Limits for detailed description of problems in continuous media mechanics and numerical algorithm for viscous gas flow simulation

A mathematical model for viscous gas flow simulation with time scales bounded by the characteristic time between molecular collisions is considered. This approach is a variant of the quasi-gasdynamic system of equations, which is based on the relationship between the kinetic and macroscopic descriptions of continuous medium motion. Based on the presented model, a numerical algorithm is constructed for modeling viscous compressible gas flows. As an example, the algorithm is used to study some features of inhomogeneous flow around a blunt body.