Developing the "low cost

short process" manipulation technology is the future developing trend of Chinese titanium industry centered on electron beam cold hearth smelting（EBCHM） for high performance titanium materials. In order to reveal the complex physical phenomena in the process of EBCHM and establish the mechanism for controlling products quality

the multi physical numerical model

which is an effective tool for realizing the "visualization" of high temperature smelting process

was widely concerned. The development of the numerical model of EBCHM was reviewed

and the theoretical support of the existing numerical model for the investigation of the physical and transfer phenomenon in the smelting process was discussed

and the further developing trend of the multi physical coupling numerical model was proposed.