New wall laws for the unsteady incompressible Navier-Stokes equations on rough domains

Gabriel R. Barrenechea, Patrick Le Tallec, Frédéric Valentin

Research output: Contribution to journalArticle

9 Citations (Scopus)


Different effective boundary conditions or wall laws for unsteady incompressible Navier-Stokes equations over rough domains are derived in the laminar setting. First and second order unsteady wall laws are proposed using two scale asymptotic expansion techniques. The roughness elements are supposed to be periodic and the influence of the rough boundary is incorporated through constitutive constants. These constants are obtained by solving steady Stokes problems and so they are calculated only once. Numerical tests are presented to validate and compare the proposed boundary conditions.
Original languageEnglish
Pages (from-to)177-203
Number of pages26
JournalESAIM: Mathematical Modelling and Numerical Analysis
Issue number2
Publication statusPublished - 2002



  • Wall law
  • Navier-Stokes equations
  • asymptotic analysis
  • rough boundary
  • mathematical modelling
  • numerical analysis

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