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

doi:10.1002/fld.1650201003

科研成果详情

发表状态	已发表Published
题名	A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
作者	Li, Ming 1; Tang, Tao1 ; Fornberg, Bengt 2
发表日期	1995
发表期刊	International Journal for Numerical Methods in Fluids
ISSN/eISSN	0271-2091
卷号	20 期号:10 页码:1137-1151
摘要	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
关键词	compact scheme driven cavity problem Navier‐Stokes equations streamfunction vorticity
DOI	10.1002/fld.1650201003
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Computer Science ; Mathematics ; Mechanics ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS记录号	WOS:A1995QY07000002
Scopus入藏号	2-s2.0-0029106259
引用统计	被引频次：206[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/2118
专题	个人在本单位外知识产出
作者单位	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
推荐引用方式 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.