“…Although these technologies could form ingots with less contamination, better roughness surface, the confined shapes achieved by alternating electromagnetic fields are restricted to simple configurations, only for spherical, circular and rectangular cross-section shapes. According to the principle of electromagnetic confinement of liquid metal, more shapes may be confined or shaped, but so far only a few investigations have contributed to this important area [4][5][6]. Most works are simulations and theoretical analyses of the stability of the axisymmetric complicated shapes.…”