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URN to cite this document: urn:nbn:de:bvb:703-epub-8389-6
Title data
Buaria, Dhawal ; Lawson, John M. ; Wilczek, Michael:
Twisting vortex lines regularize Navier-Stokes turbulence.
In: Science Advances.
Vol. 10
(2024)
Issue 37
.
- eado1969.
ISSN 2375-2548
DOI der Verlagsversion: https://doi.org/10.1126/sciadv.ado1969
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Abstract
Fluid flows are intrinsically characterized via the topology and dynamics of underlying vortex lines. Turbulence in common fluids like water and air, mathematically described by the incompressible Navier-Stokes equations (INSE), engenders spontaneous self-stretching and twisting of vortex lines, generating a complex hierarchy of structures. While the INSE are routinely used to describe turbulence, their regularity remains unproven; the implicit assumption being that the self-stretching is ultimately regularized by viscosity, preventing any singularities. Here, we uncover an inviscid regularizing mechanism stemming from self-stretching itself, by analyzing the flow topology as perceived by an observer aligned with the vorticity vector undergoing amplification. While, initially, vorticity amplification occurs via increasing twisting of vortex lines, a regularizing anti-twist spontaneously emerges to prevent unbounded growth. By isolating a vortex, we additionally demonstrate the genericity of this self-regularizing anti-twist. Our work, directly linking dynamics of vortices to turbulence statistics, reveals how the Navier-Stokes dynamics avoids the development of singularities even without the aid of viscosity. Analysis of how vortex lines twist in turbulent flows identifies the physical mechanism underpinning Navier-Stokes regularity.
Further data
| Item Type: | Article in a journal |
|---|---|
| DDC Subjects: | 500 Science > 530 Physics |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics I > Chair Theoretical Physics I - Univ.-Prof. Dr. Michael Wilczek Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics I |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-8389-6 |
| Date Deposited: | 02 Apr 2025 05:52 |
| Last Modified: | 02 Apr 2025 05:53 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/8389 |
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