International audienceIn this work, modeling of the near-wall region in turbulent flows is addressed. A new wall-layer model is proposed with the goal to perform high-Reynolds number large-eddy simulations of wall bounded flows in the presence of a streamwise pressure gradient. The model applies both in the viscous sublayer and in the inertial region, without any parameter to switch from one region to the other. An analytical expression for the velocity field as a function of the distance from the wall is derived from the simplified thin-boundary equations and by using a turbulent eddy coefficient with a damping function. This damping function relies on a modified van Driest formula to define the mixing-length taking into account the presence of a streamwise pressure gradient. The model is first validated by a priori comparisons with direct numerical simulation data of various flows with and without streamwise pressure gradient and with eventual flow separation. Large-eddy simulations are then performed using the present wall model as wall boundary condition. A plane channel flow and the flow over a periodic arrangement of hills are successively considered. The present model predictions are compared with those obtained using the wall models previously proposed by Spalding, Trans. ASME, J. Appl. Mech 28, 243 (2008) and Manhart et al., Theor. Comput. Fluid Dyn. 22, 243 (2008) . It is shown that the new wall model allows for a good prediction of the mean velocity profile both with and without streamwise pressure gradient. It is shown than, conversely to the previous models, the present model is able to predict flow separation even when a very coarse grid is used
Reçu le 20 avril 2009Résumé -La technique de simulation des grandeséchelles (SGE) est utilisée pour simuler l'écoulement dans un aspirateur de centrale hydrauliqueà différents points de fonctionnement. La complexité de la géométrie et le haut nombre de Reynolds de l'écoulement nécessitent l'utilisation de méthodes spécifiques. Ainsi, nous avons développé un traitementà la paroi tenant compteà la fois du frottement pariétal mais aussi du gradient de pression. La technique utilisée pour permettre de générer des conditions d'entrée instationnaires réalistes,à partir de données expérimentales, estégalement détaillée. Les différents régimes d'écoulements résultant de cette configuration sont alors présentés.
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