Numerical Simulation of the Interaction of a Shock Wave with a Dense Layer of Particles

A numerical simulation of a nonstationary flow of a gas containing inert particle in a shock tube has been perfumed on the basis of the model of mutually penetrating continua, in which the gaseous and dispersed phases are defined by sets of mass, momentum, and energy conservation equations and the equation for the evolution of the dispersed-phase volume fraction. The main equations are hyperbolic, and they are solved using the Godunov-type method of increased accuracy. The shock-wave structure of the gas flow in the working section of the shock tube and the space and time dependences of this flow were determined. The numerical-simulation results are compared with available experimental and calculation data.