Some new approaches to building and implementation of wall-functions for modeling of near-wall turbulent flows

S. V. Utyuzhnikov

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)

Abstract

To study and develop wall-functions for modeling of near-wall turbulent flows, a linear model equation is introduced. This equation simulates major mathematical peculiarities of the low-Reynolds-number model including a near wall sub-layer and transition region. Dirichlet and Newman boundary-value problems are considered. The standard and analytical wall-functions are investigated on different properties including the mesh sensitivity of a solution. A Robin-type interpretation of wall-functions as boundary conditions is suggested. It is shown that solution of a problem is mesh independent and more accurate in this case. General type analytical and numerical wall-functions are developed on the basis of a boundary condition transfer. An effective numerical method of decomposition is suggested. The method can be used in application to either high-Reynolds-number models with the numerical wall-functions or low-Reynolds-number models directly. Although a model equation is considered, the formulas, methods and conclusions are valid and can be directly used for the Reynolds Averaged Navier-Stokes (RANS) equations.

Original languageEnglish
Pages (from-to)771-784
Number of pages14
JournalComputers and Fluids
Volume34
Issue number7
DOIs
Publication statusPublished - Aug 2005
Externally publishedYes

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