Comparison of Some Preconditioners for the Incompressible Navier-Stokes Equations

X He, C Vuik

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)


In this paper we explore the performance of the SIMPLER, augmented
Lagrangian, ‘grad-div’ preconditioners and their new variants for the two-by-two
block systems arising in the incompressible Navier-Stokes equations. The lid-driven cavity and flow over a finite flat plate are chosen as the benchmark problems. For each problem the Reynolds number varies from a low to the limiting number for a laminar flow.
Original languageEnglish
Pages (from-to)239-261
Number of pages23
JournalNumerical Mathematics: Theory, Methods and Applications
Publication statusPublished - 2016


  • incompressible Navier-Stokes equations
  • two-by-two block systems
  • preconditioners


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