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Anisotropic Reynolds stress tensor representation in shear flows using DNS and experimental data

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2016
auteur(s) Nieckele A.O.; Thompson Roney L.; Mompean Gilmar
journal (abréviation) Journal of Turbulence (Journal of Turbulence)
volume (numéro) 17 (6)
pages 602 – 632
résumé Tensorial decompositions and projections are used to study the performance of algebraic non-linear models and predict the anisotropy of the Reynolds stresses. Direct numerical simulation (DNS) data for plane channel flows at friction Reynolds number (Reτ = 180, 395, 590, 1000), and for the boundary layer using both DNS (Reτ = 359, 830, 1271) and experimental data (Reτ = 2680, 3891, 4941, 7164) are used to build and evaluate the models. These data are projected into tensorial basis formed from the symmetric part of mean velocity gradient and non-persistence-of-straining tensor. Six models are proposed and their performances are investigated. The scalar coefficients for these six different levels of approximations of the Reynolds stress tensor are derived, and made dimensionless using the classical turbulent scales, the kinetic turbulent energy (κ) and its dissipation rate (ε). The dimensionless coefficients are then coupled with classical wall functions. One model is selected by comparing the predicted Reynolds stress components with experimental and DNS data, presenting a good prediction for the shear and normal Reynolds stresses.
mots clés Reynolds stress modeling, eddy viscosity, tensor decomposition
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