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Disentangling the triadic interactions in Navier-Stokes equations

Overview of attention for article published in The European Physical Journal E, October 2015
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Title
Disentangling the triadic interactions in Navier-Stokes equations
Published in
The European Physical Journal E, October 2015
DOI 10.1140/epje/i2015-15114-4
Pubmed ID
Authors

Ganapati Sahoo, Luca Biferale

Abstract

We study the role of helicity in the dynamics of energy transfer in a modified version of the Navier-Stokes equations with explicit breaking of the mirror symmetry. We select different set of triads participating in the dynamics on the basis of their helicity content. In particular, we remove the negative helically polarized Fourier modes at all wave numbers except for those falling on a localized shell of wave number, [Formula: see text]. Changing km to be above or below the forcing scale, kf, we are able to assess the energy transfer of triads belonging to different interaction classes. We observe that when the negative helical modes are present only at a wave number smaller than the forced wave numbers, an inverse energy cascade develops with an accumulation of energy on a stationary helical condensate. Vice versa, when negative helical modes are present only at a wave number larger than the forced wave numbers, a transition from backward to forward energy transfer is observed in the regime when the minority modes become energetic enough.

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 6 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 6 100%

Demographic breakdown

Readers by professional status Count As %
Student > Master 2 33%
Student > Doctoral Student 2 33%
Student > Bachelor 1 17%
Unknown 1 17%
Readers by discipline Count As %
Physics and Astronomy 2 33%
Engineering 2 33%
Social Sciences 1 17%
Chemical Engineering 1 17%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 25 November 2015.
All research outputs
#16,099,609
of 23,891,012 outputs
Outputs from The European Physical Journal E
#401
of 658 outputs
Outputs of similar age
#170,328
of 287,357 outputs
Outputs of similar age from The European Physical Journal E
#6
of 13 outputs
Altmetric has tracked 23,891,012 research outputs across all sources so far. This one is in the 22nd percentile – i.e., 22% of other outputs scored the same or lower than it.
So far Altmetric has tracked 658 research outputs from this source. They typically receive more attention than average, with a mean Attention Score of 7.9. This one is in the 29th percentile – i.e., 29% of its peers scored the same or lower than it.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 287,357 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 32nd percentile – i.e., 32% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 13 others from the same source and published within six weeks on either side of this one. This one has gotten more attention than average, scoring higher than 53% of its contemporaries.