2006
DOI: 10.1175/jpo2863.1
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The Stratified Pulson

Abstract: New analytical nonstationary circular eddy solutions of the nonlinear, reduced-gravity shallow-water equations in a multilayer stratified rotating ocean are presented. The new solutions extend previous "pulson" analytical solutions, which describe circular oscillating lenslike warm core eddies in a reduced-gravity homogeneous ocean on the f plane, to arbitrary stable vertical stratifications within surface as well as intermediate vortices. As a result, cyclonic as well as anticyclonic horizontal swirl velociti… Show more

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Cited by 11 publications
(9 citation statements)
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References 32 publications
(42 reference statements)
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“…3b). Notably, anticyclonic mesoscale vortical features characterized by similar radial structures of their tangential velocities describing internal undular oceanic vortices have been recently discovered as robust solutions of the non-stationary, nonlinear shallow-water equations on an f-plane [23][24][25][26] and also demonstrated as being persistent features of both oceanic and laboratory flow fields 27,28 . Remarkably, they are all characterized by the presence of (quasi) inertial pulsations, as those observed here to be significantly enhanced during vortical activity (Fig.…”
Section: Discussionmentioning
confidence: 99%
“…3b). Notably, anticyclonic mesoscale vortical features characterized by similar radial structures of their tangential velocities describing internal undular oceanic vortices have been recently discovered as robust solutions of the non-stationary, nonlinear shallow-water equations on an f-plane [23][24][25][26] and also demonstrated as being persistent features of both oceanic and laboratory flow fields 27,28 . Remarkably, they are all characterized by the presence of (quasi) inertial pulsations, as those observed here to be significantly enhanced during vortical activity (Fig.…”
Section: Discussionmentioning
confidence: 99%
“…A prominent role in the theoretical investigation of geophysical frontal vortices has been played by the nonlinear, reduced gravity shallow water equations [18,20,[22][23][24][25][26].…”
Section: Introductionmentioning
confidence: 99%
“…Although these equations do not allow for the development of baroclinic instabilities or for the radiation of energy toward the interior ocean via internal waves propagation, their use enables to explain different characteristics of observed frontal vortices [18,20,[22][23][24][25][26]. Moreover, the possibility of expressing analytically the evolution of a broad class of geophysical frontal vortices using these equations represents a valuable way for testing the accuracy of numerical models for non-stationary, nonlinear, frontal phenomena of geophysical relevance [18,19,22,27].…”
Section: Introductionmentioning
confidence: 99%
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“…Idealized flow models in which the velocity components vary linearly with one or more of the spatial coordinates have been applied in many contexts. Such models have led to wave and vortex solutions of the nonlinear shallow-water equations, [1][2][3][4] the multi-layer reduced shallow-water equations, 5,6 the Euler equations, 7 and the Boussinesq equations for a stratified fluid under the hydrostatic approximation. 8 Such models have also been applied to sea-breezes, 9 horizontal natural convection along a thermally perturbed lower surface, 10 thermal convection between two conducting horizontal boundaries, 11 katabatic flow along a differentially cooled slope, 12 and the flow in typhoons.…”
Section: Introductionmentioning
confidence: 99%