One-and two-dimensional numerical modelling of shock inducend transition to detonation in the condensed explosives

In this paper, the basic processes accompanying a shock initiation of a detonation have been analyzed theoretically using numerical methods. The detailed discussion of initiation of a detonation by nonstationary shock waves generated by a solid body impact or explosively driven inertial partition is presented. The physical-mathematical model applied here comprises the set of equations of gas-dynamics, the elastic-plastic, and elastic/viscous-plastic theory. The additional elements of the model are constitutive relations rendering properties of materials and semi-empirical model of chemical reactions. In order to study these problems, the time dependent one- and two-dimensional fluid-dynamic equations have been numerically integrated for specific initial conditions. One-dimensional code is based on finite difference method. The two-dimensional numerical code is based on so called free particle method (HEFP - model). One of the fundamental questions answered is whether or not a stationary detonation wave will result from the given initial parameters. The better understanding of the nonstationary phenomena has been achieved, particularly at the transient processes preceding formation of a detonation wave. A phenomenon of generation of retonation wave was explained.