Generalized wall functions and their application for simulation of turbulent flows

S. V. Utyuzhnikov

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


Generalized wall functions in application to high-Reynolds-number turbulence models are derived. The wall functions are based on transfer of a boundary condition from a wall to some intermediate boundary near the wall (usually the first nearest to a wall mesh point but that is not obligatory). The boundary conditions on the intermediate boundary are of Robin-type and represented in a differential form. The wall functions are obtained in an analytical easy-to-implement form, taking into account source terms such as pressure gradient, and do not include free parameters. The log-profile assumption is not used in this approach. Although the generalized wall functions are obtained for the k-ε model, generalization to other turbulence models is straightforward. The general approach suggested can be applied for studying high-temperature regimes with variable laminar viscosity and density.

Original languageEnglish
Pages (from-to)1323-1328
Number of pages6
JournalInternational Journal for Numerical Methods in Fluids
Issue number10-11
Publication statusPublished - 10 Apr 2005
Externally publishedYes


  • High-Reynolds-number model
  • k-ε model
  • Turbulence
  • Wall functions


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