The application of electromagnetics to the material processes has aroused keen interests. Especially EMC(Electromagnetic Moldless Casting) is one of the most important technologies. EMC is a kind of electromagnetic confining system which includes fluid dynamic, solidification phenomena in addition to electromagnetic phenomena. In electromagnetic process of material, the numerical simulation is very important than any other common process. In the case of electromagnetic confining process, numerical simulation still has many difficulties. This study deals with the method of numerical analysis for electromagnetic confining system. Selected system is EML(Electromagnetic Levitation), which shares many similar properties with EMC. A seires of parametric studies conducted with this system provided understanding about the effects of main parameters. For example, the role of dynamic pressure on the determination of the shape was found almost negligible in EML.