Structure des développements de distorsion rapide à petits temps en turbulence homogène

Jean Piquet

doi:10.1016/j.crme.2004.11.004

Structure des développements de distorsion rapide à petits temps en turbulence homogène
[On the closure of rapid terms for rotational mean flows]

Presented by: Pierre Perrier

Jean Piquet ¹

¹ Laboratoire de mécanique des fluides, UMR 6598 CNRS, École centrale de Nantes, BP 92101, 44321 Nantes cedex, France

Comptes Rendus. Mécanique, Volume 333 (2005) no. 3, pp. 257-263.

Abstract
Résumé

For small times following the distortion of an isotropic state, rapid-distortion theory provides the tensorial form of one-point correlation expansions for homogeneous rotational turbulent mean flows. It is considered that the consistency with such expansions must be satisfied by any closure model. The Note describes the general structure of these expansions as well as some of their properties. It is shown how cumulated effects (strain and rotation) are involved.

A petits temps suivant la distorsion d'un état isotrope, la théorie de distorsion rapide fournit la forme tensorielle des développements des grandeurs turbulentes en un point pour les écoulements turbulents homogènes rotationnels en moyenne. Il est considéré que la consistance avec de tels développements doit être assurée pour tout modèle de fermeture. La note décrit la structure générale de ces développements et examine certaines de leurs propriétés. Il est montré comment les effets cumulés (de déformation et de rotation) sont mis en jeu.

Received: 2004-09-29
Accepted: 2004-11-04
Published online: 2005-01-18

DOI: 10.1016/j.crme.2004.11.004

Mots-clés : Mécanique des fluides, Turbulence, Distorsion rapide, Pression-déformation
Keywords: Fluid mechanics, Turbulence, Realisability, Pressure-strain

Author's affiliations:

Jean Piquet ¹

¹ Laboratoire de mécanique des fluides, UMR 6598 CNRS, École centrale de Nantes, BP 92101, 44321 Nantes cedex, France

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     author = {Jean Piquet},
     title = {Structure des d\'eveloppements de distorsion rapide \`a petits temps en turbulence homog\`ene},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {257--263},
     publisher = {Elsevier},
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     doi = {10.1016/j.crme.2004.11.004},
     language = {fr},
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Jean Piquet. Structure des développements de distorsion rapide à petits temps en turbulence homogène. Comptes Rendus. Mécanique, Volume 333 (2005) no. 3, pp. 257-263. doi : 10.1016/j.crme.2004.11.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.11.004/

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