Comptes Rendus
no. 3
Cut-off analysis of coherent vortical structure identification in a three-dimensional external flow
[Analyse des seuils de coupure pour identifier des structures cohérentes dans un écoulement tridimensionnel externe]

Présenté par : Michel Combarnous

Anthi Miliou1  ; Iraj Mortazavi2  ; Spencer Sherwin1
1 Department of Aeronautics, Imperial College London, South Kensington Campus, London SW7 2AZ, UK
2 Mathématiques appliquées de Bordeaux UMR 5466 CNRS, université Bordeaux 1, 351, cours de la Libération, 33405 Talence, France
Comptes Rendus. Mécanique, Volume 333 (2005) no. 3, pp. 211-217.

Ce travail est consacré à l'identification des structures cohérentes présentes dans l'écoulement tridimensionnel d'un fluide visqueux aux bas nombres de Reynolds avec des géométries complexes. Une des issues importantes de ce processus d'identification est le besoin de spécifier un seuil numérique λ2 pour tenir compte des limites de précision de ce genre de calcul, en ce qui concerne l'interface des structures identifiées. Dans ce travail, ce seuil a été étudié et appliqué à un écoulement externe autour de tuyaux courbés. Les choix sont ensuite comparés aux résultats de la méthode du seuil de la vorticité mettant en évidence l'importance du choix approprié d'un seuil optimal. Tous les calculs sont effectués par une méthode tridimensionnelle du type ‘spectral/hp element’.

Vortical structure identification has more recently been applied in the study of the transport of vortical structures in low Reynolds number three-dimensional complex geometry flows. An important issue in this identification procedure is to choose an appropriate cut-off value λ2 which takes into consideration the finite precision vortex interfaces. This cut-off choice is studied in this Note and applied to an external flow around a curved cylinder. The vortex identification technique at different cut-off values is compared to the threshold of the vorticity field showing the efficiency of choosing the optimal tolerance gap. The computations are performed with a fully three-dimensional spectral/hp element method.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2004.09.022
Keywords: Computational fluid mechanics, Vortex identification technique, Spectral/hp element method
Mot clés : Mécanique des fluides numérique, Identification des structures cohérentes
Anthi Miliou 1 ; Iraj Mortazavi 2 ; Spencer Sherwin 1

1 Department of Aeronautics, Imperial College London, South Kensington Campus, London SW7 2AZ, UK
2 Mathématiques appliquées de Bordeaux UMR 5466 CNRS, université Bordeaux 1, 351, cours de la Libération, 33405 Talence, France 
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Anthi Miliou; Iraj Mortazavi; Spencer Sherwin. Cut-off analysis of coherent vortical structure identification in a three-dimensional external flow. Comptes Rendus. Mécanique, Volume 333 (2005) no. 3, pp. 211-217. doi : 10.1016/j.crme.2004.09.022. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.09.022/

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