Introduction of Wall Effects into Explicit Algebraic Stress Models Through Elliptic Blending

  • Abdou G. Oceni
  • Rémi Manceau
  • Thomas B. Gatski
Part of the ERCOFTAC Series book series (ERCO, volume 14)

Abstract

In order to account for the non-local blocking effect of the wall, responsible for the two-component limit of turbulence, in explicit algebraic models, the elliptic blending strategy, a simplification of the elliptic relaxation strategy, is used. The introduction of additional terms, dependent on a tensor built on a pseudo-wall-normal vector, yields an extension of the integrity basis used to derive the analytical solution of the algebraic equation. In order to obtain a tractable model, the extended integrity basis must be truncated, even in 2D plane flows, contrary to standard explicit algebraic models. Four different explicit algebraic Reynolds-stress models are presented, derived using different choices for the truncated basis. They all inherit from their underlying Reynolds-stress model, the Elliptic Blending Model, a correct reproduction of the blocking effect of the wall and, consequently, of the two-component limit of turbulence. The models are satisfactorily validated in plane Poiseuille flows and several configurations of Couette–Poiseuille flows.

Keywords

Reynolds Stress Poiseuille Flow Reynolds Stress Model Integrity Basis Galerkin Projection 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Abdou G. Oceni
    • 1
  • Rémi Manceau
    • 1
  • Thomas B. Gatski
    • 1
  1. 1.Laboratoire d’études aérodynamiques (LEA)Université de Poitiers, ENSMA, CNRSFuturoscope Chasseneuil CedexFrance

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