Vortex multipoles in two-layer rotating shallow-water flows

DOI10.1017/S0022112002008170zbMath1005.76028OpenAlexW2108599668MaRDI QIDQ4549891

Xavier Carton, Jean-Michel Baey

Publication date: 24 February 2003

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

Full work available at URL: https://doi.org/10.1017/s0022112002008170

zbMATH Keywords

linear stability analysismodal analysiscyclonesconstant rotationbarotropic instabilityLighthill equationtwo-layer shallow-water modelanticyclonesbaroclinic instabiityBurger numberdipolar breakingelliptically perturbed circular vorticesfinite Rossby numbersquadrupole formationtriangular perturbationstripole formation

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) General theory of rotating fluids (76U05) Stability and instability of geophysical and astrophysical flows (76E20) Stratification effects in inviscid fluids (76B70)

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Influence of condensation and latent heat release upon barotropic and baroclinic instabilities of vortices in a rotating shallow water f-plane model ⋮ On the stability of discrete tripole, quadrupole, Thomson' vortex triangle and square in a two-layer/homogeneous rotating fluid ⋮ The stability and the nonlinear evolution of quasi-geostrophic hetons ⋮ Stability of three-dimensional Gaussian vortices in an unbounded, rotating, vertically stratified, Boussinesq flow: linear analysis ⋮ Transitions and oscillatory regimes in two-layer geostrophic hetons and tripoles ⋮ Stability of parallel wake flows in quasigeostrophic and frontal regimes ⋮ Stability of an isolated pancake vortex in continuously stratified-rotating fluids ⋮ Existence and properties of ageostrophic modons and coherent tripoles in the two-layer rotating shallow water model on the -plane ⋮ Slow quasigeostrophic unstable modes of a lens vortex in a continuously stratified flow ⋮ Baroclinic multipole evolution in shear and strain

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