Intermittency, cascades and thin sets in three-dimensional Navier- Stokes turbulence
File(s)epl1c.pdf (822.62 KB)
Accepted version
Author(s)
Gibbon, J
Type
Journal Article
Abstract
Visual manifestations of intermittency in computations of three dimensional Navier-Stokes fluid turbulence appear as the low-dimensional or ‘thin’ filamentary sets on which vorticity and strain accumulate as energy cascades down to small scales. In order to study this phenomenon, the first task of this paper is to investigate how weak solutions of the Navier-Stokes equations can be associated with a cascade and, as a consequence, with an infinite sequence of inverse length scales. It turns out that this sequence converges to a finite limit. The second task is to show how these results scale with integer dimension D= 1,2,3 and, in the light of the occurrence of thin sets, to discuss the mechanism of how the fluid might find the smoothest, most dissipative class of solutions rather than the most singular.
Date Issued
2020-11-02
Date Acceptance
2020-09-02
ISSN
0295-5075
Publisher
IOP Publishing
Start Page
64001-p1
End Page
64001-p5
Journal / Book Title
Europhysics Letters: a letters journal exploring the frontiers of physics
Volume
131
Issue
6
Copyright Statement
© 2020 EPLA. This is an author-created, un-copyedited version of an article accepted for publication in A Letters Journal Exploring the Frontiers of Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at https://doi.org/10.1209/0295-5075/131/64001.
Identifier
https://iopscience.iop.org/article/10.1209/0295-5075/131/64001
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
47
27
Gs
53
+n
10
ad
01 Mathematical Sciences
02 Physical Sciences
Fluids & Plasmas
Publication Status
Published
Date Publish Online
2020-11-02