathematical models are used to simulate water quality in a nonuniform flow stream.
The first model is the hydrodynamic model that provides the velocity field and the elevation of water.
The second model is the dispersion model that provides the pollutant concentration field.
Both models are formulated in one-dimensional equations.
The traditional Crank-Nicolson method is also used in the hydrodynamic model.
At each step, the flow velocity fields calculated from the first model are the input into the second model as the field data.
A modified MacCormack method is subsequently employed in the second model.
This paper proposes a simply remarkable alteration to the MacCormack method so as to make it more accurate without any significant loss of computational efficiency.
The results obtained indicate that the proposed modified MacCormack scheme does improve the prediction accuracy compared to that of the traditional MacCormack method.
American Psychological Association (APA)
Pochai, Nopparat. 2014. Numerical Treatment of a Modified MacCormack Scheme in a Nondimensional Form of the Water Quality Models in a Nonuniform Flow Stream. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-459444
Modern Language Association (MLA)
Pochai, Nopparat. Numerical Treatment of a Modified MacCormack Scheme in a Nondimensional Form of the Water Quality Models in a Nonuniform Flow Stream. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-459444
American Medical Association (AMA)
Pochai, Nopparat. Numerical Treatment of a Modified MacCormack Scheme in a Nondimensional Form of the Water Quality Models in a Nonuniform Flow Stream. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-459444
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459444