Application of Fuzzy Set Theory to Quantitative Analysis of Correctness of the Mathematical Model Based on the ADI Method during Solidification
Joint Authors
Niu, Xiaofeng
Wang, Guanqian
Liang, Wei
Hou, Hua
Wang, Hongxia
Zhang, Jinshan
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The explicit finite difference (EFD) method is used to calculate the casting temperature field during the solidification process.
Because of its limited time step, the computational efficiency of the EFD method is lower than that of the alternating direction implicit (ADI) method.
A model based on the equivalent specific heat method and the ADI method that improves computational efficiency is established.
The error of temperature field simulation comes from model simplification, the acceptable hypotheses and calculation errors caused by different time steps, and the different mesh numbers that are involved in the process of numerical simulation.
This paper quantitatively analyzes the degree of similarity between simulated and experimental results by the hamming distance (HD).
For a thick-walled position, the time step influences the simulation results of the temperature field and the number of casting meshes has little influence on the simulation results of temperature field.
For a thin-walled position, the time step has minimal influence on the simulation results of the temperature field and the number of casting meshes has a larger influence on the simulation results of temperature field.
American Psychological Association (APA)
Niu, Xiaofeng& Wang, Guanqian& Liang, Wei& Hou, Hua& Wang, Hongxia& Zhang, Jinshan. 2013. Application of Fuzzy Set Theory to Quantitative Analysis of Correctness of the Mathematical Model Based on the ADI Method during Solidification. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1011065
Modern Language Association (MLA)
Niu, Xiaofeng…[et al.]. Application of Fuzzy Set Theory to Quantitative Analysis of Correctness of the Mathematical Model Based on the ADI Method during Solidification. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1011065
American Medical Association (AMA)
Niu, Xiaofeng& Wang, Guanqian& Liang, Wei& Hou, Hua& Wang, Hongxia& Zhang, Jinshan. Application of Fuzzy Set Theory to Quantitative Analysis of Correctness of the Mathematical Model Based on the ADI Method during Solidification. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1011065
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1011065