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2018 Numerical Simulation of a One-Dimensional Water-Quality Model in a Stream Using a Saulyev Technique with Quadratic Interpolated Initial-Boundary Conditions
Pawarisa Samalerk, Nopparat Pochai
Abstr. Appl. Anal. 2018: 1-7 (2018). DOI: 10.1155/2018/1926519

Abstract

The one-dimensional advection-diffusion-reaction equation is a mathematical model describing transport and diffusion problems such as pollutants and suspended matter in a stream or canal. If the pollutant concentration at the discharge point is not uniform, then numerical methods and data analysis techniques were introduced. In this research, a numerical simulation of the one-dimensional water-quality model in a stream is proposed. The governing equation is advection-diffusion-reaction equation with nonuniform boundary condition functions. The approximated pollutant concentrations are obtained by a Saulyev finite difference technique. The boundary condition functions due to nonuniform pollutant concentrations at the discharge point are defined by the quadratic interpolation technique. The approximated solutions to the model are verified by a comparison with the analytical solution. The proposed numerical technique worked very well to give dependable and accurate solutions to these kinds of several real-world applications.

Citation

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Pawarisa Samalerk. Nopparat Pochai. "Numerical Simulation of a One-Dimensional Water-Quality Model in a Stream Using a Saulyev Technique with Quadratic Interpolated Initial-Boundary Conditions." Abstr. Appl. Anal. 2018 1 - 7, 2018. https://doi.org/10.1155/2018/1926519

Information

Received: 13 October 2017; Revised: 10 December 2017; Accepted: 26 December 2017; Published: 2018
First available in Project Euclid: 17 March 2018

zbMATH: 06929580
MathSciNet: MR3762135
Digital Object Identifier: 10.1155/2018/1926519

Rights: Copyright © 2018 Hindawi

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