Linear stability of Hill’s vortex to axisymmetric perturbations
From MaRDI portal
Publication:4976709
DOI10.1017/jfm.2016.387zbMath1460.76304arXiv1509.08901OpenAlexW3124422906MaRDI QIDQ4976709
Bartosz Protas, Alan R. Elcrat
Publication date: 1 August 2017
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.08901
Related Items (6)
Remarks on orbital stability of steady vortex rings ⋮ Spherical vortices in rotating fluids ⋮ Stability of Hill's spherical vortex ⋮ The pitfalls of investigating rotational flows with the Euler equations ⋮ Linear stability of inviscid vortex rings to axisymmetric perturbations ⋮ The decay of Hill's vortex in a rotating flow
Uses Software
Cites Work
- Steady-state solutions of the Euler equations in two dimensions: Rotating and translating V-states with limiting cases. I: Numerical algorithms and results
- Kinematic variational principle for motion of vortex rings
- A contour dynamics algorithm for axisymmetric flow
- Dynamics near an unstable Kirchhoff ellipse
- Stability and transition in shear flows
- Integral equations. Theory and numerical treatment
- Evolution of the Surface of Hill's Vortex Subjected to a Small Three-Dimensional Disturbance for the Cases ofm=0, 2, 3 and 4
- Determining the stability of steady two-dimensional flows through imperfect velocity-impulse diagrams
- The elliptical model of two-dimensional vortex dynamics. II: Disturbance equations
- Stability of vortices in equilibrium with a cylinder
- A study of the numerical stability of the method of contour dynamics
- Statistical equilibrium theory for axisymmetric flows: Kelvin’s variational principle and an explanation for the vortex ring pinch-off process
- Three-dimensional acoustic scattering by vortical flows. I. General theory
- The stability and energetics of corotating uniform vortices
- The nonlinear instability of Hill's vortex
- Nonlinear stability bounds for inviscid, two-dimensional, parallel or circular flows with monotonic vorticity, and the analogous three-dimensional quasi-geostrophic flows
- Local stability conditions in fluid dynamics
- The response of Hill's spherical vortex to a small axisymmetric disturbance
- The stability of elliptical vortices in an external straining flow
- Hydrodynamic Stability
- Instabilities of Ideal Fluids and Related Topics: Plenary Lecture, presented at the Annual GAMM Conference, Braunschweig 1994
- A general theory for two-dimensional vortex interactions
- Vortex ring interactions II. Inviscid models
- A framework for linear stability analysis of finite-area vortices
- Vortex Dynamics
- The evolution of Kirchhoff elliptic vortices
- The degree of knottedness of tangled vortex lines
- Examples of steady vortex rings of small cross-section in an ideal fluid
- A family of steady vortex rings
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Linear stability of Hill’s vortex to axisymmetric perturbations
