Vortex shedding modeling using diffusive van der Pol oscillators

Matteo Luca Facchinetti; Emmanuel de Langre; Francis Biolley

doi:10.1016/S1631-0721(02)01492-4

Vortex shedding modeling using diffusive van der Pol oscillators
[Modélisation du détachement tourbillonnaire avec des oscillateurs de van der Pol interagissant par diffusion]

Matteo Luca Facchinetti ¹ ; Emmanuel de Langre ¹ ; Francis Biolley ²

¹ Laboratoire d'Hydrodynamique (LadHyX), CNRS, École polytechnique, 91128 Palaiseau cedex, France
² Institut Français du Pétrole (IFP), 1 et 4, avenue de Bois Préau, 92852 Rueil-Malmaison cedex, France

Comptes Rendus. Mécanique, Volume 330 (2002) no. 7, pp. 451-456.

Résumé
Abstract

Nous analysons un modèle simple de la dynamique du sillage proche derrière une structure élancée. Le modèle est constitué par une distribution continue, le long de la structure, d'oscillateurs de van der Pol interagissant par diffusion. En écoulement cisaillé, la diffusion permet de décrire le détachement tourbillonnaire par cellules, dont la taille est ici calculée analytiquement en fonction des paramètres du modèle. Dans le cas d'une structure sinueuse en écoulement uniforme, le modèle reproduit qualitativement la suppression globale du détachement tourbillonnaire.

A simple model for the near wake dynamics of slender bluff bodies in cross-flow is analyzed. It is based on a continuous distribution of van der Pol oscillators arranged along the spanwise extent of the structure and interacting by diffusion. Diffusive interaction is shown to be able to model cellular vortex shedding in shear flow, the cell size being estimated analytically with respect to the model parameters. Moreover, diffusive interaction succeeds in describing qualitatively the global suppression of vortex shedding from a sinuous structure in uniform flow.

Reçu le : 2002-02-22
Accepté le : 2002-05-13
Publié le : 2002-01-01

DOI : 10.1016/S1631-0721(02)01492-4

Keywords: fluid mechanics, vortex shedding, 3-D spanwise effects, dynamical systems, van der Pol oscillator
Mots-clés : mécanique des fluides, détachement tourbillonnaire, effets 3-D, systèmes dynamiques, oscillateur de van der Pol

Affiliations des auteurs :

Matteo Luca Facchinetti ¹ ; Emmanuel de Langre ¹ ; Francis Biolley ²

¹ Laboratoire d'Hydrodynamique (LadHyX), CNRS, École polytechnique, 91128 Palaiseau cedex, France
² Institut Français du Pétrole (IFP), 1 et 4, avenue de Bois Préau, 92852 Rueil-Malmaison cedex, France

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     author = {Matteo Luca Facchinetti and Emmanuel de~Langre and Francis Biolley},
     title = {Vortex shedding modeling using diffusive van der {Pol} oscillators},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {451--456},
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     language = {en},
}

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Matteo Luca Facchinetti; Emmanuel de Langre; Francis Biolley. Vortex shedding modeling using diffusive van der Pol oscillators. Comptes Rendus. Mécanique, Volume 330 (2002) no. 7, pp. 451-456. doi : 10.1016/S1631-0721(02)01492-4. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01492-4/

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