One-Equation RG Hybrid RANS/LES Modelling

  • C. De Langhe
  • J. Bigda
  • K. Lodefier
  • E. Dick
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design book series (NNFM, volume 97)


A one-equation variant of a previously developed two-equation, renormalization group (RG) based, hybrid RANS/LES model is presented. The model has a transport equation for the mean dissipation rate and an algebraically prescribed length scale. The length scale is proportional to the wall distance in RANS regions of the flow and to the filter width in LES regions. A near-wall formulation is used in the manner of Yakhot and Orszag’s RNG modelling. The only free parameter entering the low-Reynolds formulation has been calibrated against channel flow, and the value corresponds well with experimental values for the same parameter obtained for decaying homogeneous isotropic turbulence. Applications to an impinging jet and a plane asymmetric diffuser are presented.


Renormalization Group Turbulent Kinetic Energy Filter Width Shear Stress Profile Dynamic Smagorinsky Model 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • C. De Langhe
    • 1
  • J. Bigda
    • 2
  • K. Lodefier
    • 1
  • E. Dick
    • 1
  1. 1.Ghent UniversityBelgium
  2. 2.Silesian University of TechnologyPoland

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