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

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Abstract

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.

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  1. George Begg Building, School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Manchester, UK

    Alistair J. Revell, Tim J. Craft & Dominique R. Laurence

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  1. Alistair J. Revell
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  2. Tim J. Craft
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  3. Dominique R. Laurence
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Correspondence to Alistair J. Revell.

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Revell, A.J., Craft, T.J. & Laurence, D.R. Turbulence Modelling of Unsteady Turbulent Flows Using the Stress Strain Lag Model. Flow Turbulence Combust 86, 129–151 (2011). https://doi.org/10.1007/s10494-010-9297-9

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  • DOI: https://doi.org/10.1007/s10494-010-9297-9

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