Numerical solution of the incompressible Navier-Stokes equations with an upwind compact difference scheme

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	Numerical solution of the incompressible Navier-Stokes equations with an upwind compact difference scheme
	Ma YW(马延文); Fu DX(傅德薰); Kobayashi T; TANIGUCHI N
刊名	International Journal for Numerical Methods in Fluids
	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
内容类型	期刊论文
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.