Pollutant dispersion modeling in lakes interconnected by channels: A solution using the Bulirsch-Stoer method

Sarah Fernanda de Almeida Martins 1, Keller Sullivan Oliveira Rocha 1 , Wanyr Romero Ferreira 1, José Helvécio Martins 1, * and Marco Aurélio Amarante Ribeiro 2

1 Engineering and Management of Process and Systems, Institute of Technological Education, Belo Horizonte, Minas Gerais, Brazil.
2 Institute of Education of Minas Gerais, Belo Horizonte, Minas Gerais, Brazil.
 
Research Article
Global Journal of Engineering and Technology Advances, 2022, 13(01), 001–011.
Article DOI: 10.30574/gjeta.2022.13.1.0164
Publication history: 
Received on 19 August 2022; revised on 24 September 2022; accepted on 26 September 2022
 
Abstract: 
This article presents a mathematical model for predicting the entry of pollutants into lakes interconnected through channels. Modeling the dynamics of pollutant dispersion in lakes was performed using three different input functions. The resulting model was solved by the Bulirsch-Stoer method, implemented to solve the system of ordinary differential equations that describe the problem, and the results were compared with data available in the literature. Practically, no differences were found between the model results and the reference data, in the simulations carried out under the same conditions. Therefore, the Bulirsch-Stoer Method can be safely used to solve this type of problem, as long as the initial conditions and the size of the integration step are adequate.
 
Keywords: 
Pollution; Modeling; Simulation; Numerical Method; Bulirsh-Stoer
 
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