NUMERICAL SIMULATION OF THE PROPAGATION OF A SHOCK WAVE ABOVE THE DENSE LAYER OF PARTICLES USING THE BAER–NUNZIATO SYSTEM OF EQUATIONS

The paper presents the results of numerical simulation of experiments in which a shock wave of various intensity propagated over the surface of a dense layer of particles poured onto an impenetrable wall. The mathematical model is based on the two-dimensional system of Baer–Nunziato equations and takes into account intergranular stresses arising in the solid phase of particles. The computational algorithm is based on the HLLC method with a pressure relaxation procedure. The developed algorithm is efficient in the presence of strong discontinuities in the volume fraction of particles, typical for two-phase shock-wave problems associated with filling, a cloud, or a layer of particles, including locally supersonic gas flow regimes. Comparison with numerical and field experiments of other authors is carried out.