Modeling of the interaction between an air shock wave and a porous screen

Some specific features of the reflection of air shock waves from a rigid wall coated with the layer of a porous substance is studied numerically. A mathematical two-speed model with two stress tensors that has been constructed by methods of the mechanics of multiphase media is used for studying the wave processes in saturated porous media. The numerical-modeling technique based on the Lax–Wendroff two-step scheme is developed. The processes of passage of a “ledge”-type wave through the “gas-porous medium” interface and of reflection from a rigid wall covered with a porous material are considered, the effect of the porous-medium and wave parameters on the reflection is analyzed, and the numerical results are compared with the experimental data obtained by other authors.