A higher order compact finite difference algorithm for solving the incompressible Navier-Stokes equations
文献类型：期刊论文
| 作者 | Tian ZF; Liang X(梁贤) ; Yu PX
|
| 刊名 | International Journal for Numerical Methods in Engineering
 |
| 出版日期 | 2011 |
| 卷号 | 88期号:6页码:511-532 |
| 通讯作者邮箱 | zftian@nxu.edu.cn |
| 关键词 | Navier-Stokes Equations Higher Order Compact Finite Difference Primitive Variable Projection Method Spectral-Projection Method Numerical-Solution Flow Calculations Cavity Flow Scheme 4Th-Order Formulation |
| ISSN号 | 0029-5981 |
| 产权排序 | [Tian, Zhenfu; Yu, Peixiang] Fudan Univ, Dept Engn Sci & Mech, Shanghai 200433, Peoples R China; [Tian, Zhenfu; Yu, Peixiang] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China; [Liang, Xian] Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China |
| 通讯作者 | Tian, ZF (reprint author), Fudan Univ, Dept Engn Sci & Mech, Shanghai 200433, Peoples R China |
| 合作状况 | 国内 |
| 中文摘要 | On the basis of the projection method, a higher order compact finite difference algorithm, which possesses a good spatial behavior, is developed for solving the 2D unsteady incompressible Navier-Stokes equations in primitive variable. The present method is established on a staggered grid system and is at least third-order accurate in space. A third-order accurate upwind compact difference approximation is used to discretize the non-linear convective terms, a fourth-order symmetrical compact difference approximation is used to discretize the viscous terms, and a fourth-order compact difference approximation on a cell-centered mesh is used to discretize the first derivatives in the continuity equation. The pressure Poisson equation is approximated using a fourth-order compact difference scheme constructed currently on the nine-point 2D stencil. New fourth-order compact difference schemes for explicit computing of the pressure gradient are also developed on the nine-point 2D stencil. For the assessment of the effectiveness and accuracy of the method, particularly its spatial behavior, a problem with analytical solution and another one with a steep gradient are numerically solved. Finally, steady and unsteady solutions for the lid-driven cavity flow are also used to assess the efficiency of this algorithm. Copyright (C) 2011 John Wiley & Sons, Ltd. |
| 学科主题 | Engineering; Mathematics |
| 分类号 | 一类 |
| 类目[WOS] | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications |
| 研究领域[WOS] | Engineering ; Mathematics |
| 关键词[WOS] | SPECTRAL-PROJECTION METHOD ; NUMERICAL-SOLUTION ; FLOW CALCULATIONS ; CAVITY FLOW ; SCHEME ; 4TH-ORDER ; FORMULATION |
| 收录类别 | SCI ; EI |
| 资助信息 | This work was supported in part by the National Natural Science Foundation of China under Grants 10972058 and 10662006, Research Fund for the Doctoral Program of Higher Education of China, the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of MOE, People's Republic of China, China Postdoctoral Science Foundation, and the High Performance Computing Foundation of China under Grants 99107 and 00108. |
| 原文出处 | http://dx.doi.org/10.1002/nme.3184 |
| 语种 | 英语 |
| WOS记录号 | WOS:000296262500001 |
| 公开日期 | 2012-04-01 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/45165]  |
| 专题 | 力学研究所_高温气体动力学国家重点实验室 |
| 推荐引用方式 GB/T 7714 | Tian ZF,Liang X,Yu PX. A higher order compact finite difference algorithm for solving the incompressible Navier-Stokes equations[J]. International Journal for Numerical Methods in Engineering,2011,88(6):511-532. |
| APA | Tian ZF,梁贤,&Yu PX.(2011).A higher order compact finite difference algorithm for solving the incompressible Navier-Stokes equations.International Journal for Numerical Methods in Engineering,88(6),511-532. |
| MLA | Tian ZF,et al."A higher order compact finite difference algorithm for solving the incompressible Navier-Stokes equations".International Journal for Numerical Methods in Engineering 88.6(2011):511-532. |
入库方式： OAI收割
来源：力学研究所
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