Benchmark solutions for the incompressible Navier–Stokes equations in general co‐ordinates on staggered grids

C. W. Oosterlee*, P. Wesseling, A. Segal, E. Brakkee

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Benchmark problems are solved with the steady incompressible Navier–Stokes equations discretized with a finite volume method in general curvilinear co‐ordinates on a staggered grid. The problems solved are skewed driven cavity problems, recently proposed as non‐orthogonal grid benchmark problems. The system of discretized equations is solved efficiently with a non‐linear multigrid algorithm, in which a robust line smoother is implemented. Furthermore, another benchmark problem is introduced and solved in which a 90° change in grid line direction occurs.

Original languageEnglish
Pages (from-to)301-321
Number of pages21
JournalInternational Journal for Numerical Methods in Fluids
Volume17
Issue number4
DOIs
Publication statusPublished - 30 Aug 1993
Externally publishedYes

Keywords

  • Benchmark solution
  • General co‐ordinates
  • Incompressible Navier–Stokes
  • Multigrid
  • Staggered grid

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