Recent progress in the development of the Elliptic Blending Reynolds-stress model

Manceau, Rémi

doi:10.1016/j.ijheatfluidflow.2014.09.002

Cited by 81 publications

(55 citation statements)

References 87 publications

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“…is modeled using an adaptation of the Elliptic-Blending Reynolds-Stress model [30,31] to the hybrid temporal LES framework [10]. In this equation, similar to the case of the Reynolds-stress transport equation used in RANS, P i j sfs , ε i j sfs , φ * i j sfs…”

Section: Computational Validationmentioning

confidence: 99%

Toward an equivalence criterion for Hybrid RANS/LES methods

2015

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A criterion is established to assess the equivalence between hybrid RANS/LES methods, called H-equivalence, based on the modeled energy of the unresolved scales, which leads to similar low-order statistics of the resolved motion. Different equilibrium conditions are considered, and perturbation analyses about the equilibrium states are performed. The procedure is applied to demonstrate the equivalence between two particular hybrid methods, and leads to relationships between hybrid method parameters that control the partitioning of energy between the resolved and unresolved scales of motion. This equivalence is validated by numerical results obtained for the cases of plane and periodically constricted channel flows. This concept of H-equivalence makes it possible to view different hybrid methods as models for the same system of equations: as a consequence, detached-eddy simulation (DES), which is shown to be H-equivalent to the temporal partially integrated transport model (T-PITM) in inhomogeneous, stationary situations, can be interpreted as a model for the subfilter stress involved in the temporally filtered Navier-Stokes equations.

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Section: Computational Validationmentioning

confidence: 99%

Toward an equivalence criterion for Hybrid RANS/LES methods

2015

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“…The elliptic relaxation model is based on the solution of six elliptic equations to adjust any homogeneous redistribution model to yield the correct near wall behavior. More recently, a simpler albeit slightly less accurate model that solves only one additional elliptic equation was proposed by Manceau et al [5][6][7] The model is based on an blending between any homogeneous redistribution model like the LRR model 8 or the SSG model 9 and a near wall redistribution model that has the desired asymptotic behavior. The blending variable is based on the solution of a elliptic equation.…”

Section: Introductionmentioning

confidence: 99%

Application of an Elliptic Blending Reynolds Stress Model in Attached and Separated ﬂows (Invited)

Stoellinger

Roy

Ashton

2015

22nd AIAA Computational Fluid Dynamics Conference

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A novel Reynolds stress model is presented that can be integrated up to the wall through the use of an elliptic blending of a near wall model for the pressure redistribution term and a homogeneous model farther away from the wall. The main novelty of the proposed model consists in using the homogeneous dissipation rate of turbulent kinetic energy ε h instead of ε to model the anisotropic dissipation rate tensor. The model parameters are calibrated by using DNS results for a plane channel flow with a friction Reynolds number of Reτ = 2000. The accuracy of the model is further demonstrated for the channel flow at Reτ = 1000, 4200, and 52000 through comparison with DNS data. To test the model performance in separated flows the periodic hill flow at several Reynolds numbers (Re b = 2800, 5600, 10600, 37000) is considered. For the hill flow, the model performs reasonable well showing slightly better results when compared to results obtained with the Menter's SST k −ω model although both models fail to reproduce the high turbulence levels in the initial separated shear layer. Two external aerodynamics problems are studied in addition to the internal flows: the NACA 0012 at varying angles of attack and the NACA 4412 with a trailing edge separation (Aoa = 12 o ). The flow over the NACA 0012 airfoil is considered for Rec = 10 6 at angles of attack AoA = 0,5,10,15,16,17,18,19. For the lower angles of attack AoA < 17 o the new Reynolds stress model predictions for lift and drag are in close agreement with the experimental values and also agree with the SST model predictions. For the highest angle of attack AoA = 19 o the Reynolds stress model predicts flow separation and thus the lift and drag results are closer to the experimental values when compared to the SST model results. A similar result is found for the 2D NACA 4412 airfoil with trailing edge separation case (AoA = 12 o ). For the cases considered in this study the new Reynolds stress model was very robust but provided only small improvements over the two-equation model results in the flows with separation. Further calibration of the model parameters in a flow with separation could improve the results and will be considered as a next step.

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“…The RSMeb model is a modification of the standard Elliptic Blending model by Manceau 23 . The main novelty is given by the use of the homogeneous dissipation rate ε h as the scale providing equation.…”

Section: A Elliptic Blending Rsm Modelmentioning

confidence: 99%

“…where f α = α 3 is the blending function which is based on the variable α that defines the "closeness" to a solid wall and that satisfies an elliptic equation 23 :…”

Section: A Elliptic Blending Rsm Modelmentioning

confidence: 99%

Computation of Turbulent Flow in a Rotating Pipe using the Elliptic Blending Reynolds Stress Model

Ashton

Stoellinger

2016

46th AIAA Fluid Dynamics Conference

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The flow through a axially rotating pipe is examined using the open-source code OpenFOAM for both standard eddy-viscosity models (Spalart-Allmaras & k − ω SST) and a low-Reynolds number Elliptic Blending Reynolds Stress Model with a homogenous turbulent dissipation rate equation. Corrections to the length-scale determining equation for rotation, based upon the work of Hellsten et al. (1998), are evaluated for both the SST and EB-RSM models. It is shown that for models with or without a rotation correction, the EB-RSM offered improved results over the SST model, better capturing the level of turbulence suppression and the parabolic circumferential velocity profile. A clear improvement to both the SST and EB-RSM models is observed when a Richardson correction is applied to the length-scale determining equations, resulting in much closer agreement to the experimental data. The results for the EB-RSM with this correction are in good agreement with previous studies and further improvements to the turbulent diffusion model would likely improve the correlation to the experiment even further. The performance of the SST model is better than expected although the reliance of both models on the Richardson correction suggests further work is needed to thoroughly assess the formulation of such corrections for a wider range of flows.

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Recent progress in the development of the Elliptic Blending Reynolds-stress model

Cited by 81 publications

References 87 publications

Toward an equivalence criterion for Hybrid RANS/LES methods

Toward an equivalence criterion for Hybrid RANS/LES methods

Application of an Elliptic Blending Reynolds Stress Model in Attached and Separated ﬂows (Invited)

Computation of Turbulent Flow in a Rotating Pipe using the Elliptic Blending Reynolds Stress Model

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