Analysis and convergence of the MAC scheme. II. Navier-Stokes equations

R. A. Nicolaides*, Xiaonan WU

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

46 Citations (Scopus)

Abstract

The MAC discretization scheme for the incompressible Navier-Stokes equations is interpreted as a covolume approximation to the equations. Using some results from earlier papers dealing with covolume error estimates for div-curl equation systems, and under certain conditions on the data and the solutions of the Navier-Stokes equations, we obtain first-order error estimates for both the vorticity and the pressure.

Original languageEnglish
Pages (from-to)29-44
Number of pages16
JournalMathematics of Computation
Volume65
Issue number213
DOIs
Publication statusPublished - Jan 1996

Scopus Subject Areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Covolume
  • MAC
  • Navier-Stokes

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