Computation of Hollow Cylinder Explosions

摘要

The report treats the explosion caused by a charge which is placed between two hollow co-axial cylinders. It is assumed that at the beginning of the motion of the cylinders the explosive has been detonated completely so that the space between the cylinders is filled by a gas under high pressure. The flow of this gas during the collapse of the inner cylinder and the expansion of the outer cylinder is governed by a quasi-linear second order partial differential equation. This equation is solved numerically using a two-level difference scheme. The solution furnishes the fragment velocities of the outer cylinder and the collapse velocity of the inner cylinder. The results are compared with experimental data and asymptotic formulae. The same computation scheme is applied to the computation of the motions of two parallel plates with a charge exploded between them. (Author)