Comptes Rendus
Proper Orthogonal Decomposition of the mixing layer flow into coherent structures and turbulent Gaussian fluctuations
[Décomposition des champs de vitesse turbulents d'une couche de mélange en une partie cohérente et une partie turbulente aléatoire]
Comptes Rendus. Mécanique, Volume 333 (2005) no. 11, pp. 824-829.

La Décomposition Orthogonale aux valeurs Propres est utilisée pour décomposer l'écoulement de couche de mélange plane turbulente en une partie cohérente issue des premiers modes POD et une partie résiduelle incohérente déduit du résidu de ces modes. A partir d'analyses spectrales et des Fonctions Densité de Probabilité du champ de vitesse, on montre que les fluctuations incohérentes sont de nature quasi-gaussienne. Cette décomposition permet d'entrevoir l'amélioration de certaines procédures de génération de conditions d'entrée des simulations numériques et l'analyse des fluctuations cycliques du champ de vitesse dans les écoulements des moteurs à combustion interne.

The Proper Orthogonal Decomposition is used to decompose fluctuating turbulent flows into a coherent non-Gaussian component and background fluctuations. An application is performed from 2D experimental data of a turbulent plane mixing layer flow. The analyses of the energy spectra and the Probability Density Function of the velocity field show that POD extracts an incoherent part approaching the quasi-Gaussian distribution properties. The background fluctuations are homogeneous with small amplitude. New future applications are then conceivable like the modeling of the incoherent part for particular inflow condition generation methodology and the analysis of the cyclic velocity field variabilities in Internal Combustion engine flow.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2005.10.001
Keywords: Turbulence, Proper Orthogonal Decomposition, Coherent structures, Gaussian fluctuations, Plane mixing layer
Mots-clés : Turbulence, Décomposition Orthogonale aux valeurs Propres, Structures cohérentes, Fluctuations gaussiennes, Couche de mélange plane

Philippe Druault 1 ; Joël Delville 2 ; Jean-Paul Bonnet 2

1 Laboratoire de mécanique physique, CNRS FRE 2867, université Pierre et Marie Curie, 2, place de la gare de ceinture, 78210 Saint Cyr l'École, France
2 Laboratoire d'études aérodynamiques, UMR CNRS 6609, université de Poitiers/ENSMA, 43, rue de l'aérodrome, 86036 Poitiers cedex, France
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Philippe Druault; Joël Delville; Jean-Paul Bonnet. Proper Orthogonal Decomposition of the mixing layer flow into coherent structures and turbulent Gaussian fluctuations. Comptes Rendus. Mécanique, Volume 333 (2005) no. 11, pp. 824-829. doi : 10.1016/j.crme.2005.10.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.10.001/

[1] J.P. Bonnet; J. Delville; M.N. Glauser; R.A. Antonia; D.K. Bisset; D.R. Cole; H.E. Fiedler; J.H. Garem; D. Hilberg; J. Jeong; N.K.R. Kevlahan; L.S. Ukeiley; E. Vincendeau Collaborative testing of eddy structure identification methods in free turbulent shear flows, Exp. Fluids, Volume 25 (1998), pp. 197-225

[2] G.J. Brereton; A. Kodal An adaptive filter for decomposition of organized turbulent flows, Phys. Fluids, Volume 6 (1994) no. 5, pp. 1775-1786

[3] M. Farge; K. Schneider; G. Pelligrino; A. Wray; R. Rogallo Coherent vortex extraction in three dimensional homogeneous turbulence: comparison between CVS-wavelet and POD-Fourier decompositions, Phys. Fluids, Volume 15 (2003), pp. 2886-2896

[4] J. Delville; L. Ukeiley; L. Cordier; J.P. Bonnet; M. Glauser Examination of large-scale structures in a turbulent plane mixing layer. Part 1. Proper orthogonal decomposition, J. Fluid Mech., Volume 391 (1999), pp. 91-122

[5] H. Ha Minh La modélisation statistique de la turbulence. Ses capacités et ses limitations, C. R. Acad. Sci. Paris, Ser. IIb, Volume 327 (1999), pp. 343-358

[6] J.L. Lumley The structure of inhomogeneous turbulent flows (Yaglom; Tatarsky, eds.), Atm. Turb. and Radio Wave Prop., Nauka Press, Moscow, 1967, pp. 166-178

[7] J. Delville, La décomposition orthogonale aux valeurs propres et l'analyse de l'organisation tridimensionnelle des écoulements turbulents cisaillés libres, Ph.D. Thesis, University of Poitiers, 1995

[8] J. Lewalle; J. Delville; J.P. Bonnet Decomposition of mixing layer turbulence into coherent structures and background fluctuations, Flow Turb. Comb., Volume 64 (2000), pp. 301-328

[9] Ph. Druault; S. Lardeau; J.P. Bonnet; F. Coiffet; J. Delville; E. Lamballais; J.F. Largeau; L. Perret Generation of three-dimensional turbulent inlet conditions for Large-Eddy Simulation, AIAA J., Volume 42 (2004), pp. 447-456

