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

Three-dimensional magneto-hydrodynamic model of current-conducting irradiating plasma is considered. This model lies in the basis of Eulerian (in cylindrical coordinates $r$-$\varphi$-$z$) FLUX-3D code developed in Scientific and Technical Center of RFNC-VNIIEF. Finite-difference methods of the model equation solutions using stationary regular spatial grid are described. Results of numerical 3D simulation of a multi-wire $Z$-pinch in the experiment Shot-51 at electro-physical facility $Z$ (USA) in a complete ($2\pi$) azimuth angle are presented. Computational geometry has been approximated to real configuration of the experiment, where electromagnetic energy had been supplied to a liner chamber through vacuum coaxial transmission line. Using numerical simulation the authors studied acceleration dynamic of the plasma ablated from tungsten wires depending on their quantity at initial cylindrical array. Results of 3D calculations of electromagnetic implosion process of the multi-wire $Z$-pinch at two methods of artificial perturbations imposition to plasma ablation intensity are also presented. Reasons of soft x-ray radiation pulses difference being generated in these cases are described.