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

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.