An iterative Langevin solution for contaminant dispersion simulation using the Gram–Charlier PDF

Carvalho, Jonas C.; NICHIMURA, E; Vilhena, Marco T.; Moreira, Davidson Martins; Degrazia, Gervásio Annes

doi:10.1016/j.envsoft.2004.06.002

Cited by 12 publications

(12 citation statements)

References 15 publications

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“…The semi-analytical feature of this technique comes from the fact that the ordinary differential equation, in each iteration, is solved analytically. To our knowledge, this methodology was not applied in the solution of the Langevin equation except for the work of Carvalho et al [5].…”

Section: Discussionmentioning

confidence: 97%

“…An alternative method to solve the Langevin equation based on PicardÕs Iterative Method was suggested by Carvalho et al [5]. The three-dimensional Langevin equation for inhomogeneous turbulence is:…”

Section: Lagrangian Modelmentioning

confidence: 99%

“…The Lagrangian model is obtained considering the Gram-Charlier Probability Density Function (PDF) of turbulent velocity, through which Gaussian and non-Gaussian turbulence conditions can be considered. This model has been evaluated through the comparison with experimental data and results obtained by other dispersion models [5].…”

Section: Introductionmentioning

confidence: 99%

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Comparison between Eulerian and Lagrangian semi-analytical models to simulate the pollutant dispersion in the PBL

Carvalho

Vilhena

Moreira

2007

Applied Mathematical Modelling

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In this work we display a numerical comparison, under statistical and computational point of view, between semi-analytical Eulerian and Lagrangian dispersion models to simulate the ground-level concentration values of a passive pollutant released from a low height source. The Eulerian approach is based on the solution of the advection-diffusion equation by the Laplace transform technique. The Lagrangian approach is based on solution of the Langevin equation through the PicardÕs Iterative Method. Turbulence inputs are calculated according to a parameterization capable of generating continuous values in all stability conditions and in all heights of the Planetary Boundary Layer (PBL). Numerical simulations and comparisons show a good agreement between predicted and observed concentrations values. The comparison reveals the main advantages and disadvantages between the models.

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Section: Discussionmentioning

confidence: 97%

Section: Lagrangian Modelmentioning

confidence: 99%

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Comparison between Eulerian and Lagrangian semi-analytical models to simulate the pollutant dispersion in the PBL

Carvalho

Vilhena

Moreira

2007

Applied Mathematical Modelling

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“…An alternative method to solve the Langevin equation based on Picard's Iterative Method was suggested by Carvalho et al (2004). The three dimensional Langevin equation for inhomogeneous turbulence is:…”

Section: Lagrangian Modelmentioning

confidence: 99%

“…(Vilhena et al,1998;Moreira et al,1999). The second technique is based on solution of the Langevin equation through the Method of Successive Approximations or Picard's Iteration Method (Carvalho et al, 2004. Lagrangian particle models are obtained considering the Gram-Charlier Probability Density Function (PDF) of turbulent velocity, through which Gaussian and non-Gaussian turbulence conditions can be considered (Anfossi et al, 1997;Ferrero and Anfossi, 1998).…”

Section: Introductionmentioning

confidence: 99%

Evaluation of two semi-analytical techniques in air quality applications

Carvalho

Moreira

2007

Rev. bras. meteorol.

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RESUMO: AVALIAÇÃO DE DUAS TÉCNICAS SEMI-ANALÍTICAS EM APLICAÇÕES NA QUALIDADE DO AR.Neste artigo é realizada uma avaliação de duas técnicas semi-analíticas, considerando a qualidade e a exatidão destas técnicas em reproduzir valores de concentração ao nível da superfície de poluentes passivos emitidos a partir de fontes baixas e altas. A primeira técnica é um modelo Euleriano baseado na solução da equação advecção-difusão através da técnica de transformada de Laplace. A segunda é um modelo Lagrangiano baseado na solução da equação de Langevin através do Método Iterativo de Picard. Parâmetros da turbulência são calculados de acordo com uma parametrização capaz de gerar valores contínuos em todas as condições de estabilidade e em todas as alturas na camada limite planetária. Simulações numéricas e comparações mostram uma boa concordância entre valores de concentração previstos e observados. Comparações entre as duas técnicas revelam que o modelo Lagrangiano gera resultados mais precisos, mas o modelo Euleriano exige um menor tempo computacional. Palavras-chave: técnica semi-analítica, modelo Euleriano, modelo Lagrangiano, transformada de Laplace, Método Iterativo de Picard, avaliação de modelos.

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Pollutant dispersion simulation for low wind speed condition by the ILS method

Carvalho

Vilhena

2005

Atmospheric Environment

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An iterative Langevin solution for contaminant dispersion simulation using the Gram–Charlier PDF

Cited by 12 publications

References 15 publications

Comparison between Eulerian and Lagrangian semi-analytical models to simulate the pollutant dispersion in the PBL

Comparison between Eulerian and Lagrangian semi-analytical models to simulate the pollutant dispersion in the PBL

Evaluation of two semi-analytical techniques in air quality applications

Pollutant dispersion simulation for low wind speed condition by the ILS method

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