Based on PIV measurements obtained in planes along the main flow direction, a snapshot POD based on the full velocity field is performed. The dominant POD coefficients associated to the mean flow, are interpolated in the whole space domain according to boundary flow properties. From the knowledge of these POD coefficients, the entire mean-flow field is reconstructed and a 3D mean-flow representation is obtained. An application is presented using PIV measurements performed in in-cylinder engine flow.
A partir de mesures PIV du champ de vitesse, une nouvelle application de la snapshot POD est proposée pour reconstruire entièrement le champ moyen de vitesse. Les coefficients POD relatifs au champ moyen sont interpolés dans le domaine d'étude en respectant les propriétés de l'écoulement aux frontières de ce domaine. Connaissant ces coefficients et les fonctions propres POD, le champ de vitesse moyen est alors reconstruit. Une application est proposée à partir de données obtenues dans le cylindre d'un moteur à combustion interne.
Accepted:
Published online:
Mot clés : Turbulence, Décomposition orthogonale aux valeurs propres, PIV, Structure tourbillonnaire de grande échelle
Philippe Druault 1; Christophe Chaillou 1
@article{CRMECA_2007__335_1_42_0, author = {Philippe Druault and Christophe Chaillou}, title = {Use of {Proper} {Orthogonal} {Decomposition} for reconstructing the {3D} in-cylinder mean-flow field from {PIV} data}, journal = {Comptes Rendus. M\'ecanique}, pages = {42--47}, publisher = {Elsevier}, volume = {335}, number = {1}, year = {2007}, doi = {10.1016/j.crme.2006.11.004}, language = {en}, }
TY - JOUR AU - Philippe Druault AU - Christophe Chaillou TI - Use of Proper Orthogonal Decomposition for reconstructing the 3D in-cylinder mean-flow field from PIV data JO - Comptes Rendus. Mécanique PY - 2007 SP - 42 EP - 47 VL - 335 IS - 1 PB - Elsevier DO - 10.1016/j.crme.2006.11.004 LA - en ID - CRMECA_2007__335_1_42_0 ER -
%0 Journal Article %A Philippe Druault %A Christophe Chaillou %T Use of Proper Orthogonal Decomposition for reconstructing the 3D in-cylinder mean-flow field from PIV data %J Comptes Rendus. Mécanique %D 2007 %P 42-47 %V 335 %N 1 %I Elsevier %R 10.1016/j.crme.2006.11.004 %G en %F CRMECA_2007__335_1_42_0
Philippe Druault; Christophe Chaillou. Use of Proper Orthogonal Decomposition for reconstructing the 3D in-cylinder mean-flow field from PIV data. Comptes Rendus. Mécanique, Volume 335 (2007) no. 1, pp. 42-47. doi : 10.1016/j.crme.2006.11.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.11.004/
[1] Experimental 3D analysis of the large scale behaviour of a plane turbulent mixing layer, Flow Turb. Comb., Volume 74 (2005) no. 2, pp. 207-233
[2] Aerodynamic data reconstruction and inverse design using proper orthogonal decomposition, AIAA J., Volume 42 (2004) no. 8, pp. 1505-1516
[3] Three-dimensional phase averaging of time resolved PIV measurement data, Meas. Sci. Tech., Volume 12 (2001), pp. 655-662
[4] Use of Proper Orthogonal Decomposition for time interpolation from PIV data, Exp. Fluids, Volume 39 (2005) no. 6, pp. 1009-1023
[5] Turbulent flow around a surface-mounted obstacle using 3D-3C DPIV, Exp. Fluids, Volume 33 (2002), pp. 854-862
[6] Internal Combustion Engine Fundamentals, McGraw–Hill Book Company, New York, 1988
[7] The structure of inhomogeneous turbulent flows (A.M. Yaglom; V.I. Tatarsky, eds.), Proc. Atm. Turb. and Radio Wave Prop., Nauka, Moscow, 1967, pp. 166-178
[8] Turbulence and the dynamics of coherent structures. Part I: Coherent structures, Q. Appl. Math., Volume XLV (1987), pp. 561-571
[9] Turbulence, Coherent Structures, Dynamical Systems and Symmetry, Cambridge Monograph on Mechanics, 1996
[10] Représentation du tenseur de corrélation spatiale de vitesse en écoulements turbulents libres, C. R. Acad. Sci., Paris, Sér. IIb, Volume 238 (2000) no. 2, pp. 135-141
[11] Generation of three-dimensional turbulent inlet conditions for Large-Eddy Simulation, AIAA J., Volume 42 (2004), pp. 447-456
[12] Swirl characterization in steady and unsteady flows with PIV measurements, Int. J. Vehicle Design, Volume 39 (2005) no. 4, pp. 383-402
[13] Proper orthogonal decomposition of in-cylinder engine flow into mean component, coherent structures and random Gaussian fluctuations, J. Turbulence, Volume 7 (2006) no. 70, pp. 1-19
[14] J.C. Hunt, A.A. Wray, P. Moin, Eddies, stream, and convergence zones in turbulent flows, in: Proc. of the 1988 Summer Program, Report CTR-S88, 1988, pp. 193–208
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