Asymptotic equations for the stretching of vortex filaments in a background flow field

DOI10.1063/1.858467zbMath0765.76026OpenAlexW2088592915MaRDI QIDQ4030824

Richard M. McLaughlin, Andrew J. Majda, Rupert Klein

Publication date: 1 April 1993

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858467

zbMATH Keywords

rotationstrainnonlocal effectscolumnar vortexself- stretchingsmall-amplitude short-wavelength perturbations

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Incompressible viscous fluids (76D99)

Related Items

On the motion of a vortex filament in an external flow according to the localized induction approximation, Asymptotic vorticity structure and numerical simulation of slender vortex filaments, Simplified equations for the interaction of nearly parallel vortex filaments, Self-stretching of perturbed vortex filaments. II: Structure of solutions, The stabilizing effects of axial stretching on turbulent vortex dynamics, Quasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and Flutter, An asymptotic theory for the nonlinear instability of antiparallel pairs of vortex filaments, Dynamics of nearly parallel interacting vortex filaments

Cites Work

• Self-stretching of a perturbed vortex filament. I: The asymptotic equation for deviations from a straight line
• Vortex equilibria in turbulence theory and quantum analogues
• Self-stretching of perturbed vortex filaments. II: Structure of solutions
• The mixing layer: deterministic models of a turbulent flow. Part 2. The origin of the three-dimensional motion
• Vorticity, Turbulence, and Acoustics in Fluid Flow
• Motion of a Curved Vortex Filament with Decaying Vortical Core and Axial Velocity
• The dynamics of stretched vortices
• A soliton on a vortex filament