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

Kazufumi Ito, Zhonghua Qiao

Research output: Journal article publicationJournal articleAcademic researchpeer-review

29 Citations (Scopus)


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
Issue number17
Publication statusPublished - 1 Sep 2008
Externally publishedYes


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

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

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