A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations

doi:10.1002/fld.1650201003

Details of Research Outputs

Status	已发表Published
Title	A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
Creator	Li, Ming 1; Tang, Tao1 ; Fornberg, Bengt 2
Date Issued	1995
Source Publication	International Journal for Numerical Methods in Fluids
ISSN	0271-2091
Volume	20 Issue:10 Pages:1137-1151
Abstract	We note in this study that the Navier‐Stokes equations, when expressed in streamfunction‐vorticity form, can be approximated to fourth‐order accuracy with stencils extending only over a 3 x 3 square of points. The key advantage of the new compact fourth‐order scheme is that it allows direct iteration for low‐to‐medium Reynolds numbers. Numerical solutions are obtained for the model problem of the driven cavity and compared with solutions available in the literature. For Re ⩽ 7500 point‐SOR iteration is used and the convergence is fast. Copyright © 1995 John Wiley & Sons, Ltd
Keyword	compact scheme driven cavity problem Navier‐Stokes equations streamfunction vorticity
DOI	10.1002/fld.1650201003
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Computer Science ; Mathematics ; Mechanics ; Physics
WOS Subject	Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS ID	WOS:A1995QY07000002
Scopus ID	2-s2.0-0029106259
Citation statistics	Cited Times:204[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/2118
Collection	Research outside affiliated institution
Affiliation	1.Department of Mathematics and Statistics, Simon Fraser University, Burnaby, British Columbia, V5A 1S6, Canada 2.Corporate Research, Exxon Research and Engineering Company, Annandale, New Jersey, 08801, United States
Recommended Citation GB/T 7714	Li, Ming,Tang, Tao,Fornberg, Bengt. A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations[J]. International Journal for Numerical Methods in Fluids, 1995, 20(10): 1137-1151.
APA	Li, Ming, Tang, Tao, & Fornberg, Bengt. (1995). A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations. International Journal for Numerical Methods in Fluids, 20(10), 1137-1151.
MLA	Li, Ming,et al."A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations". International Journal for Numerical Methods in Fluids 20.10(1995): 1137-1151.

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