In the context of the development of a new concept of electromagnetic continuous casting of slabs, in which an alternating magnetic field (AC) with middle range frequency is combined with a continuous magnetic field (DC) in the vicinity of the mould meniscus, the study carried out by Irsid and EPM Madylam made it possible to develop numerical simulations for both the alternating and continuous magnetic fields. The calculations have been developed for the middle frequency range of alternating fields. They made it possible to correctly describe the average deformation of the free surface and the recirculation speed patterns in various AC configurations, as well as a good prediction of the damping effect of the DC magnetic field on the recirculation speed of liquid steel and the modification of the free surface deformation.