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.
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.
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Mots-clés : Turbulence, Modèle non linéaires, Anisotropie, Mécanique des fluides numérique, Écoulement en conduite carrée
Honoré Gnanga 1; Hassan Naji 1; Gilmar Mompean 1
@article{CRMECA_2009__337_1_15_0, 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}, }
TY - JOUR AU - Honoré Gnanga AU - Hassan Naji AU - Gilmar Mompean TI - Computation of a three-dimensional turbulent flow in a square duct using a cubic eddy-viscosity model JO - Comptes Rendus. Mécanique PY - 2009 SP - 15 EP - 23 VL - 337 IS - 1 PB - Elsevier DO - 10.1016/j.crme.2009.02.001 LA - en ID - CRMECA_2009__337_1_15_0 ER -
%0 Journal Article %A Honoré Gnanga %A Hassan Naji %A Gilmar Mompean %T Computation of a three-dimensional turbulent flow in a square duct using a cubic eddy-viscosity model %J Comptes Rendus. Mécanique %D 2009 %P 15-23 %V 337 %N 1 %I Elsevier %R 10.1016/j.crme.2009.02.001 %G en %F CRMECA_2009__337_1_15_0
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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