COMPLEX APPROACH TO THE PROBLEM OF NUMERICAL INVESTIGATION OF THE SHOCK WAVE-DENSE PARTICLES CLOUD INTERACTION
The problem of interaction between a planar shock wave and a cloud of particles is solved using two approaches. In the first, two-dimensional (2D) gasdynamic modeling of the interaction of a planar shock wave with Mach number 1.67 with a set of cylinders is carried out. The authors' original numerical algorithm, a Cartesian grid method, is used. The set of cylinders models a dense cloud of particles with the volume fraction of 0.15. As a result of interaction, the collective reflected and transmitted waves are formed. In the second approach, the one-dimensional (1D) system of equations governing dense two-phase flows is solved. The results of 1D modeling are compared with the cross-section averaged pressure distribution obtained in the 2D calculation. The quantitative agreement is achieved. The specific features ofthe process are discussed. The idea ofa combined approach to the investigation of shock-cloud interaction has been formulated based on getting the particles' drag coefficient from the results ofmultidimensional calculations and using it in the two-phase model.