Numerical solution of the incompressible Navier-Stokes equations with an upwind compact difference scheme
文献类型：期刊论文
| 作者 | Ma YW(马延文) ; Fu DX(傅德薰); Kobayashi T; TANIGUCHI N
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| 刊名 | International Journal for Numerical Methods in Fluids
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| 出版日期 | 1999 |
| 卷号 | 30期号:5页码:509-521 |
| ISSN号 | 0271-2091 |
| 通讯作者 | Ma, YW (reprint author), Chinese Acad Sci, Inst Mech, LNM, 15 Zhong Guan Cun Rd, Beijing 100080, Peoples R China. |
| 中文摘要 | A new finite difference method for the discretization of the incompressible Navier-Stokes equations is presented. The scheme is constructed on a staggered-mesh grid system. The convection terms are discretized with a fifth-order-accurate upwind compact difference approximation, the viscous terms are discretized with a sixth-order symmetrical compact difference approximation, the continuity equation and the pressure gradient in the momentum equations are discretized with a fourth-order difference approximation on a cell-centered mesh. Time advancement uses a three-stage Runge-Kutta method. The Poisson equation for computing the pressure is solved with preconditioning. Accuracy analysis shows that the new method has high resolving efficiency. Validation of the method by computation of Taylor's vortex array is presented. |
| 学科主题 | 力学 |
| 类目[WOS] | Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas |
| 研究领域[WOS] | Computer Science ; Mathematics ; Mechanics ; Physics |
| 关键词[WOS] | FLOW ; SIMULATION |
| 收录类别 | SCI ; EI |
| 语种 | 英语 |
| WOS记录号 | WOS:000081299300003 |
| 公开日期 | 2007-06-15 ; 2007-12-05 ; 2009-06-23 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/15965]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 推荐引用方式 GB/T 7714 | Ma YW,Fu DX,Kobayashi T,et al. Numerical solution of the incompressible Navier-Stokes equations with an upwind compact difference scheme[J]. International Journal for Numerical Methods in Fluids,1999,30(5):509-521. |
| APA | 马延文,傅德薰,Kobayashi T,&TANIGUCHI N.(1999).Numerical solution of the incompressible Navier-Stokes equations with an upwind compact difference scheme.International Journal for Numerical Methods in Fluids,30(5),509-521. |
| MLA | 马延文,et al."Numerical solution of the incompressible Navier-Stokes equations with an upwind compact difference scheme".International Journal for Numerical Methods in Fluids 30.5(1999):509-521. |
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来源：力学研究所
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