Three-dimensional simulation of magneto-hydrodynamic implosion of multi-wire cylindrical liners by the FLUX-3D code

A three-dimensional magneto-hydrodynamic model of conductive radiating plasma, underlying the Euler (in the cylindrical coordinates r-φ-z) program code FLUX-3D, developed at the Russian Federal Nuclear Center VNIIEF, is presented. Finite-difference methods for solving the equations of the model on a stationary regular spatial grid are described. Results of numerical 3D simulation of a multi-wire Z-pinch in conditions of the Shot-51 experiment on electrophysical facility Z (USA) in the full (2π) azimuth angle are presented. The computation geometry has been approximated to the real experimental configuration, in which the electromagnetic energy was supplied to the chamber by a vacuum coaxial transmission line. In the numerical simulation, the dynamics of the acceleration of plasma ablated from tungsten wires as a function of the number of wires in the initial cylindrical assembly was studied. In addition, results of 3D calculations of the current implosion of multi-wire Z-pinch for two kinds of artificial perturbations on the plasma ablation intensity are presented. The reasons of the difference in the soft X-ray radiation pulses generated in these cases are discussed.