[Décomposition des champs de vitesse turbulents d'une couche de mélange en une partie cohérente et une partie turbulente aléatoire]
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.
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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
@article{CRMECA_2005__333_11_824_0, author = {Philippe Druault and Jo\"el Delville and Jean-Paul Bonnet}, title = {Proper {Orthogonal} {Decomposition} of the mixing layer flow into coherent structures and turbulent {Gaussian} fluctuations}, journal = {Comptes Rendus. M\'ecanique}, pages = {824--829}, publisher = {Elsevier}, volume = {333}, number = {11}, year = {2005}, doi = {10.1016/j.crme.2005.10.001}, language = {en}, }
TY - JOUR AU - Philippe Druault AU - Joël Delville AU - Jean-Paul Bonnet TI - Proper Orthogonal Decomposition of the mixing layer flow into coherent structures and turbulent Gaussian fluctuations JO - Comptes Rendus. Mécanique PY - 2005 SP - 824 EP - 829 VL - 333 IS - 11 PB - Elsevier DO - 10.1016/j.crme.2005.10.001 LA - en ID - CRMECA_2005__333_11_824_0 ER -
%0 Journal Article %A Philippe Druault %A Joël Delville %A Jean-Paul Bonnet %T Proper Orthogonal Decomposition of the mixing layer flow into coherent structures and turbulent Gaussian fluctuations %J Comptes Rendus. Mécanique %D 2005 %P 824-829 %V 333 %N 11 %I Elsevier %R 10.1016/j.crme.2005.10.001 %G en %F CRMECA_2005__333_11_824_0
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/
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