Abstract
In this thesis, we show a new FEM(finite element method)-BEM(boundary element method) analysis of molten metal under alternating currents. Nowadays, it becomes more and more important to calculate MHD(magneto-hydrodynamics) flows under AC(Alternating current) magnetic field in order to control the molten metal processing in a furnace by an electromagnetic force. A former research makes clear the three-dimensional analysis for the circulating molten metal is rarely reported even today. Therefore, we try to carry out a three-dimensional calculation with the A-φ method using hybrid FEM-BEM, the improved method of the conventional FEM, and to capture the surface shape which influences the ALE method. The numerical analysis of an electromagnetic fluid using mercury is carried out and thus we can observe the complicatedly tangled physical parameters of an electromagnetic field in the vessel. To stabilize the meniscus shape, DC magnetic field is imposed and the shape of the surface is held in this case.
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