scholarly journals A First Order Pertubative Analysis of the Advection-Diffusion Equation for Pollutant Dispersion in the Atmospheric Boundary Layer

2013 ◽  
Vol 3 (1) ◽  
pp. 48-55 ◽  
Author(s):  
Cláudio C. Pellegrini ◽  
Daniela Buske ◽  
Bardo E. J. Bodmann ◽  
Marco T. Vilhena
Keyword(s):  
Boundary Layer ◽  
Diffusion Equation ◽  
Atmospheric Boundary Layer ◽  
Pollutant Dispersion ◽  
First Order ◽  
Advection Diffusion Equation ◽  
Advection Diffusion

scholarly journals MODELO PARA DISPERSÃO DE POLUENTES NA ATMOSFERA COM REFLEXÃO NOS CONTORNOS ESTOCÁSTICOS

2016 ◽  
Vol 38 ◽  
pp. 342
Author(s):  
Jaqueline Fischer Loeck ◽  
Bardo Ernst Josef Bodmann ◽  
Marco Túllio Menna Barreto de Vilhena
Keyword(s):  
Experimental Data ◽  
Boundary Layer ◽  
Fourier Transform ◽  
Diffusion Equation ◽  
Atmospheric Boundary Layer ◽  
Deterministic Model ◽  
Infinite Domain ◽  
Advection Diffusion Equation ◽  
Advection Diffusion

The present work presents an analysis of the influence of stochastic components when introduced in a deterministic model. For this purpose, the advection-diffusion equation is solved via Fourier transform, which has infinite domain, and then the infinite domain is limited by reflection at the ground and at the atmospheric boundary layer limit. These reflections may be reflecting the pollutant material completely or partially. The results obtained with this model were validated with the Copenhagen experimental data.

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 Assessment of numerical schemes for solving the advection–diffusion equation on unstructured grids: case study of the Guaíba River, Brazil

2013 ◽  
Vol 20 (6) ◽  
pp. 1113-1125 ◽  
Author(s):  
F. F. Pereira ◽  
C. R. Fragoso Jr. ◽  
C. B. Uvo ◽  
W. Collischonn ◽  
D. M. L. Motta Marques
Keyword(s):  
Diffusion Equation ◽  
Unstructured Grids ◽  
Circulation Model ◽  
Mass Conservation ◽  
Upwind Scheme ◽  
Numerical Schemes ◽  
First Order ◽  
Flux Limiter ◽  
Advection Diffusion Equation ◽  
Advection Diffusion

Abstract. In this work, a first-order upwind and a high-order flux-limiter schemes for solving the advection–diffusion equation on unstructured grids were evaluated. The numerical schemes were implemented as a module of an unstructured two-dimensional depth-averaged circulation model for shallow lakes (IPH-UnTRIM2D), and they were applied to the Guaíba River in Brazil. Their performances were evaluated by comparing mass conservation balance errors for two scenarios of a passive tracer released into the Guaíba River. The circulation model showed good agreement with observed data collected at four water level stations along the Guaíba River, where correlation coefficients achieved values up to 0.93. In addition, volume conservation errors were lower than 1% of the total volume of the Guaíba River. For all scenarios, the higher order flux-limiter scheme has been shown to be less diffusive than a first-order upwind scheme. Accumulated conservation mass balance errors calculated for the flux limiter reached 8%, whereas for a first-order upwind scheme, they were close to 18% over a 15-day period. Although both schemes have presented mass conservation errors, these errors are assumed negligible compared with kinetic processes such as erosion, sedimentation or decay rates.

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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