1989 年 29 巻 12 号 p. 993-1005
Closed form solutions as well as Finite Element, Volume Integral and Boundary Integral numerical methods are reviewed from the viewpoint of electromagnetic confinement system analysis. Particular attention is given to the use of Boundary Integral methods to obtain a self-consistent solution of the electromagnetic field equations when the conducting body is molten metal with a free surface. The application of Finite Element and Volume Integral methods to confinement problems involving an assumed free surface contour is reviewed. Closed form solutions that conveniently yield upper bound estimates of confinement and stirring forces are discussed. A 2-D electromagnetic casting system is used to focus the discussion of the various methods. Numerical methods (e. g., Fast Fourier Transform, eigenvalue decomposition, Preconditioned Conjugate Gradients) that are useful in the analysis of confinement problems are discussed. Free surface profiles for several 2-D applications are presented. Suitable methods for 3-D confinement problems are briefly discussed. A substantial reference list is included in the paper.
