Predictions of a Supersonic Turbulent Flow in a Square Duct

Mani, Mori; Babcock, Deric; Winkler, Chad; Spalart, Philippe R.

doi:10.2514/6.2013-860

Cited by 93 publications

(56 citation statements)

References 4 publications

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“…However, it has been reported that this new term can lead to unstable results in finite volume solvers, 53 especially grids with mixed elements. 50 For such situations, C cr2 should be set to zero, as corner flow is dominated by the C cr1 term. OVERFLOW includes QCR2000, but the current release of US3D does not include either form of QCR.…”

Section: Ivd Quadratic Constitutive Relationmentioning

confidence: 99%

Supersonic Corner Flow Predictions using the Quadratic Constitutive Relation

Leger

Bisek

Poggie

2015

22nd AIAA Computational Fluid Dynamics Conference

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A series of Reynolds Average Navier-Stokes simulations are performed for a supersonic, wall-bounded, turbulent corner flow. These are compared to a high order, implicit, LargeEddy Simulation for the same geometry and flow conditions. Since the LES results were obtained for a low Reynolds number, near the boundary of the validity for the turbulence models, the comparison of results with the two approaches was qualitative. Inclusion of the Quadratic Constitutive Relation in the Reynolds Average 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 number 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 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.

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Section: Ivd Quadratic Constitutive Relationmentioning

confidence: 99%

Supersonic Corner Flow Predictions using the Quadratic Constitutive Relation

Leger

Bisek

Poggie

2015

22nd AIAA Computational Fluid Dynamics Conference

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“…15,35,36 The implementation of these models is that of OVERFLOW, with the 2.2k version coding used, and the SST model checked directly against the TMR website 15 to ensure that its implementation was consistent with what had been verified earlier. 37 …”

Section: Iib3 Turbulence Modelsmentioning

confidence: 99%

Reynolds-stress and triple-product models applied to flows with rotation and curvature

Olsen

2016

46th AIAA Fluid Dynamics Conference

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Turbulence models, with increasing complexity, up to triple product terms, are applied to the flow in a rotating pipe. The rotating pipe is a challenging case for turbulence models as it contains significant rotational and curvature effects. The flowfield starts with the classic fully developed pipe flow, with a stationary pipe wall. This well defined condition is then subjected to a section of pipe with a rotating wall. The rotating wall introduces a second velocity scale, and creates Reynolds shear stresses in the radial-circumferential and circumferential-axial planes. Furthermore, the wall rotation introduces a flow stabilization, and actually reduces the turbulent kinetic energy as the flow moves along the rotating wall section. It is shown in the present work that the Reynolds stress models are capable of predicting significant reduction in the turbulent kinetic energy, but triple product improves the predictions of the centerline turbulent kinetic energy, which is governed by convection, dissipation and transport terms, as the production terms vanish on the pipe axis. NomenclatureM ∞ free stream Mach number R pipe radius (reference length) R ij Reynolds-stress tensor = u i u j Re τ wall shear Reynolds number [= u τ R/ν w ] S ij strain rate tensor = 1 2 ∂u i ∂x j + ∂u j ∂x i

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“…The Reynolds normal stresses (τ t,11 , τ t, 22 and τ t,33 ) are the main terms of the Reynolds stress tensor concerning intensity. Figure 5 shows that both RANS simulations ( Fig.…”

Section: Reynolds Normal Stressesmentioning

confidence: 99%

“…The version we implemented is the modified one from Mani [22] in order to take into account the compressible part, given that Turb'Flow is a compressible solver:…”

Section: Reynolds-averaged Navier-stokesmentioning

confidence: 99%

Budget Analysis of Turbulent Kinetic Energy in Corner Separation : Rans vs Les

Monier¹,

Gao²,

Boudet³

et al. 2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. The aim of the study is to compare the LES of corner separation, considered as a reference, in the LMFA-NACA65 linear compressor cascade to RANS simulations using Wilcox two-equation models (k − ω). The LES was carried-out by Gao et al. First, the analysis will consider the total pressure losses on a two-dimensional section downstream of the cascade. The Reynolds stresses and the turbulent kinetic energy budget are analysed within the separation region, on a two-dimensional section at the trailing edge of the blade. The RANS simulations mostly overestimate the total pressure losses and the size of the corner separation, compared to the LES and the experiment. The RANS simulations also overestimate the level of the Reynolds stresses and the terms of the turbulent kinetic energy budget, compared to the LES. The quadratic constitutive relation yields some modifications, but not significant enough to have results comparable to LES.

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Predictions of a Supersonic Turbulent Flow in a Square Duct

Cited by 93 publications

References 4 publications

Supersonic Corner Flow Predictions using the Quadratic Constitutive Relation

Supersonic Corner Flow Predictions using the Quadratic Constitutive Relation

Reynolds-stress and triple-product models applied to flows with rotation and curvature

Budget Analysis of Turbulent Kinetic Energy in Corner Separation : Rans vs Les

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