Energy stable wall modeling for the Navier-Stokes equations

Fredrik Laurén, Jan Nordström

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Close to solid walls, at high Reynolds numbers, fluids may develop steep gradients which require a fine mesh for an accurate simulation of the turbulent boundary layer. An often used cure is to use a wall model instead of a fine mesh, with the drawback that modeling is introduced, leading to possibly unstable numerical schemes. In this paper, we leave the modeling aside, take it for granted, and propose a new set of provably energy stable boundary procedures for the incompressible Navier-Stokes equations. We show that these new boundary procedures lead to numerical results with high accuracy even for coarse meshes where data is partially obtained from a wall model.

Original languageEnglish
Article number111046
JournalJournal of Computational Physics
Publication statusPublished - 15 May 2022


  • Ill-posed problems
  • Navier-Stokes equations
  • Penalty procedures
  • Stability
  • Turbulent boundary layer
  • Wall modeling

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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