Zigzag instability of vortex pairs in stratified and rotating fluids. Part 1. General stability equations.

DOI10.1017/S0022112010002818zbMath1205.76107OpenAlexW2070466242MaRDI QIDQ3075755

Paul Billant

Publication date: 17 February 2011

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

Full work available at URL: https://doi.org/10.1017/s0022112010002818

zbMATH Keywords

instabilityvortex flowsgeophysical and geological flows

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Stratification effects in viscous fluids (76D50) Rotation in hydrodynamic stability (76E07)

Related Items (12)

Three-dimensional stability of vortex arrays in a stratified and rotating fluid ⋮ Onset of secondary instabilities on the zigzag instability in stratified fluids ⋮ Coalescence of lenticular anticyclones in a linearly stratified rotating fluid ⋮ Speaker-wire vortices in stratified anabatic Prandtl slope flows and their secondary instabilities ⋮ Stability of two-dimensional Taylor–Green vortices in rotating stratified fluids ⋮ Modal stability analysis of arrays of stably stratified vortices ⋮ Spectral analysis of the transition to turbulence from a dipole in stratified fluid ⋮ Stability of a Gaussian pancake vortex in a stratified fluid ⋮ Strato-hyperbolic instability: a new mechanism of instability in stably stratified vortices ⋮ Evolution of a vortex in a strongly stratified shear flow. Part 1. Asymptotic analysis ⋮ Analogies and differences between the stability of an isolated pancake vortex and a columnar vortex in stratified fluid ⋮ Stability of an isolated pancake vortex in continuously stratified-rotating fluids

Cites Work

• Unnamed Item
• Bending waves on inviscid columnar vortices
• On vortex rings around vortices: an optimal mechanism
• On the three-dimensional instability of strained vortices
• Nonlinear evolution of the zigzag instability in stratified fluids: a shortcut on the route to dissipation
• Viscous Critical‐Layer Analysis of Vortex Normal Modes
• Instability and breakdown of a vertical vortex pair in a strongly stratified fluid
• The three-dimensional vortical nature of atmospheric and oceanic turbulent flows
• Weakly nonlinear saturation of short-wave instabilities in a strained Lamb–Oseen vortex
• Widnall instabilities in vortex pairs
• Structure of a stratified tilted vortex
• The instability of a straight vortex filament in a strain field
• Stability of a pair of co-rotating vortices
• The instability and breakdown of tall columnar vortices in a quasi-geostrophic fluid
• Experimental evidence for a new instability of a vertical columnar vortex pair in a strongly stratified fluid
• Fluid Motions in the Presence of Strong Stable Stratification
• Theoretical analysis of the zigzag instability of a vertical columnar vortex pair in a strongly stratified fluid
• On cooperative instabilities of parallel vortex pairs
• Nonlinear evolution of the elliptical instability: an example of inertial wave breakdown
• Elliptic and zigzag instabilities on co-rotating vertical vortices in a stratified fluid
• The effect of planetary rotation on the zigzag instability of co-rotating vortices in a stratified fluid
• Elliptic instability of a co-rotating vortex pair
• Algorithm 822: GIZ, HIZ
• Bending and twisting instabilities of columnar elliptical vortices in a rotating strongly stratified fluid
• On the inviscid instability of certain two-dimensional vortex-type flows
• The motion of a vortex filament with axial flow
• Theoretical analysis of the zigzag instability of a vertical co-rotating vortex pair in a strongly stratified fluid

This page was built for publication: Zigzag instability of vortex pairs in stratified and rotating fluids. Part 1. General stability equations.