Various aspects of fluid vortices

Ivan Delbende; Thomas Gomez; Christophe Josserand; Caroline Nore; Maurice Rossi

doi:10.1016/j.crme.2004.04.003

Various aspects of fluid vortices

Presented by: Article written at the invitation of the Editors

Ivan Delbende ^1,²; Thomas Gomez ^2,³; Christophe Josserand ³ ; Caroline Nore ^1,⁴; Maurice Rossi ³

¹ LIMSI-CNRS, BP 133, 91403 Orsay cedex, France
² Université Paris VI, 4, place Jussieu, 75252 Paris cedex 05, France
³ LMM-CNRS, case 162, 4, place Jussieu, 75252 Paris cedex 05, France
⁴ Université Paris XI, 91405 Orsay cedex, France

Comptes Rendus. Mécanique, Volume 332 (2004) no. 9, pp. 767-781.

Abstract
Résumé

A general review of the current research in vortex dynamics is presented, based on contributions given during a workshop held in May 2003 at Porquerolles, France. This article aims at providing a picture of the work performed on this subject in the French community. Various cases are covered, from 2D vortex patches to 3D vortex tubes; from isolated vortices to shear flows. Different contexts are considered: pure Euler and Navier–Stokes flows as well as stratified, rotating and magnetic flows.

Nous présentons une revue des recherches actuellement menées dans le domaine de la dynamique des tourbillons. Elle s'appuie sur les travaux exposés lors de la conférence « Tourbillons en hydrodynamique » qui s'est tenue à Porquerolles en mai 2003. Les sujets abordés couvrent un large éventail thématique : du tourbillon bidimensionnel au tube de vorticité tridimensionnel, qu'il soit isolé ou au sein de couches cisaillées. Ces écoulements sont étudiés dans le cadre des équations d'Euler ou de Navier–Stokes et sont éventuellement soumis à des effets de stratification, de Coriolis ou de champ magnétique.

Received: 2004-02-18
Accepted: 2004-04-06
Published online: 2004-07-23

DOI: 10.1016/j.crme.2004.04.003

Keywords: Fluid mechanics, Vortices, Shear flows, Geophysical flows, Magnetohydrodynamics, Control
Mots-clés : Mécanique des fluides, Tourbillons, Écoulements cisaillés, Écoulements géophysiques, Magnétohydrodynamique, Contrôle

Author's affiliations:

Ivan Delbende ^{1, 2}; Thomas Gomez ^{2, 3}; Christophe Josserand ³; Caroline Nore ^{1, 4}; Maurice Rossi ³

¹ LIMSI-CNRS, BP 133, 91403 Orsay cedex, France
² Université Paris VI, 4, place Jussieu, 75252 Paris cedex 05, France
³ LMM-CNRS, case 162, 4, place Jussieu, 75252 Paris cedex 05, France
⁴ Université Paris XI, 91405 Orsay cedex, France

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Ivan Delbende; Thomas Gomez; Christophe Josserand; Caroline Nore; Maurice Rossi. Various aspects of fluid vortices. Comptes Rendus. Mécanique, Volume 332 (2004) no. 9, pp. 767-781. doi : 10.1016/j.crme.2004.04.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.04.003/

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