Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations
文献类型：期刊论文
| 作者 | Shah, Abdullah1,2; Yuan, Li1
|
| 刊名 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
 |
| 出版日期 | 2009-10-20 |
| 卷号 | 61期号:5页码:552-568 |
| 关键词 | upwind compact difference flux-difference splitting incompressible Navier-Stokes equation artificial compressibility backward facing step lid-driven cavity flow |
| ISSN号 | 0271-2091 |
| DOI | 10.1002/fld.1965 |
| 英文摘要 | Third-order and fifth-order upwind compact finite difference schemes based on flux-difference splitting are proposed for solving the incompressible Navier-Stokes equations in conjunction with the artificial compressibility (AC) method. Since the governing equations in the AC method are hyperbolic, flux-difference splitting (FDS) originally developed for the compressible Euler equations can be used. In the present upwind compact schemes, the split derivatives for the convective terms at grid points are linked to the differences of split fluxes between neighboring grid points, and these differences are computed by using FDS. The viscous terms are approximated with a sixth-order central compact scheme. Comparisons with 2D benchmark solutions demonstrate that the present compact schemes are simple, efficient, and high-order accurate. Copyright (C) 2008 John Wiley & Sons, Ltd. |
| 资助项目 | Natural Science Foundation of China[G10531080] ; Natural Science Foundation of China[G10729101] ; State Key Program for Developing Basic Sciences[2005CB321703] ; COMSAT Institute of Information Technology Islamabad, Pakistan |
| WOS研究方向 | Computer Science ; Mathematics ; Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000270840300005 |
| 出版者 | WILEY-BLACKWELL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7641]  |
| 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 Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 2.COMSAT Inst Informat Technol, Dept Math, Islamabad, Pakistan |
| 推荐引用方式 GB/T 7714 | Shah, Abdullah,Yuan, Li. Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2009,61(5):552-568. |
| APA | Shah, Abdullah,&Yuan, Li.(2009).Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,61(5),552-568. |
| MLA | Shah, Abdullah,et al."Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 61.5(2009):552-568. |
入库方式： OAI收割
来源：数学与系统科学研究院
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