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Examination of wall damping for the k ‐ε turbulence model using direct simulations of turbulent channel flow
Author(s) -
Miner E. Wade,
Swean Thomas F.,
Handler Robert A.,
Leighton Richard I.
Publication year - 1991
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.1650120702
Subject(s) - turbulence , direct numerical simulation , mechanics , turbulence modeling , physics , turbulence kinetic energy , open channel flow , reynolds number , k epsilon turbulence model , isotropy , dissipation , statistical physics , large eddy simulation , flow (mathematics) , thermodynamics , quantum mechanics
Handler, Hendricks and Leighton have recently reported results for the direct numerical simulation (DNS) of a turbulent channel flow at moderate Reynolds number. These data are used to evaluate the terms in the exact and modelled transport equations for the turbulence kinetic energy k and the isotropic dissipation function ε. Both modelled transport equations show significant imbalances in the high‐shear region near the channel walls. The model for the eddy viscosity is found to yield distributions for the production terms which do not agree well with the distributions calculated from the DNS data. The source of the imbalance is attributed to the wall‐damping function required in eddy viscosity models for turbulent flows near walls. Several models for the damping function are examined, and it is found that the models do not vary across the channel as does the damping when evaluated from the DNS data. The Lam‐Bremhorst model and the standard van Driest model are found to give reasonable agreement with the DNS data. Modification of the van Driest model to include an effective origin yields very good agreement between the modelled production and the production calculated from the DNS data, and the imbalance in the modelled transport equations is significantly reduced.