On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible Navier-Stokes equations

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	On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible Navier-Stokes equations
	Huang, LC
	2002
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	20 期号:1 页码:35-56
摘要	The unsteady incompressible Navier-Stokes equations are discretized in space and studied on the fixed mesh as a system of differential algebraic equations. With discrete projection defined, the local errors of Crank Nicholson schemes with three projection methods are derived in a straightforward manner. Then the approximate factorization of relevant matrices are used to study the time accuracy with more detail, especially at points adjacent to the boundary. The effects of numerical boundary conditions for the auxiliary velocity and the discrete pressure Poisson equation on the time accuracy are also investigated. Results of numerical experiments with an analytic example confirm the conclusions of our analysis.
关键词	differential algebraic equations discrete projection numerical boundary conditions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000173483600004
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17556
专题	中国科学院数学与系统科学研究院
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Huang, LC. On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible Navier-Stokes equations[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2002,20(1):35-56.
APA	Huang, LC.(2002).On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible Navier-Stokes equations.JOURNAL OF COMPUTATIONAL MATHEMATICS,20(1),35-56.
MLA	Huang, LC."On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible Navier-Stokes equations".JOURNAL OF COMPUTATIONAL MATHEMATICS 20.1(2002):35-56.