NUMERICAL SIMULATION OF THE COMPACTION EFFECT DURING THE SHOCK WAVE–PARTICLE LAYER INTERACTION

The work presents the results of numerical simulation of the experiment (Gelfand, B. E., et al. 1989. Archivum Combustionis) on the interaction of a shock wave (SW) with a particle layer near the impermeable wall. The mathematical model is based on the solution of Baer–Nunziato (BN) system of equations and takes into account compaction of the solid phase of particles. The numerical algorithm is based on the Godunov method with the pressure relaxation procedure for the stable computation of explicit interfacial boundaries. The shape of the pressure curve obtained on the wall under particle layer is explained from the point of view of wave processes in the layer. A quantitative comparison of the experimental and simulated pressure curves is carried out. Parametric studies of the influence of compaction law parameters on the simulation results are conducted. The simulation results are quantitatively compared with the calculations (Kutushev, A. G., and D. A. Rudakov. 1993. J. Appl. Mech. Tech. Phy.) performed using the equations of R. I. Nigmatulin. Differences in the results using two models of two-phase flow are discussed.