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Investigation of the equivalence of two hybrid temporal-LES methods based on elliptic blending in separated flows

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.990
pages 934-945

Christophe Friess
Laboratoire M2P2, UMR CNRS 7340 Aix-Marseille Universite / CNRS 38, rue Frederic Joliot-Curie 13451 MARSEILLE Cedex 13

Remi Manceau
Institute Pprime, Dept. Fluid flow, heat transfer and combustion, CNRS-Univ. of Poitiers-ENSMA, France; Lab. de mathematiques et de leurs applications (LMA) CNRS-Universite de Pau et des pays de I'Adour IPRA, avenue de I'universite 64013 Pau, France; Inria Bordeaux-Sud-Ouest, project-team CAGIRE


A criterion was established by Manceau et al. [1] enabling to analytically assess, for some simplified, closeto- equilibrium situations, the equivalence of hybrid RANS/LES methods. In the present paper, this criterion is tested upon the flow over a periodic hill at a bulk Reynolds number of 10595, which involves massive separation, thus strongly departing from equilibrium conditions. Computations are performed using two hybrid methods, TPITM and DES, based on the same subfilter closure model, the modified elliptic blending Reynolds-stress model. Results show (i) a satisfactory comparison with the reference LES results of Breuer et al. [2] and (ii) a strong agreement between T-PITM and DES, thus extending the range of validity of the equivalence criterion established by Manceau et al. [1].

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