One-dimensional simulation of the pollutants dispersion in the atmosphere taking into account the turbulence nonlocal closure

Authors

DOI:

https://doi.org/10.5902/2179460X66657

Keywords:

Diffusion equation, GILTT technique, Nonlocal closure, Pollutants dispersion

Abstract

The aim of this work is to evaluate the pollutants dispersion in the atmosphere, considering the diffusion equation, turbulencenonlocal closure term and the vertical component of the mean wind. To solve the diffusion equation will be utilized the generalizedintegral transform technique with analytical solution of the transformed problem by Laplace transform. The results are in agreementwith the literature and the concentration presents one peak at the initial time and then decreases and becomes homogeneous. Theinclusion of the w term causes an ascending or descending behavior of the pollutants plume, depending if the term is positiveor negative. The present model presents the behavior expected of the pollutant plume and can be used for air quality regulatoryapplications.

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Author Biographies

Viliam Cardoso da Silveira, Universidade Federal de Pelotas, Pelotas, RS

Possui graduação e mestrado em Meteorologia pela Universidade Federal de Pelotas (UFPel) e doutorado em Meteorologia pela Universidade Federal de Santa Maria (UFSM). Pós-doutorando em Modelagem Matemática e licenciando em Matemática na UFPel. Tem experiêcia nas áreas de micrometeorologia e modelagem atmosférica.

Lucas Tadeo, Universidade Federal de Pelotas, Pelotas, RS

Possui graduação em Meteorologia pela Universidade Federal de Pelotas (UFPel) e atualmente é mestrando no Programa de Pós-Graduação em Modelagem Matemática da UFPel. 

 

Lucas da Costa Berna, Universidade Federal de Pelotas, Pelotas, RS

Graduando em Meteorologia e bolsista de Iniciação Científica do Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq). 

 

Daniela Buske, Universidade Federal de Pelotas, Pelotas, RS

Possui graduação em Matemática pela Universidade Federal de Santa Maria (UFSM) com mestrado e doutorado em Engenharia Mecânica pela Universidade Federal do Rio Grande do Sul (UFRGS). Professora do Instituto de Física e Matemática da Universidade Federal de Pelotas. Tem experiência na área de modelagem matemática.

 

References

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BUSKE, D., VILHENA, M. T., MOREIRA, D. M., TIRABASSI, T. (2007b). An analytical solution of the advection-diffusion equationconsidering non-localturbulence closure. Environmental Fluid Mechanics (Dordrecht), 7, 43–54.

BUSKE, D., VILHENA, M. T., TIRABASSI, T., BODMANN, B. (2012). Air pollution steady-state advectiondiffusion equation: the generalthree-dimensional solution. Journal of Environmental Protection(Print), 3, 1124–1134.

DEGRAZIA, G. A., VELHO, H. F. C., CARVALHO, J. C. (1997). Nonlocal exchange coefficients for the convective boundary layer derivedfrom spectral properties. Contributions to Atmospheric Physics, pp. 57–64.

DEGRAZIA, G. A., MOREIRA, D. M., VILHENA, M. T. (2001). Derivation of an eddy diffusivity depending on source distance forvertically inhomogeneous turbulence in a convective boundary layer. Journal of Applied Meteorology, pp. 1233–1240.

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MANGIA, C., MOREIRA, D. M., SCHIPA, I., DEGRAZIA, G. A., TIRABASSI, T., RIZZA, U. (2002). Evaluation of a new eddy diffusivityparametrisation from turbulent eulerian spectra in different stability conditions. Atmospheric Environment, 36, 67–76.

MOREIRA, D. M., VILHENA, M. T., BUSKE, D., TIRABASSI, T. (2009). The state-of-art of the giltt method to simulate pollutant dispersionin the atmosphere. Atmospheric Research, 92, 1–17.

WYNGAARD, J. C., WEIL, J. C. (1991). Transport asymmetry in skewed turbulence. Physics Fluids A, 3, 155–162.

Published

2021-11-08 — Updated on 2022-07-14

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How to Cite

Silveira, V. C. da, Tadeo, L., Berna, L. da C., & Buske, D. (2022). One-dimensional simulation of the pollutants dispersion in the atmosphere taking into account the turbulence nonlocal closure. Ciência E Natura, 43, e10. https://doi.org/10.5902/2179460X66657 (Original work published November 8, 2021)

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