Numerical modeling of dense flows of two-phase media with shock waves using two-fluid models

The multifluid mathematical model is developed for the simulation of the high-speed impact of metal plates. Each of the materials – steel, which is the material of one plate, lead, which is the material of another and ambient air – are considered to be compressible fluids. Baer-Nunziato like equations are solved. The determinative system of equations has the hyperbolic type, for its numerical solutions HLL method is used. The Statement of the problem corresponds to the natural experiment. The lead plate is thrown towards the steel one with the velocity 500 m/s. Both plates have free boundaries. In simulations the main features of the process are obtained namely the formation of shock waves, their motion towards free boundaries of the plates, their reflections as rarefaction waves, interaction of the rarefaction waves with the contact boundary of metals. The relative error of the parameters of the shock waves in comparison with the known calculated-experimental data does not exceed 7%. The estimation of the acceleration of the contact boundary of the plates after the rarefaction wave from the free surface of the steel plate passing is obtained.