APPLICATION OF THE MULTI-SCALE APPROACH FOR AIR SORBENT FILTRATION SIMULATION
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 both for the development and modernization of filters, and for optimizing maintenance. A multiscale approach is proposed for solving a complex 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 quasihydro- and quasi-gasdynamics and convection-diffusion, on the microscale are models of particles, including the molecular dynamics. The numerical implementation of the former is carried out by mesh method of the finite-volumes on unstructured meshes, and the latter, using the Verlet scheme and its generalizations. Analysis of the results of numerical experiments confirmed their reliability and theoretical validity.