A New Algorithm for Solving the Energy Conservation Equation Based on ADI Method

  • Xiaofeng Niu
  • Zhongping Que
  • Weili Cheng
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 235)


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 experimental results is analyzed quantitatively by the hamming distance (HD). The results show that the simulation results of this high order mathematical model are close to the experimental results.


High order ADI method Finite difference method Temperature field Solidification process Hamming distance Degree of similarity 


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of Materials Science and EngineeringTaiyuan University of TechnologyTaiyuanChina

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