A numerical study of superfluid turbulence in the self-induction approximation
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Publication:1100056
DOI10.1016/0021-9991(88)90145-3zbMath0639.76136OpenAlexW2093523893MaRDI QIDQ1100056
Publication date: 1988
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://escholarship.org/uc/item/0v80x881
approximate solutionsself-similar solutionexact solutionssuperfluid turbulencestable numerical methodsself-induction approximationself-induction equations of vortex theorysuperfluid vortex
Turbulence (76F99) Applications of quantum theory to specific physical systems (81V99) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Basic methods in fluid mechanics (76M99)
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Cites Work
- Unnamed Item
- Unnamed Item
- A mathematical introduction to fluid mechanics
- The evolution of a turbulent vortex
- On Vortex Methods
- Collapse and amplification of a vortex filament
- Progressive Deformation of a Curved Vortex Filament by its Own Induction
- A soliton on a vortex filament
- Progressive Deformation of a Perturbed Line Vortex Filament
- Atomic Theory of the Two-Fluid Model of Liquid Helium
