Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations | |
Shah, Abdullah1,2; Yuan, Li1; Khan, Aftab2 | |
刊名 | APPLIED MATHEMATICS AND COMPUTATION |
2010 | |
卷号 | 215期号:9页码:3201-3213 |
关键词 | Incompressible Navier-Stokes equation Artificial compressibility method Upwind compact finite difference Flux-difference splitting Dual-time stepping Kovasznay flow problem Oscillating plate Taylor's decaying vortices Doubly periodic shear layer |
ISSN号 | 0096-3003 |
DOI | 10.1016/j.amc.2009.10.001 |
英文摘要 | This article presents a time-accurate numerical method using high-order accurate compact finite difference scheme for the incompressible Navier-Stokes equations. The method relies on the artificial compressibility formulation, which endows the governing equations a hyperbolic-parabolic nature. The convective terms are discretized with a third-order upwind compact scheme based on flux-difference splitting, and the viscous terms are approximated with a fourth-order central compact scheme. Dual-time stepping is implemented for time-accurate calculation in conjunction with Beam-Warming approximate factorization scheme. The present compact scheme is compared with an established non-compact scheme via analysis in a model equation and numerical tests in four benchmark flow problems. Comparisons demonstrate that the present third-order upwind compact scheme is more accurate than the non-compact scheme while having the same computational cost as the latter. (C) 2009 Elsevier Inc. All rights reserved. |
资助项目 | CIIT[IDB-1306] ; Natural Science Foundation of China[G10531080] ; Natural Science Foundation of China[G10729101] ; State Key Program for Developing Basic Sciences[2005CB321703] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE INC |
WOS记录号 | WOS:000273230700006 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11218] |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Shah, Abdullah |
作者单位 | 1.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan |
推荐引用方式 GB/T 7714 | Shah, Abdullah,Yuan, Li,Khan, Aftab. Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations[J]. APPLIED MATHEMATICS AND COMPUTATION,2010,215(9):3201-3213. |
APA | Shah, Abdullah,Yuan, Li,&Khan, Aftab.(2010).Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations.APPLIED MATHEMATICS AND COMPUTATION,215(9),3201-3213. |
MLA | Shah, Abdullah,et al."Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations".APPLIED MATHEMATICS AND COMPUTATION 215.9(2010):3201-3213. |
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