Robin-type wall functions and their numerical implementation

S. V. Utyuzhnikov

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)


The paper is devoted to numerical implementation of the wall functions of Robin-type for modeling near-wall turbulent flows. The wall functions are based on the transfer of a boundary condition from a wall to some intermediate boundary near the wall. The boundary conditions on the intermediate boundary are of Robin-type and represented in a differential form. The wall functions are formulated in an analytical easy-to-implement form, can take into account the source terms, and do not include free parameters. The relation between the wall functions of Robin type and the theory of Calderon-Ryaben'kii's potentials is demonstrated. A universal robust approach to the implementation of the Robin-type wall functions in finite-volume codes is provided. The example of an impinging jet is considered.

Original languageEnglish
Pages (from-to)1521-1533
Number of pages13
JournalApplied Numerical Mathematics
Issue number10
Publication statusPublished - Oct 2008
Externally publishedYes


  • Approximation
  • Boundary condition transfer
  • Difference potential method
  • Impinging jet
  • Nonlocal boundary conditions
  • Potentials
  • Robin boundary conditions
  • Turbulence
  • Wall functions


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