Projection method III: Spatial discretization on the staggered grid

E. Weinan, Jian Guo Liu

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

In E & Liu (SIAM J Numer. Anal., 1995), we studied convergence and the structure of the error for several projection methods when the spatial variable was kept continuous (we call this the semi-discrete case). In this paper, we address similar questions for the fully discrete case when the spatial variables are discretized using a staggered grid. We prove that the numerical solution in velocity has full accuracy up to the boundary, despite the fact that there are numerical boundary layers present in the semi-discrete solutions.

Original languageEnglish (US)
Pages (from-to)27-47
Number of pages21
JournalMathematics of Computation
Volume71
Issue number237
DOIs
StatePublished - Jan 1 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

Keywords

  • Convergence
  • Finite difference
  • Numerical boundary layer
  • Projection method
  • Viscous incompressible flows

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