| A higher order compact finite difference algorithm for solving the incompressible Navier-Stokes equations |
| Tian ZF; Liang X(梁贤) ; Yu PX; Tian, ZF (reprint author), Fudan Univ, Dept Engn Sci & Mech, Shanghai 200433, Peoples R China
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| 发表期刊 | International Journal for Numerical Methods in Engineering
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| 2011
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| 卷号 | 88期号:6页码:511-532 |
| ISSN | 0029-5981
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| 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. |
| 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
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| 学科领域 | Engineering
; Mathematics
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| DOI | 10.1002/nme.3184
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| URL | 查看原文
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| 收录类别 | SCI
; EI
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| 语种 | 英语
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| WOS记录号 | WOS:000296262500001
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| 关键词[WOS] | SPECTRAL-PROJECTION METHOD
; NUMERICAL-SOLUTION
; FLOW CALCULATIONS
; CAVITY FLOW
; SCHEME
; 4TH-ORDER
; FORMULATION
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| WOS研究方向 | Engineering
; Mathematics
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| WOS类目 | Engineering, Multidisciplinary
; Mathematics, Interdisciplinary Applications
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| 项目资助者 | 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.
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| 课题组名称 | LHD可压缩湍流
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| 论文分区 | 一类
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://dspace.imech.ac.cn/handle/311007/45165
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| 专题 | 高温气体动力学国家重点实验室
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| 通讯作者 | Tian, ZF (reprint author), Fudan Univ, Dept Engn Sci & Mech, Shanghai 200433, Peoples R China |
推荐引用方式
GB/T 7714 |
Tian ZF,Liang X,Yu PX,et al. 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.
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| APA |
Tian ZF,梁贤,Yu PX,&Tian, ZF .(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.
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| 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.
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