ANÁLISE DE CONVERGÊNCIA DO MÉTODO GILTT PARA PROBLEMAS EM DISPERSÃO DE POLUENTES NA ATMOSFERA

2016 ◽  
Vol 38 ◽  
pp. 182 ◽  
Author(s):  
Daniela Buske ◽  
Cláudio Zen Petersen ◽  
Régis Sperotto de Quadros ◽  
Glênio Aguiar Gonçalves ◽  
Juliana Ávila Contreira
Keyword(s):  
Diffusion Equation ◽  
Convergence Analysis ◽  
Existence And Uniqueness ◽  
Analytic Solution ◽  
Pollutant Dispersion ◽  
Analytical Representation ◽  
Multidimensional Case ◽  
The Past ◽  
Advection Diffusion Equation ◽  
Advection Diffusion

In this paper, we present a convergence analysis of the GILTT method for pollutant dispersion problems consolidating the solution of the problem in analytical representation. There have been many advances in the GILTT technique over the past few years. The advection-diffusion equation was solved for the multidimensional case and applied to various situations, mainly in pollutant dispersion. The theorem of Cauchy-Kowalewsky guarantees the existence and uniqueness of an analytic solution for the advection-diffusion equation. In this paper, we present a convergence analysis for the GILTT method to pollutant dispersion problems. Numerical results are presented.

scholarly journals Simulation of three-dimensional transient pollutant dispersion in low wind conditions using the 3D-GILTT technique

2020 ◽  
Vol 5 (6) ◽  
Author(s):  
Viliam Cardoso Da Silveira ◽  
Daniela Buske ◽  
Régis Sperotto De Quadros
Keyword(s):  
Diffusion Equation ◽  
Integral Transform ◽  
Dispersion Model ◽  
Three Dimensional ◽  
Pollutant Dispersion ◽  
Transient Model ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Laplace Transform Technique ◽  
The Usa

The aim of this work is to present a transient model in low wind conditionsto simulate the pollutants dispersion in the atmosphere. The dispersion model is based in the advection-diffusion equation and it considers the zonal and meridional components of the wind. The transient advection-diffusion equation is solved using integral transform techniques. In this work, the generalized integral transform and Laplace techniques are used, known in the literature as GILTT and which applied to the three-dimensional problem is called 3D-GILTT (Three-dimensional Generalized Integral Laplace Transform Technique). To validate the model, data from INEL experiment (Idaho National Engineering Laboratory) carried out in the USA were used. The model simulates the observed concentrations in a satisfactory way and can be used for regulatory air quality applications

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