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Generalized wall functions and their application for simulation of turbulent flows
Author(s) -
Utyuzhnikov S. V.
Publication year - 2005
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.873
Subject(s) - turbulence , law of the wall , boundary (topology) , laminar flow , mathematics , generalization , boundary value problem , reynolds number , mechanics , mathematical analysis , physics
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. Copyright © 2005 John Wiley & Sons, Ltd.