scholarly journals Modelo de pluma segmento com velocidades estocásticas para dispersão atmosférica em condições de vento fraco

2020 ◽  
Vol 42 ◽  
pp. e11
Author(s):  
Camila Fávero ◽  
Glênio Aguiar Gonçalves ◽  
Daniela Buske ◽  
Régis Sperotto de Quadros ◽  
Viliam Cardoso da Silveira
Keyword(s):  
Computational Cost ◽  
Three Dimensional ◽  
Pollutant Dispersion ◽  
Wind Condition ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Laplace Transform Technique ◽  
Integral Laplace Transform ◽  
Variable Separation Method ◽  
Temporal Variable

This work presents an analytical solution for the transient three-dimensional advection-diffusion equation. This solution, obtained from a combination of the variable separation method and GILTT (Generalized Integral Laplace Transform Technique) is used to simulate the pollutant dispersion in the atmosphere. The new solution has the advantage of not requiring a numerical inversion performed in the temporal variable in works using only GILTT technique. The model was tested in low wind condition, with diffusion in transverse and longitudinal directions and stochastic speeds. Simulations were performed for the INEL experiment. The analytical character of the model makes it simple, which represents advantages in its development and implementation, as well as in the computational cost for execution.

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

scholarly journals Fenômeno de meandro do vento e a função de autocorrelação calculada com base na concentração de poluentes simulada pelo modelo transiente 3D-GILTT

2020 ◽  
Vol 42 ◽  
pp. e28
Author(s):  
Viliam Cardoso da Silveira ◽  
Daniela Buske ◽  
Régis Sperotto de Quadros ◽  
Glênio Aguiar Gonçalves ◽  
Guilherme Jahnecke Weymar
Keyword(s):  
Diffusion Equation ◽  
Dispersion Model ◽  
Three Dimensions ◽  
Horizontal Wind ◽  
Transient Model ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Laplace Transform Technique ◽  
Integral Laplace Transform ◽  
Pollutants Dispersion

The aim of this work is to present a pollutants dispersion transient model in low wind conditions to simulate the behavior of the pollutants plume in the atmosphere, considering in the model the u e v horizontal wind components simulated by the LES-PALM model. The dispersion model is based in the advection-diffusion equation and represent by this methodology the wind meandering phenomenon. The Generalized Integral Laplace Transform Technique in three dimensions (3D- GILTT) solves the transient advection-diffusion equation. The data utilized to initialize the simulations are data of the low wind INEL (Idaho National Engineering Laboratory) experiment accomplished in EUA. The results show that the dispersion model reproduces the wind meandering phenomenon, in other words, the autocorrelation function of the concentration simulated over an hour presents the negative lobule, similarly to observed lobules in the u and v wind components. Therefore, the model simulates the pollutants plume in a satisfactory way and can be used to air quality regulatory applications in low wind and wind meandering conditions.

scholarly journals A global analysis of the atmospheric pollutant modeling

2007 ◽  
Vol 22 (1) ◽  
pp. 1-9
Author(s):  
Umberto Rizza ◽  
Jonas C. Carvalho ◽  
Davidson M. Moreira ◽  
Marcelo R. Moraes ◽  
Antônio G. Goulart
Keyword(s):  
Global Analysis ◽  
Turbulent Transport ◽  
Three Dimensional ◽  
Ground Level ◽  
Lagrangian Model ◽  
Linear Superposition ◽  
Atmospheric Pollutant ◽  
Advection Diffusion Equation ◽  
Laplace Transform Technique ◽  
The Laplace Transform

In this article is carried out a comparison between Lagrangian and Eulerian modelling of the turbulent transport of pollutants within the Planetary Boundary Layer (PBL). The Lagrangian model is based on a three-dimensional form of the Langevin equation for the random velocity. The Eulerian analytical model is based on a discretization of the PBL in N sub-layers; in each of the sub-layers the advection-diffusion equation is solved by the Laplace transform technique. In the Eulerian numerical model the advective terms are solved using the cubic spline method while a Crank-Nicholson scheme is used for the diffusive terms. The models use a turbulence parameterization that considers a spectrum model, which is given by a linear superposition of the buoyancy and mechanical effects. Observed ground-level concentrations measured in a dispersion field experiment are used to evaluate the simulations.

scholarly journals NUMERICAL MODEL OF 3D MORPHODYNAMIC AFTER OFFSHORE NOURISHMENT

