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On the evaluation of linear and non- linear models using DNS data of turbulent channel flows

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2012
auteur(s) Ben Said Hasna; Mompean Gilmar; Naji Hassan
journal (abréviation) Journal of the Brazilian Society of Mechanical Sciences and Engineering (J Braz Soc Mech Sci Eng)
volume (numéro) 34 (4)
pages 469 – 476
résumé In this paper, a priori and a posteriori analysis of algebraic linear and non-linear models are carried out in order to compare their ability to model near wall turbulent flows. Tests were done using data from a direct numerical simulation (DNS) of a plane channel flow for three Reynolds numbers, based on the friction velocity, Reτ=180, Reτ=395 and Reτ=590. These models include the linear standard k-ε model, the linear  -f (Manceau et al., 2002), the non-linear model of Shih (Shih et al., 1995). The results obtained are then compared with the DNS data of Moser et al. (Moser et al., 1999). The comparisons are shown for the mean velocity profile, components of the Reynolds stress tensor, the turbulent kinetic energy (k), and the dissipation rate (ε). The results suggest that the  -f is an efficient model to capture the turbulent shear stress component of the Reynolds stress near wall flows. However, it is unable to predict correctly the anisotropy between normal components. Furthermore, it is shown that the presence of non-linear terms in the Shih model improves the ability to predict this anisotropy.
mots clés Near-wall turbulence, v2 – f model, non-linear model, elliptic relaxation model
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