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

Kazufumi Ito, Zhonghua QIAO*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

29 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 languageEnglish
Pages (from-to)8177-8190
Number of pages14
JournalJournal of Computational Physics
Volume227
Issue number17
DOIs
Publication statusPublished - 1 Sep 2008

Scopus Subject Areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Compact fourth order MAC finite difference scheme
  • Staggered grid
  • Stokes equations

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