TITLE:
Air Pollution Steady-State Advection-Diffusion Equation: The General Three-Dimensional Solution
AUTHORS:
Daniela Buske, Marco Túllio Vilhena, Tiziano Tirabassi, Bardo Bodmann
KEYWORDS:
Advection-Diffusion Equation; Analytical Solution; Laplace Transform; Air Pollution Modeling; Atmospheric Boundary Layer; Eulerian Models
JOURNAL NAME:
Journal of Environmental Protection,
Vol.3 No.9A,
September
27,
2012
ABSTRACT: Atmospheric air pollution turbulent fluxes can be assumed to be proportional to the mean concentration gradient. This assumption, along with the equation of continuity, leads to the advection-diffusion equation. Many models simulating air pollution dispersion are based upon the solution (numerical or analytical) of the advection-diffusion equation as- suming turbulence parameterization for realistic physical scenarios. We present the general steady three-dimensional solution of the advection-diffusion equation considering a vertically inhomogeneous atmospheric boundary layer for arbitrary vertical profiles of wind and eddy-diffusion coefficients. Numerical results and comparison with experimental data are shown.