An efficient Legendre-Galerkin spectral element method for the steady flows in rectangular cavities

doi:10.1080/00207160.2019.1659962

科研成果详情

题名	An efficient Legendre-Galerkin spectral element method for the steady flows in rectangular cavities
作者	Zhang, Jun 1; Jiao, Jianjun 2; Lin, Fubiao 2; Li, Wulan3; Sun, Tao 4
发表日期	2020-09-01
发表期刊	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 影响因子和分区
语种	英语
原始文献类型	Article
关键词	Legendre-Galerkin spectral element method domain decomposition rectangular cavities conjugate gradient iteration
其他关键词	DRIVEN-CAVITY ; 4TH-ORDER EQUATIONS ; STOKES EQUATIONS ; DIRECT SOLVERS ; VISCOUS FLOWS ; ALGORITHMS ; 2ND-ORDER ; ACCURACY ; FLUID
摘要	An efficient Legendre-Galerkin spectral element method for the steady flows in rectangular cavities is proposed in this paper. Firstly, we eliminate the singularity of biharmonic equation in rectangular cavity at the corner by the singularity substraction technique. Then we construct some appropriate interior basis functions and interface basis functions which maintain -continuity. Consequently, the discrete variational formulation is reduced to a linear system with block diagonal and well-conditioned coefficient matrix, which can be efficiently solved by the conjugate gradient iteration method. Finally, several numerical examples are given to show the effectiveness of our numerical method. The present method is used to solve the creeping flows in rectangular cavities, the numerical results are compared well with the benchmark steady solutions provided by the finite difference method.
资助项目	National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11791019, 11361014, 11901132]; Chinese Postdoc FoundationChina Postdoctoral Science Foundation [2019M653490]; Academic Project of Guizhou University of Finance and Economics [[2018]5774-033]; Joint Fund Project of Department of Commerce with GUFE [2016SWBZD18]; Science Technology Foundation of Guizhou Education Department [QJK[KY]2018019, [2019]1051]; Project of High Level Creative Talents in Guizhou Province [20164035]; Guizhou Province University science and technology top talents project [2018-047]; NSF of ChinaNational Natural Science Foundation of China (NSFC) [11401380, 11671166, 11701371]; NSF of Shanghai [19ZR1436300]
出版者	TAYLOR & FRANCIS LTD
出版地	ABINGDON
ISSN	0020-7160
EISSN	1029-0265
卷号	97 期号:9 页码:1806-1818
DOI	10.1080/00207160.2019.1659962
页数	32
WOS类目	Mathematics, Applied
WOS研究方向	Mathematics
WOS记录号	WOS:000485469500001
收录类别	SCIE ; EI ; SCOPUS
EI入藏号	20193707432926
EI主题词	Conjugate gradient method
URL	查看原文
Scopus记录号	2-s2.0-85072049867
通讯作者地址	[Sun, Tao]School of Statistics and Mathematics,Shanghai Lixin University of Accounting and Finance,Shanghai,201209,China
scopus学科分类	Computer Science Applications;Computational Theory and Mathematics;Applied Mathematics
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://kms.wmu.edu.cn/handle/3ETUA0LF/6445
专题	第一临床医学院（信息与工程学院）、附属第一医院_计算机与信息管理系
通讯作者	Sun, Tao
作者单位	1.Computational Mathematics Research Center,Guizhou University of Finance and Economics,Guiyang,China; 2.School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang,China; 3.College of Information Science and Computer Engineering,Wenzhou Medical University,Wenzhou,China; 4.School of Statistics and Mathematics,Shanghai Lixin University of Accounting and Finance,Shanghai,China
推荐引用方式 GB/T 7714	Zhang, Jun,Jiao, Jianjun,Lin, Fubiao,et al. An efficient Legendre-Galerkin spectral element method for the steady flows in rectangular cavities[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2020,97(9):1806-1818.
APA	Zhang, Jun, Jiao, Jianjun, Lin, Fubiao, Li, Wulan, & Sun, Tao. (2020). An efficient Legendre-Galerkin spectral element method for the steady flows in rectangular cavities. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 97(9), 1806-1818.
MLA	Zhang, Jun,et al."An efficient Legendre-Galerkin spectral element method for the steady flows in rectangular cavities".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 97.9(2020):1806-1818.