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Comparison between Eulerian and Lagrangian semi-analytical models to simulate the pollutant dispersion in the PBL
Authors:Jonas C. Carvalho  Marco T. Vilhena  Davidson M. Moreira
Affiliation:1. Universidade Luterana do Brasil, Faculdade de Engenharia Ambiental, PPGEAM, Rua Miguel, Tostes, 101, Bairro São Luiz, 92420-280, Canoas RS, Brazil;2. Universidade Federal do Rio Grande do Sul, Instituto de Matemática, Porto Alegre, RS, Brazil
Abstract: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 Picard’s 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.
Keywords:Model comparison   Lagrangian model   Eulerian model   Laplace transform technique   Picard&rsquo  s Iterative Method   Model evaluation
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