Generalized wall-functions for high-Reynolds-number turbulence models

dc.creatorUtyuzhnikov, Sergei V.
dc.date2003-10-22
dc.date.accessioned2026-07-07T05:50:18Z
dc.date.available2026-07-07T05:50:18Z
dc.descriptionGeneralized 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, take into account source terms such as pressure gradient and buoyancy forces, and do not include free parameters. The log-profile assumption is not used in this approach. Both Dirichlet and Newman boundary-value problems are considered. A method for complementing solution near a wall is suggested. Although the generalized wall-functions are realized for the k-epsilon model, generalization to other turbulence models looks quite clear. The general approach suggested is applicable to studying high-temperature regimes with variable laminar viscosity and density. A robust numerical algorithm is proposed for implementation of Robin-type wall-functions. Preliminary test results made for a channel flow showed good accuracy and a weak dependence of the solution on the location of the intermediate boundary where the boundary conditions are set.
dc.descriptionA new approach for development wall-functions in turbulence is suggested. The wall-functions are represented as Robin-type boundary conditions in a differential form. They take into account the influence of source terms such as pressure gradient. The log-profile assumtion is not used in this approach. 21 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/physics/0310109
dc.identifierhttp://arxiv.org/abs/physics/0310109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/85673
dc.subjectComputational Physics
dc.titleGeneralized wall-functions for high-Reynolds-number turbulence models
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