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Preparation of Free-Surface Hyperbolic Water Vortices
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Published on: July 28, 2023

Turbulence driven by singularities in vortex sheet dynamics.

Malek Abid1, Alberto Verga

  • 1Aix-Marseille Université, Institut de Recherche sur les Phénomènes Hors Equilibre, Unité Mixte de Recherche No. 6594 associée au Centre National de la Recherche Scientifique, Boîte Postale 146, 13384 Marseille, France. abid@irphe.univ-mrs.fr

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2011
PubMed
Summary
This summary is machine-generated.

High-precision simulations reveal Kelvin-Helmholtz instabilities in vortex sheets. A novel mechanism explains flow singularities and an emergent power-law energy spectrum in two-dimensional fluid dynamics.

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Area of Science:

  • Fluid Dynamics
  • Computational Physics

Background:

  • Vortex sheets are fundamental structures in fluid dynamics.
  • Understanding their instabilities is key to predicting complex flow behavior.

Purpose of the Study:

  • To investigate the cascade of instabilities in two-dimensional vortex sheets.
  • To identify the physical mechanisms driving flow singularities.
  • To analyze the resulting energy spectrum.

Main Methods:

  • High-precision numerical simulations of two-dimensional flows.
  • Analysis of vortex sheet dynamics, including advection and self-interaction.

Main Results:

  • Observed a cascade of Kelvin-Helmholtz instabilities.
  • Identified a mechanism leading to flow singularities through vorticity dynamics.
  • Discovered an emergent power-law energy spectrum.

Conclusions:

  • Flow singularities and complex vorticity distributions are linked to the power-law energy spectrum.
  • The study provides a physical explanation for scale emergence in vortex sheets.