dorsal/arxiv
View SchemaGeneralized wall-functions for high-Reynolds-number turbulence models
| Authors | Sergei V. Utyuzhnikov |
|---|---|
| Categories | |
| ArXiv ID | physics/0310109 |
| URL | https://arxiv.org/abs/physics/0310109 |
Abstract
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, 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.
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"abstract": "Generalized wall-functions in application to high-Reynolds-number turbulence\nmodels are derived. The wall-functions are based on transfer of a boundary\ncondition from a wall to some intermediate boundary near the wall (usually the\nfirst nearest to a wall mesh point but that is not obligatory). The boundary\nconditions on the intermediate boundary are of Robin-type and represented in a\ndifferential form. The wall-functions are obtained in an analytical\neasy-to-implement form, take into account source terms such as pressure\ngradient and buoyancy forces, and do not include free parameters. The\nlog-profile assumption is not used in this approach. Both Dirichlet and Newman\nboundary-value problems are considered. A method for complementing solution\nnear a wall is suggested. Although the generalized wall-functions are realized\nfor the k-epsilon model, generalization to other turbulence models looks quite\nclear. The general approach suggested is applicable to studying\nhigh-temperature regimes with variable laminar viscosity and density. A robust\nnumerical algorithm is proposed for implementation of Robin-type\nwall-functions. Preliminary test results made for a channel flow showed good\naccuracy and a weak dependence of the solution on the location of the\nintermediate boundary where the boundary conditions are set.",
"arxiv_id": "physics/0310109",
"authors": [
"Sergei V. Utyuzhnikov"
],
"categories": [
"physics.comp-ph"
],
"title": "Generalized wall-functions for high-Reynolds-number turbulence models",
"url": "https://arxiv.org/abs/physics/0310109"
},
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