Semi-analytical solution of the steady three-dimensional advection-diffusion equation in the planetary boundary layer

• Published in: Atmospheric environment (1994) Vol. 40; no. 29; pp. 5659 - 5669
• Main Authors: Costa, C.P., Vilhena, M.T., Moreira, D.M., Tirabassi, T.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.09.2006; Elsevier Science
• Subjects: Advection-diffusion equation; Air pollution modeling; Analysis methods; Applied sciences; Atmospheric pollution; Exact sciences and technology; Mathematical modeling; Planetary boundary layer; Pollution; Semi-analytical solution; Advection-diffusion equation; Semi-analytical solution; Air pollution modeling; Mathematical modeling; Planetary boundary layer; Pollutant behavior; Advection diffusion equation; Inverse problem; Direct problem; Atmospheric boundary layer; Air pollution; Laplace transformation; Atmospheric dispersion; Analytical solution; Integral transformation
• ISSN: 1352-2310; 1873-2844
• DOI: 10.1016/j.atmosenv.2006.04.054

We present a three-dimensional solution of the steady-state advection-diffusion equation considering a vertically inhomogeneous planetary boundary layer (PBL). We reach this goal applying the generalized integral transform technique (GITT), a hybrid method that had solved a wide class of direct and inverse problems mainly in the area of heat transfer and fluid mechanics. The transformed problem is solved by the advection-diffusion multilayer model (ADMM) method, a semi-analytical solution based on a discretization of the PBL in sub-layers where the advection-diffusion equation is solved by the Laplace transform technique. Numerical simulations are presented and the performances of the solution are compared against field experiments data.