Some theoretical aspects of the simplified Navier-Stokes(SNS) equations

IMECH-IR > 力学所知识产出(1956-2008)

	Some theoretical aspects of the simplified Navier-Stokes(SNS) equations
	Chen GQ; Chen YS; Gao Z(高智); CHEN, GQ (reprint author), BEIJING UNIV,DEPT MECH,BEIJING 100871,PEOPLES R CHINA.
发表期刊	Science in China Series A-Mathematics Physics Astronomy & Technological Sciences
	1991
卷号	34 期号:8 页码:943-954
ISSN	1001-6511
摘要	This study deals with the formulation, mathematical property and physical meaning of the simplified Navier-Stokes (SNS) equations. The tensorial SNS equations proposed is the simplest in form and is applicable to flow fields with arbitrary body boundaries. The zones of influence and dependence of the SNS equations, which are of primary importance to numerical solutions, are expounded for the first time from the viewpoint of subcharacteristics. Besides, a detailed analysis of the diffusion process in flow fields shows that the diffusion effect has an influence zone globally windward and an upwind propagation greatly depressed by convection. The maximum upwind influential distance of the viscous effect and the relative importance of the viscous effect in the flow direction to that in the direction normal to the flow are represented by the Reynolds number, which illustrates the conversion of the complete Navier-Stokes (NS) equations to the SNS equations for flows with large Reynolds number.
关键词	Fluid Mechanics Viscous Flow Navier-stokes Equation
收录类别	SCI
语种	英语
WOS记录号	WOS:A1991GF79100005
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/39520
专题	力学所知识产出(1956-2008)
通讯作者	CHEN, GQ (reprint author), BEIJING UNIV,DEPT MECH,BEIJING 100871,PEOPLES R CHINA.
推荐引用方式 GB/T 7714	Chen GQ,Chen YS,Gao Z,et al. Some theoretical aspects of the simplified Navier-Stokes(SNS) equations[J]. Science in China Series A-Mathematics Physics Astronomy & Technological Sciences,1991,34,8,:943-954.
APA	Chen GQ,Chen YS,高智,&CHEN, GQ .(1991).Some theoretical aspects of the simplified Navier-Stokes(SNS) equations.Science in China Series A-Mathematics Physics Astronomy & Technological Sciences,34(8),943-954.
MLA	Chen GQ,et al."Some theoretical aspects of the simplified Navier-Stokes(SNS) equations".Science in China Series A-Mathematics Physics Astronomy & Technological Sciences 34.8(1991):943-954.

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