Numerical computation has been playing an important role in environmental problems such as atmospheric aerosol pollution and groundwater pollution. Atmospheric aerosol transport model is a complex multi-component system that involves several physical and chemical processes: emission, transport, diffusion, deposition, condensation and coagulation.

The studied area usually covers a large region.  In this talk, we present our new research results on the development of efficient numerical methods for atmospheric multi-component aerosol transport problems and the contamination fluid flows in porous media.

The developed methods can efficiently solve the multi-component aerosol transport dynamics in high-dimensional domains with a large range of aerosol concentrations and for different types of aerosols. Numerical experiment, theoretical analysis, and application show the computational efficiency of the developed methods.