An analytical model with temporal variable eddy diffusivity applied to contaminant dispersion in the atmospheric boundary layer

In this work, we present a new analytical model for the prediction of pollutant dispersion in the atmospheric boundary layer incorporating either the spatial and temporal continuous dependence of the eddy diffusivity. For such, we solve the time-dependent three-dimensional advection–diffusion equation combining the Decomposition and GILTT approaches. In fact, applying the idea of Decomposition method, we reduce the advection–diffusion equation with temporal dependence of the eddy diffusivity into a set of recursive advection–diffusion equations with eddy diffusivity just depending on the spatial variable z, which is then directly solved by the GILTT method. To our knowledge this sort of model has not been part of the literature yet.