A new approach to solve the time-dependent three-dimensional advection-diffusion equation applied to model air pollution dispersion in the planetary boundary layer
International Journal of Development Research
A new approach to solve the time-dependent three-dimensional advection-diffusion equation applied to model air pollution dispersion in the planetary boundary layer
Received 25th February, 2018; Received in revised form 04th March, 2018; Accepted 17th April, 2018; Published online 31st May, 2018
Copyright © 2018, Glênio A. Gonçalves et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this work we present an analytical solution for the time-dependent three-dimensional advection-diffusion equation to simulate the pollutant dispersion in the Planetary Boundary Layer (PBL). In this new approach the advection-diffusion equation is solved using a combination of the separation of variables and GILTT methods. The great advantage is that, by this way, we avoid the numerical inversion done in the previous works in literature using the GILTT method. We also report numerical simulations and statistical comparison with experimental data available in the literature.
