Comparison Study on Linear Interpolation and Cubic B-Spline Interpolation Proper Orthogonal Decomposition Methods. (26th March 2013)

• Record Type: Journal Article
• Authors: Wang, Xiaolong; Wang, Yi; Cao, Zhizhu; Zou, Weizhong; Wang, Liping; Yu, Guojun; Yu, Bo; Zhang, Jinjun
• Other Names: Sun Shuyu Academic Editor.
• Is Part Of: Advances in mechanical engineering. Volume 2013(2013)
• Publication Date: 2013-03-26
• Subjects: Mechanical engineering -- Periodicals; 621.05
• DOI: 10.1155/2013/561875
• Languages: English
• ISSNs: 1687-8132

Abstract

Abstract : In general, proper orthogonal decomposition (POD) method is used to deal with single-parameter problems in engineering practice, and the linear interpolation is employed to establish the reduced model. Recently, this method is extended to solve the double-parameter problems with the amplitudes being achieved by cubic B-spline interpolation. In this paper, the accuracy of reduced models, which are established with linear interpolation and cubic B-spline interpolation, respectively, is verified via two typical examples. Both results of the two methods are satisfying, and the results of cubic B-spline interpolation are more accurate than those of linear interpolation. The results are meaningful for guiding the application of the POD interpolation to complex multiparameter problems.