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A simplified v 2 – f model for near‐wall turbulence
Author(s) -
Rahman M. M.,
Siikonen T.
Publication year - 2007
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.1411
Subject(s) - turbulence , physics , scaling , sensitivity (control systems) , reynolds number , flow (mathematics) , relaxation (psychology) , bar (unit) , dissipation , mechanics , thermodynamics , geometry , mathematics , meteorology , psychology , social psychology , electronic engineering , engineering
A simplified version of the v 2 – f model is proposed that accounts for the distinct effects of low‐Reynolds number and near‐wall turbulence. It incorporates modified C ε(1,2) coefficients to amplify the level of dissipation in non‐equilibrium flow regions, thus reducing the kinetic energy and length scale magnitudes to improve prediction of adverse pressure gradient flows, involving flow separation and reattachment. Unlike the conventional v 2 – f , it requires one additional equation (i.e. the elliptic equation for the elliptic relaxation parameter f µ ) to be solved in conjunction with the k –ε model. The ${\bar{v}}^2$ scaling is evaluated from k in collaboration with an anisotropic coefficient C v and f µ . Consequently, the model needs no boundary condition on ${\bar{v}}^2$ and avoids free stream sensitivity. The model is validated against a few flow cases, yielding predictions in good agreement with the direct numerical simulation (DNS) and experimental data. Copyright © 2007 John Wiley & Sons, Ltd.