A High Order Mathematical Model for Calculating Casting Temperature Field Based on ADI Method

"The explicit finite difference (EFD) method is used for calculating the casting temperature field during solidification. Because the time step is limited, the computational efficiency of the EFD method is lower. In order to improve the computational efficiency, a fourth-order in space and second-order in time model based on the equivalent specific heat method and the alternating direction implicit (ADI) method is established. The degree of similarity between the simulation results and the experimental results is analyzed. The results show that the simulation results of this high order mathematical model are close to the experimental results.IntroductionThe 3D heat transfer equation of temperature field during solidification process is as the following: [1-3]."