Flow, Turbulence and Combustion

, Volume 86, Issue 1, pp 129–151 | Cite as

Turbulence Modelling of Unsteady Turbulent Flows Using the Stress Strain Lag Model

  • Alistair J. Revell
  • Tim J. Craft
  • Dominique R. Laurence


This paper reports the application of a recently developed turbulence modelling scheme known as the C as model. This model was specifically developed to capture the effects of stress-strain misalignment observed in turbulent flows with mean unsteadiness. Earlier work has reported the approach applied within a linear k-ε modelling framework, and some initial testing of it within the k-ω SST model of Menter (AIAA J 32:1598–1605, 1994). The resulting k-ε-C as and SST-C as models have been shown to result in some of the advantages of a full Reynolds Stress transport Model (RSM), whilst retaining the computational efficiency and stability benefits of a eddy viscosity model (EVM). Here, the development of the the high-Reynolds-number version of the C as model is outlined, with some example applications to steady and unsteady homogeneous shear flows. The SST-C as form of the model is then applied to further, more challenging cases of 2-D flow around a NACA0012 aerofoil beyond stall and the 3-D flow around a circular cylinder in a square duct, both being flows which exhibit large, unsteady, separated flow regions. The predictions returned by a range of other common turbulence modelling schemes are included for comparison and the SST-C as scheme is shown to return generally good results, comparable in some respects to those obtainable from far more complex schemes, for only moderate computing resource requirements.


Turbulence modelling URANS RSM DES Stress strain lag 


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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Alistair J. Revell
    • 1
  • Tim J. Craft
    • 1
  • Dominique R. Laurence
    • 1
  1. 1.George Begg Building, School of Mechanical, Aerospace and Civil EngineeringThe University of ManchesterManchesterUK

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