Physics of vortex merging

Patrice Meunier; Stéphane Le Dizès; Thomas Leweke

doi:10.1016/j.crhy.2005.06.003

Physics of vortex merging
[Aspects physiques de la fusion de tourbillons]

Patrice Meunier ¹ ; Stéphane Le Dizès ¹ ; Thomas Leweke ¹

¹ Institut de recherche sur les phénomènes hors équilibre, CNRS/universités Aix-Marseille I & II, 49, rue Frédéric Joliot Curie, BP 146, 13384 Marseille cedex 13, France

Comptes Rendus. Physique, Volume 6 (2005) no. 4-5, pp. 431-450.

Résumé
Abstract

Cet article traite de l'interaction entre tourbillons co-rotatifs, dans des configurations semblables à celles présentes dans le sillage proche et moyen des avions de transport. Le processus fondamental de fusion des tourbillons est analysé et modélisé en détail dans une description bidimensionnelle, donnant accès à des conditions pour la fusion et son origine physique, ainsi qu'aux propriétés de l'écoulement résultant. Les effets tridimensionnels, sous forme d'une instabilité elliptique à courte longueur d'onde des vortex co-rotatifs initiaux, sont décrits et analysés théoriquement. Ils sont à l'origine de modifications importantes de la fusion, comme un démarrage plus rapide du processus et un vortex final plus gros. Des illustrations d'études expérimentales, numériques et théoriques récentes sont données, et la pertinence des résultats pour des applications aux sillages réalistes des avions est discutée.

This article deals with the interaction of co-rotating vortices, in configurations similar to those found in the extended near-wake of typical transport aircraft. The fundamental process of vortex merging is analyzed and modeled in detail in a two-dimensional context, giving insight into the conditions for merging and its physical origin, and yielding predictions for the resulting flow. Three-dimensional effects, in the form an elliptic short-wave instability arising in the initial co-rotating vortex flow, are described and analyzed theoretically. They are found to cause significant changes in the merging process, such as earlier merging and larger final vortex cores. Illustrations from recent experimental, numerical and theoretical studies are given, and the relevance of the results for applications to real aircraft wakes is discussed.

Publié le : 2005-05-01

DOI : 10.1016/j.crhy.2005.06.003

Keywords: Vortex merging, Elliptic instability, Aircraft wakes
Mot clés : Fusion de tourbillons, Instabilité elliptique, Sillages d'avions

Affiliations des auteurs :

Patrice Meunier ¹ ; Stéphane Le Dizès ¹ ; Thomas Leweke ¹

¹ Institut de recherche sur les phénomènes hors équilibre, CNRS/universités Aix-Marseille I & II, 49, rue Frédéric Joliot Curie, BP 146, 13384 Marseille cedex 13, France

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     pages = {431--450},
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Patrice Meunier; Stéphane Le Dizès; Thomas Leweke. Physics of vortex merging. Comptes Rendus. Physique, Volume 6 (2005) no. 4-5, pp. 431-450. doi : 10.1016/j.crhy.2005.06.003. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2005.06.003/

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