Instabilities of two-layer shallow-water flows with vertical shear in the rotating annulus

DOI10.1017/S0022112009990796zbMath1183.76718OpenAlexW2104991720MaRDI QIDQ3550386

R. Plougonven, Vladimir Zeitlin, Jonathan Gula

Publication date: 31 March 2010

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

Full work available at URL: https://doi.org/10.1017/s0022112009990796

Mathematics Subject Classification ID

Rotation in hydrodynamic stability (76E07) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (4)

Frontal instabilities and waves in a differentially rotating fluid ⋮ Formation of columnar baroclinic vortices in thermally stratified nonlinear spin-up ⋮ Interfacial instability of coupled-rotating inviscid fluids ⋮ Instabilities of buoyancy-driven coastal currents and their nonlinear evolution in the two-layer rotating shallow water model. Part 2. Active lower layer

Uses Software

• Matlab

Cites Work

• Ageostrophic instabilities of fronts in a channel in a stratified rotating fluid
• On almost rigid rotations
• Rossby-Kelvin instability: a new type of ageostrophic instability caused by a resonance between Rossby waves and gravity waves
• The role of negative energy waves in some instabilities of parallel flows
• Shear instability in shallow water
• Spectral Methods in MATLAB
• On the generation mechanisms of short-scale unbalanced modes in rotating two-layer flows with vertical shear
• Gravity wave radiation from vortex trains in rotating shallow water
• Stability of linear shear flows in shallow water

This page was built for publication: Instabilities of two-layer shallow-water flows with vertical shear in the rotating annulus