New method for detecting singularities in experimental incompressible flows

Kuzzay, Denis; Saw, Ewe-Wei; Martins, Fabio J.W.A.; Faranda, Davide; Foucaut, Jean-Marc; Daviaud, Francois; Dubrulle, Berengere

Document type :

Article dans une revue scientifique

DOI :

10.1088/1361-6544/aa6aaf

Title :

New method for detecting singularities in experimental incompressible flows

Author(s) :

Kuzzay, Denis [Auteur]
Saw, Ewe-Wei [Auteur]
Martins, Fabio J.W.A. [Auteur]
Laboratoire de Mécanique des Fluides de Lille – Kampé de Fériet - UMR 9014 [LMFL]
Faranda, Davide [Auteur]
Extrèmes : Statistiques, Impacts et Régionalisation [ESTIMR]
Laboratoire des Sciences du Climat et de l'Environnement [Gif-sur-Yvette] [LSCE]
Foucaut, Jean-Marc [Auteur]
Laboratoire de Mécanique des Fluides de Lille – Kampé de Fériet - UMR 9014 [LMFL]
Daviaud, Francois [Auteur]
Dubrulle, Berengere [Auteur]

Journal title :

NONLINEARITY

Pages :

2381-2402

Publisher :

IOP Publishing

Publication date :

2017-06-01

ISSN :

0951-7715

HAL domain(s) :

Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]

English abstract : [en]

We introduce two new singularity detection criteria based on the work of Duchon-Robert (DR) [J. Duchon and R. Robert, Nonlinearity, 13, 249 (2000)], and Eyink [G.L. Eyink, Phys. Rev. E, 74 (2006)] which allow for the local ...
Show more >We introduce two new singularity detection criteria based on the work of Duchon-Robert (DR) [J. Duchon and R. Robert, Nonlinearity, 13, 249 (2000)], and Eyink [G.L. Eyink, Phys. Rev. E, 74 (2006)] which allow for the local detection of singularities with scaling exponent h⩽1/2h⩽1/2h\leqslant1/2 in experimental flows, using PIV measurements. We show that in order to detect such singularities, one does not need to have access to the whole velocity field inside a volume but can instead look for them from stereoscopic particle image velocimetry (SPIV) data on a plane. We discuss the link with the Beale-Kato-Majda (BKM) [J.T. Beale, T. Kato, A. Majda, Commun. Math. Phys., 94, 61 (1984)] criterion, based on the blowup of vorticity, which applies to singularities of Navier-Stokes equations. We illustrate our discussion using tomographic PIV data obtained inside a high Reynolds number flow generated inside the boundary layer of a wind tunnel. In such a case, BKM and DR criteria are well correlated with each other.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Laboratoire de Mécanique des Fluides de Lille Kampé de Fériet (LMFL) - UMR 9014

Source :

Harvested from HAL

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http://arxiv.org/pdf/1601.03922
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