Abstract <p>The results of numerical modeling of experiments conducted using proton radiography and synchrotron radiation to record the process of movement of a flow of fine metal particles in gaseous media are presented. The emission of particles occurred as a result of the impact of a shock wave on the free surface of metal samples with small-scale profiled initial disturbances. Numerical modeling was carried out using a developed model of the evolution of a particle flow in a gas medium, which is based on a model of the source of shock-wave dusting of metals, based on the physics of the Richtmyer–Meshkov instability, and the laws of fragmentation of a single liquid droplet in a gas flow. It is shown that the proposed model has good agreement with the experimental results.</p>