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  • Mohsen Zarepour; Donald J. Bergstrom; Raymond J. Spiteri Identifying dominant flow structures in a bubbling gas-particle fluidized bed using the spectral proper orthogonal decomposition, Chemical Engineering Science, Volume 293 (2024), p. 120048 | DOI:10.1016/j.ces.2024.120048
  • Xiaoying Dai; Miao Hu; Jack Xin; Aihui Zhou An augmented subspace based adaptive proper orthogonal decomposition method for time dependent partial differential equations, Journal of Computational Physics, Volume 514 (2024), p. 24 (Id/No 113231) | DOI:10.1016/j.jcp.2024.113231 | Zbl:7899001
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  • Guangyun Min; Naibin Jiang Data-driven identification and pressure fields prediction for parallel twin cylinders based on POD and DMD method, Physics of Fluids, Volume 36 (2024) no. 2 | DOI:10.1063/5.0185882
  • Dandan Li; Bidan Zhao; Junwu Wang Data-driven identification of coherent structures in gas–solid system using proper orthogonal decomposition and dynamic mode decomposition, Physics of Fluids, Volume 35 (2023) no. 1 | DOI:10.1063/5.0131112
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  • Lei Cui; Tianyou Wang; Kai Sun; Zhen Lu; Zhizhao Che; Yanzhe Sun, SAE Technical Paper Series, Volume 1 (2017) | DOI:10.4271/2017-01-0558
  • Wenjin Qin; David L.S. Hung; Min Xu Investigation of the temporal evolution and spatial variation of in-cylinder engine fuel spray characteristics, Energy Conversion and Management, Volume 98 (2015), p. 430 | DOI:10.1016/j.enconman.2015.03.093
  • Athanasia Kalpakli Vester; Ramis Örlü; P. Henrik Alfredsson Pulsatile Turbulent Flow in Straight and Curved Pipes – Interpretation and Decomposition of Hot-Wire Signals, Flow, Turbulence and Combustion, Volume 94 (2015) no. 2, p. 305 | DOI:10.1007/s10494-014-9571-3
  • Wenjin Qin; Maozhao Xie; Ming Jia; Tianyou Wang; Daming Liu Analysis of In-Cylinder Turbulent Flows in a DISI Gasoline Engine With a Proper Orthogonal Decomposition Quadruple Decomposition, Journal of Engineering for Gas Turbines and Power, Volume 136 (2014) no. 11 | DOI:10.1115/1.4027658
  • WenJin Qin; MaoZhao Xie; Ming Jia; TianYou Wang; DaMing Liu Large eddy simulation and proper orthogonal decomposition analysis of turbulent flows in a direct injection spark ignition engine: Cyclic variation and effect of valve lift, Science China Technological Sciences, Volume 57 (2014) no. 3, p. 489 | DOI:10.1007/s11431-014-5472-x
  • Alejandro Marquez; Jairo José Espinosa Oviedo; Darci Odloak Model reduction using proper orthogonal decomposition and predictive control of distributed reactor system, Journal of Control Science and Engineering, Volume 2013 (2013), p. 19 (Id/No 763165) | DOI:10.1155/2013/763165 | Zbl:1263.93052
  • Trung-Thanh Vu; Philippe Guibert Proper orthogonal decomposition analysis for cycle-to-cycle variations of engine flow. Effect of a control device in an inlet pipe, Experiments in Fluids, Volume 52 (2012) no. 6, p. 1519 | DOI:10.1007/s00348-012-1268-6
  • Abbas Hekmati; Denis Ricot; Philippe Druault About the convergence of POD and EPOD modes computed from CFD simulation, Computers and Fluids, Volume 50 (2011) no. 1, pp. 60-71 | DOI:10.1016/j.compfluid.2011.06.018 | Zbl:1271.76284
  • Adrien Thacker; Sandrine Aubrun; Annie Leroy; Philippe Devinant, 28th AIAA Applied Aerodynamics Conference (2010) | DOI:10.2514/6.2010-4569
  • Ph. Druault; M. Yu; P. Sagaut Quadratic stochastic estimation of far-field acoustic pressure with coherent structure events in a 2D compressible plane mixing layer, International Journal for Numerical Methods in Fluids, Volume 62 (2010) no. 8, pp. 906-926 | DOI:10.1002/fld.2047 | Zbl:1423.76400
  • Abbas Hekmati; Denis Ricot; Philippe Druault, 15th AIAA/CEAS Aeroacoustics Conference (30th AIAA Aeroacoustics Conference) (2009) | DOI:10.2514/6.2009-3347
  • W L Siauw; J Bonnet; J Tensi; L Cattafesta, 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition (2009) | DOI:10.2514/6.2009-144
  • K. Bizon; G. Continillo; K.C. Leistner; E. Mancaruso; B.M. Vaglieco POD-based analysis of cycle-to-cycle variations in an optically accessible diesel engine, Proceedings of the Combustion Institute, Volume 32 (2009) no. 2, p. 2809 | DOI:10.1016/j.proci.2008.08.010
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