Numerical Study of Cylindrical Blast-Wave Propagation and Reflection

Abstract

The problem of an unsteady cylindrical blast-wave interaction with a e at plate is numerically investigated. The numerical simulation aims at the understanding of blast-wave propagation, ree ection, and its transition phenomenonaswellasthee owfeaturesinducedbytheblastwave.Ae fth-orderweightedessentiallynonoscillatory scheme for spatial discretization associated with a fourth-order Runge ‐Kutta method for time integration is employed for solving the two-dimensional Euler/Navier ‐Stokes equations in a e nite volume fashion. To verify the accuracy of the numerical solver developed, several problems were tested. The computed results for the test problems are shown to be accurate in comparison with experimental data. To study the e owe eld of a blast wave, theproblemofblast-wavepropagation in a freee eld isexplorede rst.Twotypesofinitial conditionsareconsidered. A contact-surface instability that developed around a contact surface was found in the problem with the e rst kind of initial condition. Next, the problem of the blast-wave interaction with the e at plate is investigated. The e ow structure of a shock-shock interaction induced by the unsteady blast wave and its evolution are studied in detail. It was found that the lower the height of burst or the higher the shock Mach number, the earlier the occurrence of the transition from a regular ree ection to a Mach ree ection and the higher the triple points.