Abstract
On the basis of the three-wave theory and Whitham's method, the flow fields associated with regular reflection and Mach reflection in high explosives with waveshapers were investigated, and the relevant theoretical model for deriving the detonation configuration was proposed. The calculated results of pressure, flow velocity and triple point growth angle of Mach stem were presented and the Mach stem height was also determined based on the modified Whitham's method. The finite element code was used to numerically simulate the detonation processes of the high explosives with waveshapers. The shock initiation of the cylindrical charge was described by the Jones-Wilkins-Lee(JWL) and Lee-Travel models. The calculated results show that the Mach stem height increases with the propagation of detonation wave. The numerical results are consistent with the predictions based on the presented model, which shows that the analytical model provides reasonably accurate predictions of the Mach reflection process.
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