An Analytical Formulation for Pollutant Dispersion Simulation in the Atmospheric Boundary Layer

Glênio A. Gonçalves, Regis S. de Quadros, Daniela Buske

Federal University of Pelotas (UFPel), Department of Mathematics and Statistics (IFM/DME), Pelotas, Brazil..

DOI: 10.4236/jep.2013.48A1008                

Abstract

In this work we present the solution of the two-dimensional advection-diffusion equation by the GILTT method. The GILTT approach uses, in the series expansion, eigenfunctions given in terms of cosine functions. Here, a different expansion for the solution of the advection-diffusion equation will be explored. In other words, a Sturm-Liouville problem carrying more information of the original problem is considered, given by Bessel functions. Numerical simulations and comparisons with experimental data are presented.

Keywords

Analytical Solution; Advection-Diffusion Equation; Air Pollution Modeling; Integral Transform; Bessel Functions

Conflicts of Interest

The authors declare no conflicts of interest.

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