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The numerical magnetohydrodynamic (MHD) calculation of heat plasma used in heat and welding processes is described. The heat plasma is concentrated in the center area which is of low density and high electrical conductivity.

Research into estimating free surface velocity at the billet mold in magnetohydrodynamic calculation is presented. The shadow method was used to model the free surface problem in magnetohydrodynamic calculation. The free surface velocity was found to be transferred through the wall at the billet mold in the electromagnetic stirring operation.

A magnetohydrodynamic free surface calculation has been used in the design computing times are required, particularly for three-dimensional models. The shadow method, which is an approximate calculation method, uses a fixed mesh, and results show that the shape of molten metal will not collapse under gravity.