Physical Analysis of an Anisotropic Eddy-Viscosity Concept for Strongly Detached Turbulent Unsteady Flows

  • R. Bourguet
  • M. Braza
  • R. Perrin
  • G. Harran
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 14)

A tensorial eddy-viscosity turbulence model is developed in order to take into account of the structural anisotropy appearing between the mean strain-rate tensor and the Reynolds turbulent stresses in strongly detached high Reynolds number flows. In the framework of the Organised Eddy Simulation, a physical investigation of the misalignment of these two tensor principal directions is performed by means of phase-averaged 3C-PIV measurements in the near-wake of a circular cylinder at Reynolds number 1.4 × 105. Considering the stress—strain misalignment as a local sign of the turbulence non-equilibrium, anisotropic criteria are derived. This leads to a tensorial eddy-viscosity concept which is introduced in the turbulent stress constitutive law. Additional transport equations for the misalignment criteria are derived from a degenerated SSG second order closure scheme. A two-dimensional version of the present model is implemented in the NSMB solver on the basis of a two-equation k−ε isotropic OES model. Numerical simulation results are compared to an experimental dataset concerning the incompressible flow past a NACA0012 airfoil at 20 degrees of incidence and Reynolds number 105.


Turbulence modeling Advanced URANS methods Anisotropic Organised Eddy Simulation 



The numerical implementation was performed in collaboration with Dr. J.B. Vos (Computational Fluid and Structure Engineering, CFSE and Ecole Polytechnique Fédérale de Lausanne, EPFL) and Dr. Y. Hoarau (Institut de Mécanique des Fluides et des Solides, IMFS de Strasbourg) who are gratefully acknowledged. The calculations were performed at the Centre Informatique National de l'Enseignement Supérieur (CINES), the Institut du Développement et des Ressources en Informatique Scientifique (IDRIS) and the Centre Interuniversitaire de Calcul de Toulouse (CICT). The first author was financially supported by the Centre National de la Recherche Scientifique (CNRS) and the Délégation Générale pour l'Armement (DGA).


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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  • R. Bourguet
    • 2
    • 3
  • M. Braza
    • 1
    • 2
  • R. Perrin
    • 2
  • G. Harran
    • 2
  1. 1.Institut de Mécanique des Fluides de ToulouseUnité Mixte de Recherche CNRS 5502ToulouseFrance
  2. 2.Institut de Mecanique des Fluides de ToulouseUMR 5502 CNRS-INPT/UPSToulouseFrance
  3. 3.Department of Mechanical EngineeringMassachusetts Institute of TechnologyCambridgeUSA

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