Dust control is an important area of occupational health and safety. To evaluate the effectiveness of using a particular means of protecting against dust air pollution, it is necessary to have special calculation methods. This paper considers the construction of numerical models of aerodynamics and mass transfer, which make it possible to determine the effectiveness of using protective screens to reduce dust air pollution at industrial sites by computational experiment. The construction of numerical models is based on the integration of the fundamental equations of continuum mechanics using finite-difference schemes. The results of a computational experiment are presented.