The instability of an axisymmetric vortex with monotonic potential vorticity in rotating shallow water

DOI10.1017/S0022112094002946zbMath0822.76037MaRDI QIDQ4835883

R. W. Ford

Publication date: 15 October 1995

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

zbMATH Keywords

WKBJ methodgravity waveRossby waveinertial instabilitylarge azimuthal mode number

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items

Inviscid instability of a stably stratified compressible boundary layer on an inclined surface ⋮ The Rossby-inertia-buoyancy instability in baroclinic vortices ⋮ Radiative instability in stratified vortices ⋮ Waves on a columnar vortex in a strongly stratified fluid ⋮ Critical layer and radiative instabilities in shallow-water shear flows ⋮ Critical-layer instability of shallow-water magnetohydrodynamic shear flows ⋮ On the instabilities of a potential vortex with a free surface ⋮ Viscous and inviscid strato-rotational instability ⋮ Damping and pumping of a vortex Rossby wave in a monotonic cyclone: Critical layer stirring versus inertia–buoyancy wave emission ⋮ Viscous stability properties of a Lamb–Oseen vortex in a stratified fluid ⋮ Unbalanced instabilities of rapidly rotating stratified shear flows ⋮ Stability of an isolated pancake vortex in continuously stratified-rotating fluids ⋮ Radiative instability of the flow around a rotating cylinder in a stratified fluid ⋮ Radiative instability of an anticyclonic vortex in a stratified rotating fluid ⋮ Instability of a dusty vortex ⋮ On resonant over-reflection of waves by jets

Cites Work

• The dynamical stability of differentially rotating discs with constant specific angular momentum
• The dynamical stability of differentially rotating discs - II
• The dynamical stability of differentially rotating discs - III
• New solutions representing adiabatic transverse waves in a Rankine vortex
• A fast contour dynamics method for many-vortex calculations in two-dimensional flows
• Aerodynamic Sound Emission as a Singular Perturbation Problem
• On sound generated aerodynamically I. General theory