A New High Order Mathematical Model for Calculating the Energy Conservation Equation

摘要：

　　The Explicit Finite Difference (EFD) method is used for calculating the energy conservation equation during solidification.In order to improve the computational efficiency,the equivalent specific heat method is adopted to calculate the latent heat and the high order Alternating Direction Implicit (ADI) method is also applied,which is fourth order in space and second order in time.The degree of similarity between the simulation results and experimental results is analyzed quantitatively by the Hamming Distance (HD) for the first time,and results show that this high order mathematical model based on the equivalent specific heat method and the high order ADI method is faster and more accurate than the EFD method.

关键词： Hamming distance High order ADI method The equivalent specific heat method Solidification process

作者: Xiaofeng Niu Wei Liang Hua Hou Yuhong Zhao Hongxia Wang Jinshan Zhang Weili Cheng

作者单位: College of Materials Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, Chin College of Materials Science and Engineering, North University of China, Taiyuan 030051, China

会议类型: 国际会议

会议名称: the Chinese Materials Congress 2012(2012年中国材料大会(CMC2012))

会议地点: 太原

会议语种:英文

页码: 545-550

在线出版日期: 2012-07-13（万方平台首次上网日期，不代表论文的发表时间）