3D finite element method with impedance boundary condition for the modeling of molten metal shape in electromagnetic casting

The aim of this work is to analyze the interactions between the shape of a molten metal and a magnetic field distribution. We propose an iterative method to model the electromagnetic shaping of the melt. The use of impedance boundary condition in finite element method improves the calculation in high frequency configuration. The free surface is determined by equilibrium of the electromagnetic and hydrostatic pressures and implies the use of a moving FEM mesh.