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2019 | OriginalPaper | Chapter

On the Resolution of Mean Skin Friction by Hybrid RANS/LES Simulations at High Reynolds Numbers

Authors : N. Renard, S. Deck

Published in: Direct and Large-Eddy Simulation XI

Publisher: Springer International Publishing

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Abstract

This study addresses the following question: how much do the RANS model and the LES-resolved fluctuations contribute to mean skin friction when a Wall-Modelled LES is performed by means of a hybrid RANS/LES strategy (RANS near-wall modelling, LES outer layer resolution)? The paper relies on both Wall-Resolved and Wall-Modelled LES obtained by means of the Zonal Detached Eddy Simulation technique, together with very high Reynolds number predictions provided by RANS boundary layer simulations. A scale decomposition is performed by applying a spectral analysis to a recent physical decomposition of mean skin friction involving the production term of turbulent kinetic energy. The results suggest that half of mean skin friction may be resolved by some hybrid RANS/LES methods used as WMLES at very high Reynolds numbers.

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Literature
1.
go back to reference Aupoix, B.: Couches Limites Bidimensionnelles Compressibles. Descriptif et Mode d’emploi du Code CLICET - Version 2010. Technical Report RT 1/117015 DMAE, Onera, Octobre 2010 Aupoix, B.: Couches Limites Bidimensionnelles Compressibles. Descriptif et Mode d’emploi du Code CLICET - Version 2010. Technical Report RT 1/117015 DMAE, Onera, Octobre 2010
2.
go back to reference Choi, J.-I., Edwards, J.R., Baurle, R.A.: Compressible boundary-layer predictions at high Reynolds number using hybrid LES/RANS methods. AIAA J. 47(9), 2179–2193 (2009)CrossRef Choi, J.-I., Edwards, J.R., Baurle, R.A.: Compressible boundary-layer predictions at high Reynolds number using hybrid LES/RANS methods. AIAA J. 47(9), 2179–2193 (2009)CrossRef
3.
go back to reference Deck, S.: Recent improvements in the Zonal Detached Eddy Simulation (ZDES) formulation. Theor. Comput. Fluid Dyn. 26, 523–550 (2012)CrossRef Deck, S.: Recent improvements in the Zonal Detached Eddy Simulation (ZDES) formulation. Theor. Comput. Fluid Dyn. 26, 523–550 (2012)CrossRef
4.
go back to reference Deck, S., Renard, N., Laraufie, R., Sagaut, P.: Zonal Detached Eddy Simulation (ZDES) of a spatially developing flat plate turbulent boundary layer over the Reynolds number range \(3\,150 \le Re_\theta \le 14\,000\). Phys. Fluids 26, 025116 (2014)CrossRef Deck, S., Renard, N., Laraufie, R., Sagaut, P.: Zonal Detached Eddy Simulation (ZDES) of a spatially developing flat plate turbulent boundary layer over the Reynolds number range \(3\,150 \le Re_\theta \le 14\,000\). Phys. Fluids 26, 025116 (2014)CrossRef
5.
go back to reference Deck, S., Renard, N., Laraufie, R., Weiss, P.-É.: Large scale contribution to mean wall shear stress in high Reynolds number flat plate boundary layers up to \(Re_\theta =13\,650\). J. Fluid Mech. 743, 202–248 (2014)CrossRef Deck, S., Renard, N., Laraufie, R., Weiss, P.-É.: Large scale contribution to mean wall shear stress in high Reynolds number flat plate boundary layers up to \(Re_\theta =13\,650\). J. Fluid Mech. 743, 202–248 (2014)CrossRef
6.
go back to reference DeGraaff, D.B., Eaton, J.K.: Reynolds number scaling of the flat plate turbulent boundary layer. J. Fluid Mech. 422, 319–346 (2000)CrossRef DeGraaff, D.B., Eaton, J.K.: Reynolds number scaling of the flat plate turbulent boundary layer. J. Fluid Mech. 422, 319–346 (2000)CrossRef
7.
go back to reference Eitel-Amor, G., Örlü, R., Schlatter, P.: Simulation and validation of a spatially evolving turbulent boundary layer up to \(Re_\theta = 8\,300\). Int. J. Heat Fluid Flow 47, 57–69 (2014)CrossRef Eitel-Amor, G., Örlü, R., Schlatter, P.: Simulation and validation of a spatially evolving turbulent boundary layer up to \(Re_\theta = 8\,300\). Int. J. Heat Fluid Flow 47, 57–69 (2014)CrossRef
8.
go back to reference Hutchins, N., Marusic, I.: Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 579, 1–28 (2007)CrossRef Hutchins, N., Marusic, I.: Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 579, 1–28 (2007)CrossRef
9.
