A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations
文献类型：期刊论文
| 作者 | Shah, Abdullah1,2; Guo, Hong1; Yuan, Li1
|
| 刊名 | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2009-02-01 |
| 卷号 | 5期号:2-4页码:712-729 |
| 关键词 | Upwind compact difference flux difference splitting incompressible Navier-Stokes equations artificial compressibility lid-driven cavity flow |
| ISSN号 | 1815-2406 |
| 英文摘要 | This paper presents a new version of the upwind compact finite difference scheme for solving the incompressible Navier-Stokes equations in generalized curvilinear coordinates. The artificial compressibility approach is used, which transforms the elliptic-parabolic equations into the hyperbolic-parabolic ones so that flux difference splitting can be applied. The convective terms are approximated by a third-order upwind compact scheme implemented with flux difference splitting, and the viscous terms are approximated by a fourth-order central compact scheme. The solution algorithm used is the Beam-Warming approximate factorization scheme. Numerical solutions to benchmark problems of the steady plane Couette-Poiseuille flow, the lid-driven cavity flow, and the constricting channel flow with varying geometry are presented. The computed results are found in good agreement with established analytical and numerical results. The third-order accuracy of the scheme is verified on uniform rectangular meshes. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000263563600029 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7178]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Yuan, Li |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Comptitat Math & Sci Engn Comp, LSEC, Beijing 100080, Peoples R China 2.COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan |
| 推荐引用方式 GB/T 7714 | Shah, Abdullah,Guo, Hong,Yuan, Li. A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2009,5(2-4):712-729. |
| APA | Shah, Abdullah,Guo, Hong,&Yuan, Li.(2009).A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,5(2-4),712-729. |
| MLA | Shah, Abdullah,et al."A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 5.2-4(2009):712-729. |
入库方式： OAI收割
来源：数学与系统科学研究院
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