Assessment of the pollutant dispersion, linear system and stability through the application of the 3D-GILTT method in the advection-diffusion equation

Authors

DOI:

https://doi.org/10.5902/2179460X87264

Keywords:

Advection-diffusion equation, non-local turbulence closure, pollutants dispersion, analytical solution, 3D-GILTT method

Abstract

The aim of this work is to evaluate the pollutants concentration considering a transient three-dimensional model, non-local turbulence closure and the computational time to simulate the pollutants dispersion considering different methodologies to solve the linear system that is obtained by applying the 3D-GILTT method in the three-dimensional advection-diffusion equation. To validate the model, unstable tank experiment data were considered. The results show that the Gauss-Seidel method has the shortest computational time to simulate the pollutant dispersion and the model satisfactorily simulates the observed concentrations, considering and not considering the non-local turbulence closure term.

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Author Biographies

Viliam Cardoso da Silveira, Universidade Federal de Pelotas

Bachelor's degree in meteorology from the Federal University of Pelotas (2011). Master's degree in meteorology from the Federal University of Pelotas (2013). PhD in meteorology from the Federal University of Santa Maria (2017). Bachelor's degree in mathematics from the Federal University of Pelotas (2021). Master's degree in mathematical modeling from the Federal University of Pelotas (2022). He was a substitute professor at the Engineering Center of the Federal University of Pelotas (2020) and at the University of Pelotas. He is currently a professor of federal public teaching at the Federal University of Pelotas (UFPel) and a professor of public teaching in the state of Rio Grande do Sul.

Gustavo Braz Kurz, Universidade Federal de Pelotas

Graduated in Mathematics (2021) from the Federal University of Pelotas (UFPEL). Master's degree in Mathematical Modeling from UFPEL (2024), in the area of computational fluid dynamics, working with the shallow water equation. Solving these equations by means of finite elements spatially and in time using the CBS (Characteristic-Based-Split) method. PhD student in Applied Mathematics at UFRGS.

Daniela Buske, Universidade Federal de Pelotas

Holds a bachelor's degree in Mathematics from the Federal University of Santa Maria (1999), a master's degree and a PhD in Mechanical Engineering from the Federal University of Rio Grande do Sul (2004; 2008) in the area of Transport Phenomena / Dispersion of Pollutants and postdoctoral fellow at the Federal University of Rio Grande do Sul (2011) in the area of Nuclear Engineering. He completed a PhD internship in Italy at the "Istituto Di Scienze Dell'atmosfera e Del Clima Di Bologna", ISAC/CNR in Bologna. She is currently an associate professor at the Federal University of Pelotas. She participates in the Graduate Program in Mathematical Modeling and the Graduate Program in Environmental Sciences at UFPel. He has experience in the area of Geosciences and Applied Mathematics, with emphasis on Applied Mathematics / Atmospheric Physics / Transport Phenomena, working mainly on the following topics: dispersion of pollutants, mathematical modeling, atmospheric boundary layer physics, air pollution, analytical/semi-analytical solutions, integral transforms, heat and mass transfer. On the GDISPEN laboratory page, some of the research that has been developed by the researcher and the research group team are described: https://wp.ufpel.edu.br/fentransporte/ 

Régis Sperotto de Quadros, Universidade Federal de Pelotas

He holds a degree in Mathematics from the University of Passo Fundo (2000), a master's degree in Applied Mathematics from the Federal University of Rio Grande do Sul (2003), a PhD in Applied Mathematics from the Technische Universität Darmstadt in Darmstadt, Germany (2009) and a Postdoctoral Degree in Nuclear Energy from the Federal University of Rio Grande do Sul (2014). He has experience in the area of Mathematics, with emphasis on Numerical Analysis and Optimization. He is currently an associate professor in the Department of Mathematics and Statistics at the Federal University of Pelotas. On the GDISPEN laboratory page, some of the research that has been developed by the researcher and the research group team are described: https://wp.ufpel.edu.br/fentransporte/ 

Guilherme Jahnecke Weymar, Universidade Federal de Pelotas

He is currently a professor of Higher Education at the Federal University of Pelotas. PhD and MSc in Mechanical Engineering from the Federal University of Rio Grande do Sul. Degree in Mathematics from the Federal University of Pelotas. She participates in the Graduate Program in Mathematical Modeling at the Federal University of Pelotas. And he is interested in the area of mathematical physics, studying the modeling of the dispersion of pollutants.

Jonas da Costa Carvalho, Universidade Federal de Pelotas

He holds a bachelor's degree in meteorology from the Federal University of Pelotas (UFPel), a master's degree in meteorology from the University of São Paulo and a PhD in meteorology from the University of São Paulo and Istituto di Cosmo Geofisica, Turin, Italy. He was coordinator of the Graduate Program in Meteorology and Director of the Faculty of Meteorology at UFPel. He has experience in the area of Geosciences, with emphasis on Meteorology, working mainly on the following topics: Pollutant dispersion modeling, mesoscale modeling, simulation models of large eddies and solution of stochastic differential equations.

References

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Published

2024-11-07

How to Cite

Silveira, V. C. da, Kurz, G. B., Buske, D., Quadros, R. S. de, Weymar, G. J., & Carvalho, J. da C. (2024). Assessment of the pollutant dispersion, linear system and stability through the application of the 3D-GILTT method in the advection-diffusion equation. Ciência E Natura, 46(esp. 1), e87264. https://doi.org/10.5902/2179460X87264

Issue

Vol. 46 No. esp. 1 (2024): ERMAC e ENMC

Section

Special Edition 1

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