Esler, JG;
Scott, RK;
(2020)
Decaying two-dimensional turbulence undergoes statistical heating.
Physical Review Fluids
, 5
(7)
, Article 074601. 10.1103/PhysRevFluids.5.074601.
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Abstract
An emergent property of decaying two-dimensional turbulence is shown to be a weak but persistent statistical heating, or tendency towards clustering of like-signed vortices. The rate of this heating, which is driven by changes to the vortex population due to vortex mergers and straining events, provides a strong constraint on both vortex decay laws and kinetic theories of vortex interactions. A quasi-equilibrium statistical theory determines the energy spectrum from just the vortex interaction energy and bulk information about the number density of the vortices. The emergent heating rate is shown to determine the upscale transfer of energy, and is a powerful constraint on power-law descriptions of the evolving vortex population.
| Type: | Article |
|---|---|
| Title: | Decaying two-dimensional turbulence undergoes statistical heating |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevFluids.5.074601 |
| Publisher version: | https://doi.org/10.1103/PhysRevFluids.5.074601 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Science & Technology, Physical Sciences, Physics, Fluids & Plasmas, Physics, RELAXATION, EVOLUTION, VORTICES, MODEL |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10139160 |
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