Numerical simulation of the interaction of a shock wave with a foam layer using a two-fluid approach

The article studies the applicability of the Baer–Nunziato two-fluid model to the problem of interaction of a shock wave with a foam layer. The determining system of equations is formulated. A computational algorithm based on the Harten–Lax–Van Leer scheme with contact discontinuity resolution, including phase velocity and pressure relaxation stages, is proposed and described in detail. Using the proposed computational technology, the problem of propagation of a weak perturbation in a two-phase medium is considered. The propagation velocity obtained is close to the estimate using Wood formula. The problem of the interaction of a shock wave with a foam layer near an impenetrable wall is also considered. The formulation corresponds to full-scale experiments. The nonstationary wave dynamics realized in this problem using the proposed model is described. Good qualitative and quantitative agreement is obtained between the calculation results and experimental data.