The development of a numerical model for the melting process of Al--Ti alloy targetmaterial in vacuum induction furnace with cold crucible (VIFCC)was described. It isa two--dimensional computational methodology to calculate electromagnetic field, heattransfer field and fluid flow field. Based on the aid of the finite element method withthe commercial software--ANSYS, a superimposition method of a layer of copper anda slit to simulate the VIFCC melting process was used. The method was effectiveto save large quantity of memory and computing time. Meanwhile, a temperaturedistribution profile during the melting process was obtained. Validity of the model wasconfirmed by comparison between the result from calculation and those from directmeasurement by optical pyrometer and indirect investigation by ingot macrostructure.A relatively good agreement was found. Further, a nearly directional solidificationstrvcture was obtained under properly controlling the cooling rate and heating power.Therefore, such model d The development of a numerical model for the melting process of Al - Ti alloy targetmaterial in vacuum induction furnace with cold crucible (VIFCC) was described. It isa two - dimensional computational methodology to calculate electromagnetic field, heattransfer field and fluid flow field. Based on the aid of the finite element method with the commercial software - ANSYS, a superimposition method of a layer of copper and a slit to simulate the VIFCC melting process was used. The method was effective to save large quantity of memory and computing time. Meanwhile, a temperaturedistribution profile during the melting process was obtained. Validity of the model wasconfirmed by comparison between the result from calculation and those from direct measurement by optical pyrometer and indirect investigation by ingot macrostructure. A relatively good solid was found. Further, a nearly directional solidificationstrvcture was obtained under properly controlling the cooling rate and heating power fore, such model d