A new analytical approach to simulate the pollutant dispersion in the PBL

• Published in: Atmospheric environment (1994) Vol. 39; no. 12; pp. 2171 - 2178
• Main Authors: Wortmann, S., Vilhena, M.T., Moreira, D.M., Buske, D.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.04.2005; Elsevier Science
• Subjects: Advection–diffusion equation; Analytical solution; Applied sciences; Atmospheric dispersion; Atmospheric pollution; Exact sciences and technology; GITT; Laplace transform; Planetary boundary layer; Pollutants physicochemistry study: properties, effects, reactions, transport and distribution; Pollution; Denmark, Copenhagen; GITT; Atmospheric dispersion; Laplace transform; Advection–diffusion equation; Analytical solution; Planetary boundary layer; Advection-diffusion equation; Pollutant behavior; Troposphere; Advection diffusion equation; Modeling; Transport process; Algorithm performance; Atmospheric boundary layer; Analytical method; Air pollution; Laplace transformation; Integral transformation
• ISSN: 1352-2310; 1873-2844
• DOI: 10.1016/j.atmosenv.2005.01.003

In this work, we present a new analytical approach for the solution of the advection–diffusion equation to simulate the pollutant dispersion in the planetary boundary layer. In this method the advection–diffusion equation after transformation by a generalized integral transform is solved by the Laplace transform technique with analytical inversion and is seen to be non-Gaussian. No approximation is made in this so that an exact solution is obtained except for the round-off error. The present model has been evaluated in moderately unstable conditions using the Copenhagen experiment. The performance of the model is discussed qualitatively as well as quantitatively. The proposed model has performed very well with the data from the diffusion experiment considered.