Application of a three-point explicit compact difference scheme to the incompressible Navier-Stokes equations

Lin, Jian-guo, Xie, Zhihua ORCID: https://orcid.org/0000-0002-5180-8427 and Zhou, Jun-tao 2006. Application of a three-point explicit compact difference scheme to the incompressible Navier-Stokes equations. Journal of Hydrodynamics, Ser. B 18 (3) , pp. 151-156. 10.1016/S1001-6058(06)60046-2

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Abstract

A three-point explicit compact difference scheme with high order of accuracy for solving the unsteady incompressible Navier-Stokes equations was presented. Numerical solutions are obtained for the model problem of lid-driven cavity flow and are compared with benchmark solutions found in the literature. It is discovered that the proposed three point explicit compact scheme is not only simple to implement and economical to use, but also is effective to obtain high-order accurate solution in coarse grid systems.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords:	incompressible Navier-Stokes equations; lid-driven cavity flow; high order compact scheme; explicit; finite difference method
Publisher:	Elsevier
ISSN:	1001-6058
Last Modified:	02 Nov 2022 10:10
URI:	https://orca.cardiff.ac.uk/id/eprint/97702

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