Turbulence Modelling of Strongly Detached Unsteady Flows: The Circular Cylinder

  • A. Revell
  • T. Craft
  • D. Laurence
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design book series (NNFM, volume 97)


This paper reports the predictions of three turbulence modelling schemes in the application to the flow around a circular cylinder in a square duct. A URANS scheme known as the Stress-Strain Lag model has been developed in the DESider project, specifically to capture the effects of stress-strain misalignment observed in unsteady mean turbulent flows (Revell, 2006). Coupling of the Lag model with the popular k -ω SST model, to form the so-called SST-Cas model, has been shown to incorporate some of the advantages of a full Reynolds Stress transport Model (RSM), whilst retaining the efficiency and stability benefits of a eddy viscosity model (EVM) (Revell et al., 2006, 2007).

This paper first presents 2-D results of the cylinder case, before examining the fully 3-D case, which is also calculated using the SST-DES approach.


Particle Image Velocimetry Circular Cylinder Particle Image Velocimetry Data Eddy Viscosity Model Detach Eddy Simulation 
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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  1. Archambeau, F., Mechitoua, N., Sakiz, M.: A finite volume method for the computation of turbulent incompressible flows- industrial applications. Int. J. Finite Volumes 1, 1–62 (2004)MathSciNetGoogle Scholar
  2. Craft, T.J., Launder, B.E., Suga, K.: Development and application of cubic eddy viscosity model of turbulence. Int. J. Heat Fluid Flow 17, 108–115 (1996)CrossRefGoogle Scholar
  3. Cantwell, B., Cole, D.: An experimental study of entrainment and transport in the turbulent wake of a circular cylinder. J. Fluid Mech. 136, 321–374 (1983)CrossRefGoogle Scholar
  4. Perrin, R., et al.: Near-wake turbulence properties in the high Reynolds incompressible flow around a circular cylinder by 2C and 3C PIV. In: Proc. ETMM6 Conf., Sardinia, Italy, pp. 441–450 (2005)Google Scholar
  5. Hadžić, I., Hanjalić, K., Laurence, D.: Modeling the response of turbulence subjected to cyclic irrotational strain. Phys. Fluids 13(6), 1740–1747 (2002)Google Scholar
  6. Menter, F.R.: Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J. 32, 1598–1605 (1994)CrossRefGoogle Scholar
  7. Olsen, M.E., Coakley, T.J.: The lag model, a turbulence model for non-equilibrium flows. AIAA Paper 2001-2564 (2001)Google Scholar
  8. Revell, A.: A stress-strain lag Eddy viscosity model for mean unsteady turbulent flows. PhD thesis, University of Manchester (2006)Google Scholar
  9. Revell, A., et al.: A stress strain lag eddy viscosity model for unsteady mean flow. Int. J. Heat Fluid Flow 27, 821–830 (2006)CrossRefGoogle Scholar
  10. Revell, A., Iaccarino, G., Wu, X.: Advanced RANS modeling of wingtip vortex flows. In: Proceedings of the 2006 Summer Program, CTR, Stanford, USA, pp. 73–86 (2006)Google Scholar
  11. Revell, A., Duraisamy, K., Iaccarino, G.: Advanced turbulence modelling of wingtip vortices. In: TSFP5, Munich, Germany, August 27–29, 2007 (to be presented, 2007)Google Scholar
  12. Rotta, J.C.: A family of turbulence models for three-dimensional thin shear layers. In: Durst, F. (ed.) TSF1, Berlin, pp. 267–278 (1979)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • A. Revell
    • 1
  • T. Craft
    • 1
  • D. Laurence
    • 1
    • 2
  1. 1.University of ManchesterUK
  2. 2.EDFFrance

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