go back to reference Jones, W.P., Launder, B.E.: The prediction of laminarization with a two-equation model of turbulence. Int. J. Heat Mass Transf. 15(2), 301–314 (1972)CrossRef Jones, W.P., Launder, B.E.: The prediction of laminarization with a two-equation model of turbulence. Int. J. Heat Mass Transf. 15(2), 301–314 (1972)CrossRef
10.
go back to reference Marusic, I., Kunkel, G.J.: Streamwise turbulence intensity formulation for flat-plate boundary layers. Phys. Fluids 15(8), 2461–2464 (2003)CrossRef Marusic, I., Kunkel, G.J.: Streamwise turbulence intensity formulation for flat-plate boundary layers. Phys. Fluids 15(8), 2461–2464 (2003)CrossRef
11.
go back to reference Marusic, I., Uddin, A.K.M., Perry, A.E.: Similarity law for the streamwise turbulence intensity in zero-pressure-gradient turbulent boundary layers. Phys. Fluids 9, 3718–3726 (1997)CrossRef Marusic, I., Uddin, A.K.M., Perry, A.E.: Similarity law for the streamwise turbulence intensity in zero-pressure-gradient turbulent boundary layers. Phys. Fluids 9, 3718–3726 (1997)CrossRef
12.
go back to reference Michel, R., Quémard, C., Durant, R.: Application d’un schéma de longueur de mélange à l’étude des couches limites turbulentes d’équilibre. Note Technique 154, ONERA (1969) Michel, R., Quémard, C., Durant, R.: Application d’un schéma de longueur de mélange à l’étude des couches limites turbulentes d’équilibre. Note Technique 154, ONERA (1969)
13.
go back to reference Piomelli, U.: Wall-layer models for large-eddy simulations. Prog. Aerosp. Sci. 44, 437–446 (2008)CrossRef Piomelli, U.: Wall-layer models for large-eddy simulations. Prog. Aerosp. Sci. 44, 437–446 (2008)CrossRef
14.
go back to reference Renard, N., Deck, S.: On the scale-dependent turbulent convection velocity in a spatially developing flat plate turbulent boundary layer at Reynolds number \(Re_\theta = 13\,000\). J. Fluid Mech. 775, 105–148 (2015)MathSciNetCrossRef Renard, N., Deck, S.: On the scale-dependent turbulent convection velocity in a spatially developing flat plate turbulent boundary layer at Reynolds number \(Re_\theta = 13\,000\). J. Fluid Mech. 775, 105–148 (2015)MathSciNetCrossRef
15.
go back to reference Renard, N., Deck, S.: A theoretical decomposition of mean skin friction generation into physical phenomena across the boundary layer. J. Fluid Mech. 790, 339–367 (2016)MathSciNetCrossRef Renard, N., Deck, S.: A theoretical decomposition of mean skin friction generation into physical phenomena across the boundary layer. J. Fluid Mech. 790, 339–367 (2016)MathSciNetCrossRef
16.
go back to reference Schlatter, P., Örlü, R.: Assessment of direct numerical simulation data of turbulent boundary layers. J. Fluid Mech. 659, 116–126 (2010)CrossRef Schlatter, P., Örlü, R.: Assessment of direct numerical simulation data of turbulent boundary layers. J. Fluid Mech. 659, 116–126 (2010)CrossRef
17.
go back to reference Shur, M.L., Spalart, P.R., Strelets, MKh, Travin, A.K.: A hybrid RANS-LES approach with delayed-DES and wall-modelled LES capabilities. Int. J. Heat Fluid Flow 29, 1638–1649 (2008)CrossRef Shur, M.L., Spalart, P.R., Strelets, MKh, Travin, A.K.: A hybrid RANS-LES approach with delayed-DES and wall-modelled LES capabilities. Int. J. Heat Fluid Flow 29, 1638–1649 (2008)CrossRef
18.
go back to reference Sillero, J.A., Jimenez, J., Moser, R.D.: One-point statistics for turbulent wall-bounded flows at Reynolds numbers up to \(\delta ^+\approx 2000\). Phys. Fluids 25, 105102 (2013)CrossRef Sillero, J.A., Jimenez, J., Moser, R.D.: One-point statistics for turbulent wall-bounded flows at Reynolds numbers up to \(\delta ^+\approx 2000\). Phys. Fluids 25, 105102 (2013)CrossRef
19.
go back to reference Sillero, J.A., Jimenez, J., Moser, R.D.: Two-point statistics for turbulent boundary layers and channels at Reynolds numbers up to \(\delta ^+\approx 2000\). Phys. Fluids 26, 105109 (2014)CrossRef Sillero, J.A., Jimenez, J., Moser, R.D.: Two-point statistics for turbulent boundary layers and channels at Reynolds numbers up to \(\delta ^+\approx 2000\). Phys. Fluids 26, 105109 (2014)CrossRef
Metadata
Title
On the Resolution of Mean Skin Friction by Hybrid RANS/LES Simulations at High Reynolds Numbers
Authors
N. Renard
S. Deck
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-04915-7_48

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