Effects of conductivity jumps in the envelope of a kinematic dynamo flow

Raphael Laguerre; Caroline Nore; Jacques Léorat; Jean-Luc Guermond

doi:10.1016/j.crme.2006.06.008

Effects of conductivity jumps in the envelope of a kinematic dynamo flow
[Influence des discontinuités de conductivité dans l'enveloppe de l'écoulement d'une dynamo cinématique]

Présenté par : René Moreau

Raphael Laguerre ^1,² ; Caroline Nore ^1,³ ; Jacques Léorat ⁴ ; Jean-Luc Guermond ^1,²

¹ LIMSI-CNRS, BP 133, 91403 Orsay cedex, France
² Department of Mathematics, Texas A&M University, 3368 Tamu, College Station, TX 77843-3368, USA
³ Université Paris XI, département de physique, 91405 Orsay cedex, France
⁴ LUTH, observatoire de Paris-Meudon, 92195 Meudon, France

Comptes Rendus. Mécanique, Volume 334 (2006) no. 10, pp. 593-598.

Résumé
Abstract

Cette Note présente de nouveaux résultats sur l'influence de couches de conducteur sur le seuil de l'instabilité dynamo dans un écoulement simulant l'expérience Von Kármán Sodium (VKS) menée au CEA-Cadarache. Nous montrons que les effets d'une enveloppe statique sur le seuil d'instabilité sont amplifiés lorsque le rapport de conductivité de l'enveloppe sur celle du sodium passe de 1 à 5.

This Note reports on numerical simulations of the kinematic dynamo action in a test flow modeling the Von Kármán Sodium (VKS) experiment performed at CEA-Cadarache. We show that the conductivity of the vessel greatly influences the critical magnetic Reynolds number. These effects are dramatically amplified as the ratio of the conductivity of the vessel to that of the sodium increases from 1 to 5.

Reçu le : 2006-06-08
Accepté le : 2006-06-27
Publié le : 2006-09-12

DOI : 10.1016/j.crme.2006.06.008

Keywords: Computational fluid mechanics, Instability, Kinematic dynamo
Mot clés : Mécanique des fluides numériques, Instabilité, Dynamo cinématique

Affiliations des auteurs :

Raphael Laguerre ^{1, 2} ; Caroline Nore ^{1, 3} ; Jacques Léorat ⁴ ; Jean-Luc Guermond ^{1, 2}

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     title = {Effects of conductivity jumps in the envelope of a kinematic dynamo flow},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {593--598},
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     doi = {10.1016/j.crme.2006.06.008},
     language = {en},
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Raphael Laguerre; Caroline Nore; Jacques Léorat; Jean-Luc Guermond. Effects of conductivity jumps in the envelope of a kinematic dynamo flow. Comptes Rendus. Mécanique, Volume 334 (2006) no. 10, pp. 593-598. doi : 10.1016/j.crme.2006.06.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.06.008/

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