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ACCOUNTING FOR WALL-INDUCED REYNOLDS STRESS ANISOTROPY IN EXPLICIT ALGEBRAIC STRESS MODELS

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

Resumo

The paper is devoted to the derivation of an Explicit Algebraic Stress Model sensitized to the nonlocal blocking effect of the wall through elliptic relaxation. The model is based on the Elliptic Blending Model (Manceau and Hanjalic, 2002), which is projected on a three-term tensorial basis, leading to a three equation transport model (k−ε−α), where a is the elliptic blending function. The model is able to reproduce the two-component limit of turbulence and, in particular, the crucial limiting value of the wall-normal anisotropy b22 = −1/3 at the wall. The model is shown to perform very well in channel flows at different Reynolds numbers. A comparison with the full Reynolds stress model with elliptic relaxation (13 differential equations) highlights the interest of the approach.