Computation of a three-dimensional turbulent flow in a square duct using a cubic eddy-viscosity model

Honoré Gnanga; Hassan Naji; Gilmar Mompean

doi:10.1016/j.crme.2009.02.001

Computation of a three-dimensional turbulent flow in a square duct using a cubic eddy-viscosity model
[Prédiction d'un écoulement turbulent tridimensionnel dans une conduite à section carrée à l'aide d'un modèle cubique à viscosité turbulente]

Présenté par : Olivier Pironneau

Honoré Gnanga ¹ ; Hassan Naji ¹ ; Gilmar Mompean ¹

¹ Université Lille 1 – sciences et technologies, Polytech'Lille, LML – UMR CNRS 8107, boulevard Paul-Langevin, 59655 Villeneuve d'Ascq, France

Comptes Rendus. Mécanique, Volume 337 (2009) no. 1, pp. 15-23.

Résumé
Abstract

L'objectif de ce travail est l'évaluation d'un modèle non-linéaire cubique de turbulence. L'étude menée concerne l'écoulement turbulent dans une conduite à section carrée, configuration qui présente d'une part, une anisotropie importante entre les composantes du tenseur de Reynolds et d'autre part, un écoulement secondaire. Les effets de paroi sont pris en compte via des fonctions d'amortissement. La comparaison des résultats obtenus montre un bon accord avec ceux des simulations directes et des grandes échelles de la littérature. En particulier, l'écoulement secondaire et la vorticité longitudinale sont bien prédits.

The aim of this note is an evaluation of a cubic eddy-viscosity turbulent model. The study is carried out in square duct. This configuration presents a secondary flow and a significant anisotropy between the Reynolds stress components. In order to handle wall-proximity effects in the near-wall region, damping functions are introduced. The comparison of the modified model results with DNS and LES simulations shows good agreements. In particular, the mean secondary velocity and the mean streamwise vorticity are well predicted.

Reçu le : 2008-12-19
Accepté le : 2009-01-05
Publié le : 2009-01-01

DOI : 10.1016/j.crme.2009.02.001

Keywords: Turbulence, Non-linear models, Anisotropy, Computational fluid mechanics, Square duct flow
Mot clés : Turbulence, Modèle non linéaires, Anisotropie, Mécanique des fluides numérique, Écoulement en conduite carrée

Affiliations des auteurs :

Honoré Gnanga ¹ ; Hassan Naji ¹ ; Gilmar Mompean ¹

¹ Université Lille 1 – sciences et technologies, Polytech'Lille, LML – UMR CNRS 8107, boulevard Paul-Langevin, 59655 Villeneuve d'Ascq, France

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     author = {Honor\'e Gnanga and Hassan Naji and Gilmar Mompean},
     title = {Computation of a three-dimensional turbulent flow in a square duct using a cubic eddy-viscosity model},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {15--23},
     publisher = {Elsevier},
     volume = {337},
     number = {1},
     year = {2009},
     doi = {10.1016/j.crme.2009.02.001},
     language = {en},
}

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Honoré Gnanga; Hassan Naji; Gilmar Mompean. Computation of a three-dimensional turbulent flow in a square duct using a cubic eddy-viscosity model. Comptes Rendus. Mécanique, Volume 337 (2009) no. 1, pp. 15-23. doi : 10.1016/j.crme.2009.02.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.02.001/

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