2011 ◽  
Vol 1 (32) ◽  
pp. 55 ◽  
Author(s):  
Masamitsu Kuroiwa ◽  
Yoko Shibutani ◽  
Yuhei Matsubara ◽  
Takayuki Kuchiishi ◽  
Mazen Abualtyef
Keyword(s):  
Numerical Model ◽  
Diffusion Equation ◽  
Suspended Sediment Concentration ◽  
Three Dimensional ◽  
Sediment Concentration ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Sand Material

A three-dimensional model of morphodynamics after offshore nourishment was developed. In the presented model, the 3D beach evolution model that is not only after nourishment but also taking into account the nourishment process of injected sand material. In order to consider the injected process of sand, the computation using the advection-diffusion equation for suspended sediment concentration was adapted in the model. The presented model was applied to an idealized beach with two groins in order to investigate the performance of the model, and then, the model was applied to a field observation result for shoreface nourishment carried out at the Egmond aan Zee in the Netherlands. Finally, the applicability of the presented model was discussed from the computed results.

An Analytical Methodology to Air Pollution Modelling in Atmosphere

2019 ◽  
Vol 396 ◽  
pp. 91-98 ◽  
Author(s):  
Régis S. Quadros ◽  
Glênio A. Gonçalves ◽  
Daniela Buske ◽  
Guilherme J. Weymar
Keyword(s):  
Analytical Solution ◽  
Diffusion Equation ◽  
Separation Of Variables ◽  
Three Dimensional ◽  
Numerical Inversion ◽  
Analytical Methodology ◽  
Air Pollution Modelling ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Using Data

This work presents an analytical solution for the transient three-dimensional advection-diffusion equation to simulate the dispersion of pollutants in the atmosphere. The solution of the advection-diffusion equation is obtained analytically using a combination of the methods of separation of variables and GILTT. The main advantage is that the presented solution avoids a numerical inversion carried out in previous works of the literature, being by this way a totally analytical solution, less than a summation truncation. Initial numerical simulations and statistical comparisons using data from the Copenhagen experiment are presented and prove the good performance of the model.

scholarly journals A New Direction in the Atmospheric Pollutant Dispersion inside the Planetary Boundary Layer

2018 ◽  
Vol 57 (1) ◽  
pp. 185-192 ◽  
Author(s):  
Davidson Moreira ◽  
Marcelo Moret
Keyword(s):  
Boundary Layer ◽  
Fractional Derivative ◽  
Planetary Boundary Layer ◽  
Atmospheric Dispersion ◽  
Gaussian Model ◽  
Pollutant Dispersion ◽  
Atmospheric Pollutant ◽  
Advection Diffusion Equation ◽  
Laplace Transform Technique ◽  
Better Than

AbstractIn this study, an analytical solution for the steady-state fractional advection–diffusion equation was obtained to simulate the atmospheric dispersion of pollutants in a vertically inhomogeneous planetary boundary layer. The authors propose a method that uses the modified generalized integral Laplace transform technique to solve the transformed problem with a fractional derivative, resulting in a more general solution. The model results were compared with the fractional Gaussian model and demonstrate that, when considering an experimental dataset under moderately unstable conditions, fractional-derivative models perform better than traditional integer-order models.

scholarly journals SOLUÇÃO DA EQUAÇÃO DE ADVECÇÃO-DIFUSÃO TRIDIMENSIONAL PELO MÉTODO GIADMT PARA DOIS TERMOS DE CONTRAGRADIENTE

2016 ◽  
Vol 38 ◽  
pp. 53
Author(s):  
Karine Rui ◽  
Camila Pinto da Costa
Keyword(s):  
Diffusion Coefficient ◽  
Diffusion Equation ◽  
Turbulent Flow ◽  
Turbulent Diffusion ◽  
Three Dimensional ◽  
Turbulent Diffusion Coefficient ◽  
Advection Diffusion Equation ◽  
Advection Diffusion

In this work, we present the resolution of the three-dimensional stationary advection-diffusion equation, through the GIADMT technique, considering the nonlocal closure for turbulent flow, using two different parameterization for the countergradient, one proposal by Cuijpers e Holtslag (1998) and another proposed by Roberti et al. (2004). The concentration of pollutants is estimated and compared with the observed data in Copenhagen experiment using different parameterization for the vertical turbulent diffusion coefficient.

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.

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