A First Order Pertubative Analysis of the Advection-Diffusion Equation for Pollutant Dispersion in the Atmospheric Boundary Layer

The present discussion focuses on the dispersion of pollution plumes in the atmospheric boundary layer. From a comparison between first order perturbation theory with equivalent findings from a spectral theory approach we identify significant contributions under certain conditions filtered out by perturbation technique. To this end we make use of the Intermediate Variable Technique and simplify the three-dimensional advection-diffusion equation according to the findings of the former. Results, where certain characteristics (diffusion, advection, turbulence) are either amplified or suppressed are compared with the complete GILTT solution.