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The simulations of induction melting and stirring of the molten metal have focused on the flows inside the bath, while the meniscus forming on the surface of the bath has been neglected. The fact of ignoring the meniscus results in ignoring a whole range of problems caused by the phenomenon, and in consequence all quantitative analyses of the processes occurring on the metal-gas interface are significantly distorted because of the underestimation of the real free surface of the metal. A tendency to ignore the meniscus in the studies on the processes of induction melting results from the complexity of the problem. In order to correctly simulate the phenomenon we are forced to make allowances for a triple coupling of magnetic field, flow velocity field of the molten metal, and shape of the bath surface. The paper presents the methodology for conducting a simulation in which such allowances are made.

A simulation of the coupled problem of magnetohydrodynamics and a free surface for liquid metals