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An explicit algebraic Reynolds stress model in turbulence
Author(s) -
Rahman M. M.,
Siikonen T.
Publication year - 2006
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.1222
Subject(s) - reynolds stress , turbulence , reynolds stress equation model , k epsilon turbulence model , realizability , vorticity , turbulence modeling , mathematics , direct numerical simulation , reynolds averaged navier–stokes equations , k omega turbulence model , reynolds number , mechanics , benchmark (surveying) , turbulence kinetic energy , statistical physics , physics , algorithm , geology , vortex , geodesy
A new algebraic Reynold stress model is constructed with recourse to the realizability constraints. Model coefficients are made a function of strain and vorticity invariants through calibration by reference to homogeneous shear flow data. The anisotropic production in near‐wall regions is accounted for substantially by modifying the model constants C ε(1, 2) and adding a secondary source term in the ε equation. Hence, it reduces the kinetic energy and length scale magnitudes to improve prediction of adverse pressure gradient flows, involving flow separation and reattachment. To facilitate the evaluation of the turbulence model, some extensively used benchmark cases in the turbulence modelling are convoked. The comparisons demonstrate that the new model maintains qualitatively good agreement with the direct numerical simulation (DNS) and experimental data. Copyright © 2006 John Wiley & Sons, Ltd.