Spatiotemporal instability of a variable-density Batchelor vortex

DOI10.1017/jfm.2012.185zbMath1248.76063OpenAlexW2332358917MaRDI QIDQ2907214

Bastien Di Pierro, Malek Abid

Publication date: 7 September 2012

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2012.185

zbMATH Keywords

vortex instabilitynonlinear instabilityabsolute/convective instability

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30) Viscous vortex flows (76D17)

Related Items (2)

A preconditioning for the spectral solution of incompressible variable-density flows ⋮ Helicity effects on inviscid instability in Batchelor vortices

Cites Work

• Nonlinear mode selection in a model of trailing line vortices
• Mixing induced by Rayleigh–Taylor instability in a vortex
• Spatial stability and the onset of absolute instability of Batchelor's vortex for high swirl numbers
• Absolute and convective instabilities in free shear layers
• Absolute/convective instabilities in the Batchelor vortex: a numerical study of the linear impulse response
• The stability of a trailing line vortex. Part 1. Inviscid theory
• Three-dimensional vortex breakdown in swirling jets and wakes: direct numerical simulation
• Mode selection in swirling jet experiments: a linear stability analysis
• Viscous effects in the absolute–convective instability of the Batchelor vortex
• The stability of a trailing line vortex. Part 2. Viscous theory
• Axial flow in trailing line vortices
• Direct numerical simulations of the Batchelor trailing vortex by a spectral method
• Nonlinear convective/absolute instabilities in parallel two-dimensional wakes
• Propagation in Electron-Ion Streams

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