Thesis
Energy spectra of interacting Schrödinger-vortex configurations
- Creator
- Rights statement
- Awarding institution
- University of Strathclyde
- Date of award
- 2024
- Thesis identifier
- T17172
- Person Identifier (Local)
- 202053656
- Qualification Level
- Qualification Name
- Department, School or Faculty
- Abstract
- By means of parallel numerical computations, I investigate the energy spectra of Kelvin wave cascade and fully developed turbulence in Schrödinger fluids. I examine the generation and dynamics of Kelvin waves generated by a single reconnection and the associated cascade of energy to smaller scales. The corresponding energy spectrum of the Kelvin wave cascade is found to have a 𝑘−1 scaling. By following the evolution over large times, I see evidence of statistical equilibration and tendency towards a 𝑘2 spectrum. In the case of fully developed Schrödinger turbulence involving many reconnections and many vortex filaments, I find that the Kelvin wave cascade has a 𝑘−1 spectrum associated with it, although it is observed over a shorter time. Again, letting the tangle evolve over a large time, I see evidence of a tendency towards a 𝑘2 spectrum due to energy equilibration through interactions between Kelvin waves. By employing a bundle of quantized vortices as a discrete model of Navier-Stokes vortices, I investigate the physics of vortex stretching in classical turbulence. Two configurations were attempted: a Hopf link, where I found that the counter-rotating bundles develop a sinusoidal instability that generates tight secondary structures; the corresponding energy spectra of these secondary structures shows a 𝑘−5⁄3 scaling. I also tried a vortex collider configuration where it was found that due to self-stretching and without any reconnections, the energy spectra shows a 𝑘−5⁄3 scaling.
- Advisor / supervisor
- Kivotides, Demosthenes
- Resource Type
- DOI
Relations
Items
Thumbnail | Title | Date Uploaded | Visibility | Actions |
---|---|---|---|---|
|
File | 2025-02-12 | Private |