Different Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution Modeling

Authors

  • Camila Pinto da Costa Departamento de Matemática e Estatística, DME - Universidade Federal de Pelotas (UFPel)
  • Karine Rui Programa de Pós-Graduação em Engenharia Mecânica, PROMEC - Universidade Federal do Rio Grande do Sul (UFRGS)
  • Léslie Darien Pérez-Fernández Departamento de Matemática e Estatística, DME - Universidade Federal de Pelotas (UFPel)

DOI:

https://doi.org/10.5540/tema.2018.019.01.43

Keywords:

Non-local closure, numerical inversion, pollutant dispersion

Abstract

In this paper, a three-dimensional solution of the steady-state advection-diffusion equation is obtained applying the Generalized Integral Advection Diffusion Multilayer Technique (GIADMT), considering non-local closure for turbulent flow. Two different parameterizations were considering for the countergradient term and different methods of numerical inversion for inverse Laplace transform. The results were compared with the experimental data of Copenhagen experiment by an evaluation of statistical indices to analyse the solution of the equation through the methods of numerical inversion. Differents parameterizations for the vertical turbulent eddy diffusivity and wind profile were utilized. The results show a good agreement with the experiment and the methods of numerical inversion for inverse Laplace transform show same efficacy.

 

 

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Published

2018-05-05

How to Cite

da Costa, C. P., Rui, K., & Pérez-Fernández, L. D. (2018). Different Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution Modeling. Trends in Computational and Applied Mathematics, 19(1), 43. https://doi.org/10.5540/tema.2018.019.01.43

Issue

Vol. 19 No. 1 (2018)

Section

Original Article

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