A numerical treatment of nondimensional form of water quality model in a nonuniform flow stream using Saulyev scheme
type: Item
instance of: scholarly article
title: A numerical treatment of nondimensional form of water quality model in a nonuniform flow stream using Saulyev scheme
zbMATH Open document ID: 1235.76095
DOI: 10.1155/2011/491317
author: Nopparat Pochai
published in: Mathematical Problems in Engineering
publication date: 2012-04-03T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 76M20
zbMATH DE Number: 6021105
Wikidata QID: Q58693131
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/491317
OpenAlex ID: W2011557462
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description: scientific article; zbMATH DE number 6021105