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An eddy viscosity model with near‐wall modifications
Author(s) -
Rahman M. M.,
Siikonen T.
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.1034
Subject(s) - turbulence modeling , mechanics , turbulence , reynolds number , reynolds stress , dissipation , isotropy , reynolds stress equation model , large eddy simulation , viscosity , physics , flow (mathematics) , anisotropy , turbulence kinetic energy , direct numerical simulation , statistical physics , thermodynamics , k omega turbulence model , optics
Abstract An extended version of the isotropic k –ε model is proposed that accounts for the distinct effects of low‐Reynolds number (LRN) and wall proximity. It incorporates a near‐wall correction term to amplify the level of dissipation in nonequilibrium flow regions, thus reducing the kinetic energy and length scale magnitudes to improve prediction of adverse pressure gradient flows, involving flow separation and reattachment. The eddy viscosity formulation maintains the positivity of normal Reynolds stresses and the Schwarz' inequality for turbulent shear stresses. The model coefficients/functions preserve the anisotropic characteristics of turbulence. The model is validated against a few flow cases, yielding predictions in good agreement with the direct numerical simulation (DNS) and experimental data. Comparisons indicate that the present model is a significant improvement over the standard eddy viscosity formulation. Copyright © 2005 John Wiley & Sons, Ltd.