A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates

doi:10.4208/nmtma.OA-2020-0053

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	A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates
	Mohanty, R. K.1; Yuan, Li 2,3,4; Sharma, Divya 1
	2021-05-01
发表期刊	NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
ISSN	1004-8979
卷号	14 期号:2 页码:488-507
摘要	In this article, a new compact difference scheme is proposed in exponential form to solve two-dimensional unsteady nonlinear Burgers' and Navier-Stokes equations of motion in polar cylindrical coordinates by using half-step discretization. At each time level by using only nine grid points in space, the proposed scheme gives accuracy of order four in space and two in time. The method is directly applicable to the equations having singularities at boundary points. Stability analysis is explained in detail and many benchmark problems like Burgers', Navier-Stokes and Taylor-vortex problems in polar cylindrical coordinates are solved to verify the accuracy and efficiency of the scheme.
关键词	Half-step discretization compact scheme in exponential form two-level implicit scheme Burgers' equation Navier-Stokes equations of motion Taylor-vortex problem
DOI	10.4208/nmtma.OA-2020-0053
收录类别	SCI
语种	英语
资助项目	Chinese Academy of Sciences under INSACAS bilateral exchange programme-2019 ; University Grant Commission, New Delhi, India[1087] ; NSFC[91641107] ; NSFC[91852116] ; NSFC[12071470]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000613945700008
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58222
专题	中国科学院数学与系统科学研究院
通讯作者	Mohanty, R. K.
作者单位	1.South Asian Univ, Dept Math, New Delhi 110021, India 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, 55 Zhong Guan Cun East Rd, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, 55 Zhong Guan Cun East Rd, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, 55 Zhong Guan Cun East Rd, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Mohanty, R. K.,Yuan, Li,Sharma, Divya. A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2021,14(2):488-507.
APA	Mohanty, R. K.,Yuan, Li,&Sharma, Divya.(2021).A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,14(2),488-507.
MLA	Mohanty, R. K.,et al."A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 14.2(2021):488-507.