scholarly journals Steady radiating baroclinic vortices in vertically sheared flows

2021 ◽  
Vol 33 (3) ◽  
pp. 031705 ◽  
Author(s):  
G. G. Sutyrin ◽  
T. Radko ◽  
J. Nycander
Keyword(s):  
Sheared Flows ◽  
Baroclinic Vortices

Time-domain calculation of sound propagation in lined ducts with sheared flows

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 768-773 ◽  
Author(s):  
Yusuf Ozyoruk ◽  
Lyle N. Long
Keyword(s):  
Time Domain ◽  
Sound Propagation ◽  
Sheared Flows ◽  
Lined Ducts

scholarly journals On the Velocity Gradient in Stably Stratified Sheared Flows. Part 2: Observations and Models

2010 ◽  
Vol 135 (3) ◽  
pp. 513-517 ◽  
Author(s):  
Rostislav D. Kouznetsov ◽  
Sergej S. Zilitinkevich
Keyword(s):  
Velocity Gradient ◽  
Sheared Flows

Scale-dependent merging of baroclinic vortices

1994 ◽  
Vol 264 ◽  
pp. 81-106 ◽  
Author(s):  
J. Verron ◽  
S. Valcke
Keyword(s):  
Numerical Simulations ◽  
Critical Point ◽  
Lower Layer ◽  
Interaction Mechanism ◽  
Competitive Effects ◽  
Different Types ◽  
Shape Effects ◽  
Baroclinic Vortices ◽  
The Relationship ◽  
Stratified Model

The influence of stratification on the merging of like-sign vortices of equal intensity and shape is investigated by numerical simulations in a quasi-geostrophic, two-layer stratified model. Two different types of vortices are considered: vortices defined as circular patches of uniform potential vorticity in the upper layer but no PV anomaly in the lower layer (referred to as PVI vortices), and vortices defined as circular patches of uniform relative vorticity in the upper layer but no motion in the lower layer (referred to as RVI vortices). In particular, it is found that, in the RVI case, the merging behaviour depends strongly on the magnitude of the stratification (i.e. the ratio of internal Rossby radius and vortex radius). The critical point here appears to be whether or not the initial eddies have a deep flow signature in terms of PV.The specific phenomenon of scale-dependent merging observed is interpreted in terms of the competitive effects of hetonic interaction and vortex shape. In the case of weaker stratification, the baroclinic structure of the eddies can be seen as dominated by a mechanism of hetonic interaction in which bottom flow appears to counteract the tendency of surface eddies to merge. In the case of larger stratification, the eddy interaction mechanism is shown to be barotropically dominated, although interface deformation still determines the actual eddy vorticity profile during the initialization stage. Repulsion (hetonic) effect therefore oppose attraction (barotropic shape) effects in a competitive process dependent on the relationship between the original eddy lengthscale and the first internal Rossby radius.A concluding discussion considers the implications of such analysis for real situations, in the ocean or in the laboratory.

Merging of two-layer baroclinic vortices

1991 ◽  
pp. 355-365
Author(s):  
Jacques Verron ◽  
Emil Hopfinger ◽  
James C. McWilliams
Keyword(s):  
Baroclinic Vortices

scholarly journals Influence of Bottom Topography on Vortex Stability

2019 ◽  
Vol 49 (12) ◽  
pp. 3199-3219 ◽  
Author(s):  
Bowen Zhao ◽  
Emma Chieusse-Gérard ◽  
Glenn Flierl
Keyword(s):  
Growth Rate ◽  
Linear Stability ◽  
Bottom Topography ◽  
Relative Vorticity ◽  
Subsequent Evolution ◽  
Vortex Stability ◽  
Number Of Layers ◽  
One Step ◽  
Baroclinic Vortices ◽  
Dynamics Simulations

AbstractThe effects of topography on the linear stability of both barotropic vortices and two-layer, baroclinic vortices are examined by considering cylindrical topography and vortices with stepwise relative vorticity profiles in the quasigeostrophic approximation. Four vortex configurations are considered, classified by the number of relative vorticity steps in the horizontal and the number of layers in the vertical: barotropic one-step vortex (Rankine vortex), barotropic two-step vortex, and their two-layer, baroclinic counterparts with the vorticity steps in the upper layer. In the barotropic calculation, the vortex is destabilized by topography having an oppositely signed potential vorticity jump while stabilized by topography of same-signed jump, that is, anticyclones are destabilized by seamounts while stabilized by depressions. Further, topography of appropriate sign and magnitude can excite a mode-1 instability for a two-step vortex, especially relevant for topographic encounters of an otherwise stable vortex. The baroclinic calculation is in general consistent with the barotropic calculation except that the growth rate weakens and, for a two-step vortex, becomes less sensitive to topography (sign and magnitude) as baroclinicity increases. The smaller growth rate for a baroclinic vortex is consistent with previous findings that vortices with sufficient baroclinic structure could cross the topography relatively easily. Nonlinear contour dynamics simulations are conducted to confirm the linear stability analysis and to describe the subsequent evolution.

Sign in / Sign up

Export Citation Format

Share Document