Nonlinear evolution of the zigzag instability in stratified fluids: a shortcut on the route to dissipation
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Publication:3506845
DOI10.1017/S0022112007000109zbMath1151.76489OpenAlexW2000781929MaRDI QIDQ3506845
Chomaz, Jean-Marc, Axel Deloncle, Paul Billant
Publication date: 17 June 2008
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112007000109
Nonlinear effects in hydrodynamic stability (76E30) Stratification effects in viscous fluids (76D50)
Related Items (21)
Onset of secondary instabilities on the zigzag instability in stratified fluids ⋮ Dynamics of a stratified vortex under the complete Coriolis force: two-dimensional three-components evolution ⋮ Pairing of two vertical columnar vortices in a stratified fluid ⋮ Short-wave vortex instability in stratified flow ⋮ Decaying homogeneous turbulence under strong density stratification at low-Prandtl number ⋮ Stability of two-dimensional Taylor–Green vortices in rotating stratified fluids ⋮ Instability and breakdown of a vertical vortex pair in a strongly stratified fluid ⋮ The effects of stable stratification on the decay of initially isotropic homogeneous turbulence ⋮ Modal stability analysis of arrays of stably stratified vortices ⋮ Nonlinear evolution of the centrifugal instability using a semilinear model ⋮ Layers and internal waves in uniformly stratified fluids stirred by vertical grids ⋮ 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 ⋮ Evolution of a vortex in a strongly stratified shear flow. Part 2. Numerical simulations ⋮ Zigzag instability of vortex pairs in stratified and rotating fluids. Part 1. General stability equations. ⋮ Zigzag instability of vortex pairs in stratified and rotating fluids. Part 2. Analytical and numerical analyses. ⋮ Layer formation in horizontally forced stratified turbulence: connecting exact coherent structures to linear instabilities ⋮ Similarity scaling and vorticity structure in high-Reynolds-number stably stratified turbulent wakes ⋮ Stratified turbulence at the buoyancy scale ⋮ Kinetic energy dynamics in forced, homogeneous, and axisymmetric stably stratified turbulence ⋮ Is the Taylor–Proudman theorem exact in unbounded domains? Case study of the three-dimensional stability of a vortex pair in a rapidly rotating fluid
Cites Work
- Note on a paper of John W. Miles
- Self-adaptation and viscous selection in concentrated two-dimensional vortex dipoles
- Experimental evidence for a new instability of a vertical columnar vortex pair in a strongly stratified fluid
- Theoretical analysis of the zigzag instability of a vertical columnar vortex pair in a strongly stratified fluid
- Stratified turbulence dominated by vortical motion
- Elliptic and zigzag instabilities on co-rotating vertical vortices in a stratified fluid
- Scaling analysis and simulation of strongly stratified turbulent flows
- The energy cascade in a strongly stratified fluid
- Bending and twisting instabilities of columnar elliptical vortices in a rotating strongly stratified fluid
- The spatial structure and statistical properties of homogeneous turbulence
- On the stability of heterogeneous shear flows
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