High-Order Spectral Finite Elements in Analysis of Collinear Wave Mixing
Joint Authors
Zhao, Youxuan
Qiu, Yanjun
Ai, Changfa
Yang, Enhui
Cao, Peng
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-01
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Implementing collinear wave mixing techniques with numerical methods to detect acoustic nonlinearity due to damage and defects is of vital importance in nondestructive examination engineering.
However, numerical simulations in existing literatures are often limited due to the compromise between computational efficiency and accuracy.
In order to balance the contradiction, spectral finite element (abbreviated as SFE) with 3 × 3 and 8 × 6 nodes is developed to simulate collinear wave mixing for 1D and 2D cases in this study.
The comparisons among analytical solutions, experiments, finite element method (FEM), and spectral finite element method are presented to validate the feasibility, efficiency, and accuracy of the proposed SFEs.
The results demonstrate that the proposed SFEs are capable of increasing computational efficiency by as much as 14 times while maintaining the same accuracy in comparison with FEM.
In addition, five 3 × 3 nodes’ SFEs or one 8 × 6 nodes’ SFE per the shortest wavelength is sufficient to capture mixing waves.
Finally, the proposed 8 × 6 nodes’ SFE is recommended for collinear wave mixing to detect damage, which can offer more accuracy with similar efficiency compared to 3 × 3 nodes’ SFE.
American Psychological Association (APA)
Ai, Changfa& Zhao, Youxuan& Cao, Peng& Yang, Enhui& Qiu, Yanjun. 2015. High-Order Spectral Finite Elements in Analysis of Collinear Wave Mixing. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1073342
Modern Language Association (MLA)
Ai, Changfa…[et al.]. High-Order Spectral Finite Elements in Analysis of Collinear Wave Mixing. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1073342
American Medical Association (AMA)
Ai, Changfa& Zhao, Youxuan& Cao, Peng& Yang, Enhui& Qiu, Yanjun. High-Order Spectral Finite Elements in Analysis of Collinear Wave Mixing. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1073342
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073342