Numerical solution of the unsteady incompressible Navier-Stokes equations on the curvilinear half-staggered mesh

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	Numerical solution of the unsteady incompressible Navier-Stokes equations on the curvilinear half-staggered mesh
	Huang, LC
	2000-09-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	18 期号:5 页码:521-540
摘要	In this paper, the Crank-Nicholson + component-consistent pressure correction method for the numerical solution of the unsteady incompressible Navier-Stokes equation of [1] on the rectangular half-staggered mesh has been extended to the curvilinear half-staggered mesh. The discrete projection, both for the projection step in the solution procedure and for the related differential-algebraic equations, has been carefully studied and verified. It is proved that the proposed method is also unconditionally (in Delta t) nonlinearly stable on the curvilinear mesh, provided the mesh is not too skewed. It is seen that for problems with an outflow boundary, the half-staggered mesh is especially;advantageous. Results of preliminary numerical experiments support these claims.
关键词	unsteady incompressible Navier-Stokes equations curvilinear half-staggered mesh discrete projection
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000089333200007
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/15284
专题	中国科学院数学与系统科学研究院
作者单位	Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Huang, LC. Numerical solution of the unsteady incompressible Navier-Stokes equations on the curvilinear half-staggered mesh[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2000,18(5):521-540.
APA	Huang, LC.(2000).Numerical solution of the unsteady incompressible Navier-Stokes equations on the curvilinear half-staggered mesh.JOURNAL OF COMPUTATIONAL MATHEMATICS,18(5),521-540.
MLA	Huang, LC."Numerical solution of the unsteady incompressible Navier-Stokes equations on the curvilinear half-staggered mesh".JOURNAL OF COMPUTATIONAL MATHEMATICS 18.5(2000):521-540.