A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates
文献类型：期刊论文
| 作者 | Mohanty, R. K.1; Yuan, Li2,3,4; Sharma, Divya1 |
| 刊名 | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
 |
| 出版日期 | 2021-05-01 |
| 卷号 | 14期号:2页码:488-507 |
| ISSN号 | 1004-8979 |
| 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 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| 出版者 | GLOBAL SCIENCE PRESS |
| WOS记录号 | WOS:000613945700008 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58221]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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