This paper is devoted to the topic of dust entrainment behind shock waves. Although this topic has been researched vigorously in recent years, it has still not been established what mechanism is responsible for the creation of dust cloud, although some theories have been proposed. During this research different types of models were considered and two of them, namely the Eulerian-Eulerian and the Eulerian-Lagrangian were used in two-dimensional domain. The advantage of the latter type of model was the possibility of taking into account both gas-particle and inter-particle collisions. The results of the simulations are shown mainly graphically, as snapshots of particle positions at given times after passing of the shock wave. A comparison between the two types of models was performed and the main conclusion is that the Eulerian-Lagrangian approach led to results that better corresponded to experimental observations. The reason was the fact that the collisions, considered only in the Eulerian-Lagrangian approach, influenced the process significantly. (c) 2005 Elsevier Ltd. All rights reserved.