Application of the multiscale approach to simulation of air sorbent filtration

The problem of numerical modeling air filtration by granular sorbents is considered. The task of cleaning air is relevant for industrial purification from harmful products of manufacturing, as well as for household cleaning air. Mathematical modeling can be useful for both development and modernization of filters and for optimizing maintenance. A multiscale approach is proposed for solving a compound filtration problem in real geometry conditions. It is based on the method of splitting into physical processes and space-time scales. The basic models on the macroscale are the equations of quasi-hydro- and quasi-gasdynamics and convection–diffusion equations, while, on the microscale, models of particles, including molecular dynamics, are used. The numerical implementation of the former is based on the finite-volume method on unstructured meshes, and the latter are implemented using the Verlet scheme and its generalizations. An analysis of the results of numerical experiments confirmed their reliability and theoretical validity.