A high order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach

Kazufumi Ito; Zhonghua Qiao

doi:10.1016/j.jcp.2008.05.021

A high order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach

Kazufumi Ito, Zhonghua Qiao

Research output: Journal article publication › Journal article › Academic research › peer-review

34 Citations (Scopus)

Abstract

This paper deals with the steady Stokes flow on a rectangular domain. A high order compact MAC finite difference scheme based on the staggered grid is developed for solving Stokes equations with a Dirichlet boundary condition on the velocity. A novel high order boundary treatment is developed via introducing a suitable augmented variable. The accuracy of the proposed method is demonstrated in test problems. Creeping flow solutions for driven cavity problem are obtained numerically and compared with published results.

Original language	English
Pages (from-to)	8177-8190
Number of pages	14
Journal	Journal of Computational Physics
Volume	227
Issue number	17
DOIs	https://doi.org/10.1016/j.jcp.2008.05.021
Publication status	Published - 1 Sept 2008
Externally published	Yes

Keywords

Compact fourth order MAC finite difference scheme
Staggered grid
Stokes equations

ASJC Scopus subject areas

Computer Science Applications
General Physics and Astronomy

More information

10.1016/j.jcp.2008.05.021

Cite this

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AB - This paper deals with the steady Stokes flow on a rectangular domain. A high order compact MAC finite difference scheme based on the staggered grid is developed for solving Stokes equations with a Dirichlet boundary condition on the velocity. A novel high order boundary treatment is developed via introducing a suitable augmented variable. The accuracy of the proposed method is demonstrated in test problems. Creeping flow solutions for driven cavity problem are obtained numerically and compared with published results.

KW - Compact fourth order MAC finite difference scheme

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A high order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach

Abstract

Keywords

ASJC Scopus subject areas

More information

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