Shock-Granular Bed Interaction and Effect of Compaction Models

Shock transiting through energetic granular bed is found during operations of gun propulsion systems, actuators, pin pullers, pyrotechnic igniters, etc. The operation time of these systems are very short and study of shock interaction with the granular bed is crucial. In this paper, the effects of shock on dense granular bed like particle compaction, shock reflection, shock transmission, etc. are studied. For this study, six equation model in compressible multifluid formulation is used with and without compaction model. This model is thermodynamically consistent and unconditionally hyperbolic. This model could accurately model the propagation of pressure, velocity and density disturbances. A two-dimensional axisymmetric code is developed using this model for the study. Unstructured finite volume method with second order accurate HLLC scheme is used for spatial discretization and classical four stage Runge–Kutta method as explicit method for temporal discretization.