Supersonic Corner Flow Predictions Using the Quadratic Constitutive Relation

A series of Reynolds-averaged Navier–Stokes simulations is performed for a supersonic wall-bounded turbulent corner flow. These simulations are compared to a high-order implicit large-eddy simulation for the same geometry and flow conditions. Inclusion of the quadratic constitutive relation in the R...

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Bibliographic Details
Published in:AIAA journal 2016-07, Vol.54 (7), p.2077-2088
Main Authors: Leger, Timothy, Bisek, Nicholas, Poggie, Jonathan
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Constitutive relationships
Corner flow
Finite difference method
Flow control
Fluid flow
Large eddy simulation
Navier-Stokes equations
Qualitative analysis
Reynolds number
Secondary flow
Simulation
Solvers
Turbulence models
Turbulent flow
Vortices
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Summary:A series of Reynolds-averaged Navier–Stokes simulations is performed for a supersonic wall-bounded turbulent corner flow. These simulations are compared to a high-order implicit large-eddy simulation for the same geometry and flow conditions. Inclusion of the quadratic constitutive relation in the Reynolds-averaged Navier–Stokes simulation results in significant improvement in qualitative agreement with the large-eddy simulation: specifically, the presence of secondary flow (a counter-rotating vortex pair). The range of valid values for the constant in the quadratic constitutive relation formulation is explored. Additionally, the effects on this range from different turbulence models and momentum thickness Reynolds numbers for the corner are also examined. These effects of the quadratic constitutive relation are explored using both the finite difference fluid solver OVERFLOW and the finite volume fluid solver US3D. The results indicate that the quadratic constitutive relation term directly affects the strength of the vortex pair in the secondary flow and that its influence appears directly dependent on all the aforementioned parameters.
ISSN:0001-1452
1533-385X
DOI:10.2514/1.J054732