Turbulence Modelling of Unsteady Turbulent Flows Using the Stress Strain Lag Model |
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Authors: | Alistair J Revell Tim J Craft Dominique R Laurence |
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Institution: | 1.George Begg Building, School of Mechanical, Aerospace and Civil Engineering,The University of Manchester,Manchester,UK |
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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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Keywords: | |
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