Generalized wall functions and their application for simulation of turbulent flows
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-epsilon 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 (c) 2005 John Wiley G Sons, Ltd.
wall functions turbulence k-epsilon model high-reynolds-number model