Which model is most suitable for modeling the vertical behavior (transport, motion and distribution) of CO and PM2.5 (gaseous pollutants and aerosols)?
mentions two models: FLEXPART and Carbon Tracker (CT); please see section 4 of the paper. These models are indeed very well suited to study vertical profiles of CO2 in the atmosphere.
The situation with particulate matter is much more complex and it is very difficult to find a model with complete description of all important processes. I can suggest to review the existing models presented at
Alternatively, you can start building your own models from the first principles of physics and chemistry. This route is difficult but the rewards include deep understanding and satisfaction. I will suggest to use the essential mathematical tools such as Green function and Laplace transform method in addition to the traditional approximate methods. This approach can lead to a hierarchy of models; starting from the idealized analytical models to the elaborate 3-D numerical codes.
I hope that you will enjoy both exploring the existing models and building your own systems.