Experimental measurement of the vorticity-strain alignment around extreme energy transfer events

Fuente: arXiv
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Main Authors: Musci, Benjamin, Dubrulle, Berengere, LeBris, Jean, Geneste, Damien, Braganca, Pierre, Foucaut, Jean-Marc, Cuvier, Christophe, Cheminet, Adam
Format: Preprint
Published: 2025
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author Musci, Benjamin
Dubrulle, Berengere
LeBris, Jean
Geneste, Damien
Braganca, Pierre
Foucaut, Jean-Marc
Cuvier, Christophe
Cheminet, Adam
author_facet Musci, Benjamin
Dubrulle, Berengere
LeBris, Jean
Geneste, Damien
Braganca, Pierre
Foucaut, Jean-Marc
Cuvier, Christophe
Cheminet, Adam
contents This work experimentally explores the alignment of the vorticity vector and the strain-rate tensor eigenvectors at locations of extreme upscale and downscale energy transfer. We show that the turbulent von Karman flow displays vorticity-strain alignment behavior across a large range of Reynolds numbers, which are very similar to previous studies on homogeneous, isotropic turbulence. We observe that this behavior is amplified for the largest downscale energy transfer events, which tend to be associated with sheet-like geometries. These events are also shown to have characteristics previously associated with high flow field non-linearity and singularities. In contrast the largest upscale energy transfer events display much different structures which showcase a strong preference for vortex-compression. We then show further evidence to the argument that strain-self-amplification is the most salient feature in characterizing cascade direction. Finally, we identify possible invariant behavior for the largest energy transfer events, even at scales near the Kolmogorov scale.
format Preprint
id arxiv_https___arxiv_org_abs_2503_22627
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Experimental measurement of the vorticity-strain alignment around extreme energy transfer events
Musci, Benjamin
Dubrulle, Berengere
LeBris, Jean
Geneste, Damien
Braganca, Pierre
Foucaut, Jean-Marc
Cuvier, Christophe
Cheminet, Adam
Fluid Dynamics
This work experimentally explores the alignment of the vorticity vector and the strain-rate tensor eigenvectors at locations of extreme upscale and downscale energy transfer. We show that the turbulent von Karman flow displays vorticity-strain alignment behavior across a large range of Reynolds numbers, which are very similar to previous studies on homogeneous, isotropic turbulence. We observe that this behavior is amplified for the largest downscale energy transfer events, which tend to be associated with sheet-like geometries. These events are also shown to have characteristics previously associated with high flow field non-linearity and singularities. In contrast the largest upscale energy transfer events display much different structures which showcase a strong preference for vortex-compression. We then show further evidence to the argument that strain-self-amplification is the most salient feature in characterizing cascade direction. Finally, we identify possible invariant behavior for the largest energy transfer events, even at scales near the Kolmogorov scale.
title Experimental measurement of the vorticity-strain alignment around extreme energy transfer events
topic Fluid Dynamics
url https://arxiv.org/abs/2503.22627