Pantxika Otheguy

Elliptic and zigzag instabilities on co-rotating vertical vortices in a stratified fluid

We present a three-dimensional linear stability analysis of a couple of co-rotating vertical vortices in a stratified fluid. When the fluid is non-stratified, the two vortices are unstable to the elliptic instability owing to the elliptic deformation of their core. These elliptic instability modes persist for weakly stratified flow:

Zigzag instability of vortex pairs in stratified and rotating fluids. Part 2. Analytical and numerical analyses.

F_h \,{>}\, 10

The effect of planetary rotation on the zigzag instability of co-rotating vortices in a stratified fluid

, where

Towards a theory for vortex filaments in stratified-rotating fluids

F_h

Three-Dimensional Stability of Vortices in a Stratified Fluid

is the horizontal Froude number (

INSTABILITY OF CO-ROTATING VERTICAL VORTICES IN A STRATIFIED FLUID

F_h\,{=}\,\Gamma_b/\pi a_b^2 N

Theoretical analysis of the zigzag instability of a vertical co-rotating vortex pair in a strongly stratified fluid

where

Pairing of two vertical columnar vortices in a stratified fluid

\Gamma_b

Pairing in stratified fluid, one step to turbulence

is the circulation of the vortices,

Energy cascade through foliation of vortex core

a_b