Perturbational Finite Volume Method For The Solution of 2-D Navier-Stokes Equations on Unstructured and Structured Colocated Meshes

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	Perturbational Finite Volume Method For The Solution of 2-D Navier-Stokes Equations on Unstructured and Structured Colocated Meshes
	Gao Z(高智); Dai MG; Li GB; Bai W
刊名	Applied Mathematics and Mechanics (English Edition)
	2005
通讯作者邮箱	20108009@sina.com
卷号	26 期号:2 页码:242-251
ISSN号	0253-4827
通讯作者	Gao, Z (reprint author), Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China.
中文摘要	Based on the first-order upwind and second-order central type of finite volume( UFV and CFV) scheme, upwind and central type of perturbation finite volume ( UPFV and CPFV) schemes of the Navier-Stokes equations were developed. In PFV method, the mass fluxes of across the cell faces of the control volume (CV) were expanded into power series of the grid spacing and the coefficients of the power series were determined by means of the conservation equation itself. The UPFV and CPFV scheme respectively uses the same nodes and expressions as those of the normal first-order upwind and second-order central scheme, which is apt to programming. The results of numerical experiments about the flow in a lid-driven cavity and the problem of transport of a scalar quantity in a known velocity field show that compared to the first-order UFV and second-order CFV schemes, upwind PFV scheme is higher accuracy and resolution, especially better robustness. The numerical computation to flow in a lid-driven cavity shows that the under-relaxation factor can be arbitrarily selected ranging from 0.3 to 0. 8 and convergence perform excellent with Reynolds number variation from 102 to 104.
学科主题	力学
类目[WOS]	Mathematics, Applied ; Mechanics
研究领域[WOS]	Mathematics ; Mechanics
关键词[WOS]	GRIDS
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000227398100014
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/311007/16214]
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	Gao Z,Dai MG,Li GB,et al. Perturbational Finite Volume Method For The Solution of 2-D Navier-Stokes Equations on Unstructured and Structured Colocated Meshes[J]. Applied Mathematics and Mechanics (English Edition),2005,26(2):242-251.
APA	高智,Dai MG,Li GB,&Bai W.(2005).Perturbational Finite Volume Method For The Solution of 2-D Navier-Stokes Equations on Unstructured and Structured Colocated Meshes.Applied Mathematics and Mechanics (English Edition),26(2),242-251.
MLA	高智,et al."Perturbational Finite Volume Method For The Solution of 2-D Navier-Stokes Equations on Unstructured and Structured Colocated Meshes".Applied Mathematics and Mechanics (English Edition) 26.2(2005):242-251.