Reflection of detonation wave from the symmetry plane within a cylindrical target for controlled thermonuclear fusion

An axisymmetric collision problem for two identical detonation waves traveling towards each other within a preliminary compressed small target consisting of a cylinder filled with fuel consisting of equimolar mixture of deuterium and tritium surrounded by a golden shell and ignited by a proton beam from the cylinder ends is considered. The reflection of the arising nonstationary spatial detonation wave from the symmetry plane is studied. The dependence on time of some characteristics of the flow is discussed. An approximate model of burn that makes it possible to calculate the fuel burn-up factor between the reflected detonation wave and the symmetry plane after the forced termination of the two-dimensional computation due, in particular, to the instability of the fuel–shell interface is developed. The role of two possible mechanisms of the interface instability is studied–its impulse acceleration by the detonation wave (Richtmyer–Meshkov instability) and high-speed fuel sliding along the interface (Kelvin–Helmholtz instability).