Abstract
Nowadays, it becomes more and more important to calculate magneto-hydrodynamics (MHD) flows under AC (Alternating current) magnetic fields, in order to control the molten metal processing in the furnace by the electromagnetic force. In this paper, three dimensional problems for the arbitrary shape model are solved by using the hybrid FEM-BEM (hybrid finite element method-boundary element method) with the A-〓 (magnetic vector potential-electric scalar potential) method in the electromagnetic field and using the ALE-FEM (arbitrary Lagrangian Eulerian-finite element method) in the velocity field with free surface. The strong point of the ALE method is that the element itself is moved along the velocity of the fluid, and consequently, the boundary between fluid and the air is shown precisely. Using these distinct methods in each field, we can observe the complicatedly tangled physical parameters of the electromagnetic field in the cold crucible and confirm the unique shape and vibration of the surface.
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