Insights on the three-dimensional Lagrangian geometry of the Antarctic Polar Vortex

Curbelo, Jezabel; García-Garrido, Victor J.; Mechoso, Carlos R.; Mancho, Ana M.; Wiggins, Stephen; Niang, Coumba

doi:10.5194/npg-2017-8

Cited by 7 publications

(16 citation statements)

References 29 publications

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“…This saddle is placed close to an Arctic area, the Barrow Canyon, for which upwelling motions have been reported (Lin et al ); thus the 2D approach taken for our description requires further verification. According to fully 3D Lagrangian studies in geophysical flows such as those reported in ((Curbelo et al ); ()), a class of 3D flows commonly occurring in this context possesses Lagrangian structures consisting of a stack of 2D Lagrangian structures (see Garcia‐Garrido et al , ). These types of structures are produced when vertical motions are small in comparison to horizontal velocity components, which are the dominant ones.…”

Section: Lagrangian Analysis Resultsmentioning

confidence: 99%

“…Horizontal velocities may vary with the vertical coordinate, and this could cause differences in the Lagrangian patterns at different levels; however, the continuity of the horizontal velocities with respect to the vertical coordinate is responsible for the preservation of major Lagrangian features at different slices (see the discussion in sect. 2 of (Curbelo et al ) for further details on the type of problem described). A typical feature of these flows is, for instance, the vertical extension of the hyperbolic trajectories throughout the vertical coordinate, forming a mathematical object known as a normally hyperbolic invariant manifold (NHIM; (Mezic and Wiggins, ; Wiggins, )).…”

Section: Lagrangian Analysis Resultsmentioning

confidence: 99%

“…Figure shows that the M function also has the capability of highlighting jets present in the fluid (see (de la Cámara et al ); (); (Mancho et al ); (Curbelo et al )). In this particular case, the TDS is clearly visible as the lighter colour, which highlights the parts of the jet with the highest speeds.…”

Section: Datasets and Dynamical Systems Toolsmentioning

confidence: 99%

“…A similar approach is frequently taken in studies of the stratosphere in which particles move on isentropic surfaces ((de la Cámara et al ); ()). A fully three‐dimensional (3D) study of transport processes in these later flows is reported in (Curbelo et al ). This study confirms that in the stratosphere and upper troposphere full 3D Lagrangian structures are curtain‐like structures well approximated as stacks, weakly varying along the vertical coordinate, of the evolving stable and unstable manifolds calculated on 2D surfaces.…”

Section: Datasets and Dynamical Systems Toolsmentioning

confidence: 99%

“…This study confirms that in the stratosphere and upper troposphere full 3D Lagrangian structures are curtain‐like structures well approximated as stacks, weakly varying along the vertical coordinate, of the evolving stable and unstable manifolds calculated on 2D surfaces. In particular, (Curbelo et al ) have shown that typical of this curtain‐like structure is the vertical extension of the hyperbolic trajectories throughout the vertical coordinate, forming a mathematical object known as a normally hyperbolic invariant manifold (NHIM; (Mezic and Wiggins, ; Wiggins, )). We will confirm that this description fits well with our study, even for the regions where vertical motions may be more important.…”

Section: Datasets and Dynamical Systems Toolsmentioning

confidence: 99%

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Lagrangian transport across the upper Arctic waters in the Canada Basin

Balibrea-Iniesta

Xie²,

García-Garrido

et al. 2018

Quart J Royal Meteoro Soc

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The goal of this paper is to study transport, from a Lagrangian perspective, across selected circulation patterns in the upper Arctic Ocean waters. To this end, we apply the methodology of Lagrangian descriptors, using the function M, to the velocity field dataset provided by the Copernicus Marine Environment Monitoring Service. We focus our analysis on the Arctic region in the halocline (top 30 m depth), which is based on particular events occurring over the 2012-2016 time period. The advantage of the Lagrangian descriptor is that it highlights large-scale persistent dynamical structures relating to mathematical objects known as invariant manifolds, which determine fluid transport and mixing processes. These geometric flow structures play a crucial role in the evolution of the salinity content observed over the Arctic Basin. In this work, we identify these dynamical structures in the Beaufort Sea and show how they mediate transport processes according to a clockwise circulating pattern related to the Beaufort Gyre. Additionally, this approach highlights the importance of the Transpolar Drift Stream (TDS) as a transport barrier which maintains the salinity gradient between the Canada Basin and the Atlantic waters. Our approach also illustrates the variability of the intensity of the TDS during the analysed period and identifies secondary currents that feed it. KEYWORDSdata assimilation, dynamical systems tools, hyperbolic trajectory, invariant manifolds, Lagrangian descriptors, Lagrangian transport 1 Q J R Meteorol Soc. 2019;145:76-91.wileyonlinelibrary.com/journal/qj

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Section: Lagrangian Analysis Resultsmentioning

confidence: 99%

Section: Lagrangian Analysis Resultsmentioning

confidence: 99%

Section: Datasets and Dynamical Systems Toolsmentioning

confidence: 99%

Section: Datasets and Dynamical Systems Toolsmentioning

confidence: 99%

Section: Datasets and Dynamical Systems Toolsmentioning

confidence: 99%

See 3 more Smart Citations

Lagrangian transport across the upper Arctic waters in the Canada Basin

Balibrea-Iniesta

Xie²,

García-Garrido

et al. 2018

Quart J Royal Meteoro Soc

Self Cite

View full text Add to dashboard Cite

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Lagrangian study of the final warming in the southern stratosphere during 2002: Part I. The vortex splitting at upper levels

et al. 2019

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The present two-part paper provides a Lagrangian perspective of the final southern warming in 2002, during which the stratospheric polar vortex (SPV) experienced a unique splitting. Part I focuses on the understanding of fundamental processes for filamentation and ultimately for vortex splitting on a selected isentropic surface in the middle stratosphere. Part II discusses the three-dimensional evolution of the selected sudden warming event. We approach the subject from a dynamical systems viewpoint and search for Lagrangian coherent structures using a Lagrangian descriptor as a tool. In this Part I we work in the idealized framework of a kinematic model that allows for an understanding of the contributing elements of the flow in late September during the splitting. We introduce a definition of kinematic SPV boundary based on a criterion for binning parcels inside and outside the vortex according to their values of the Lagrangian descriptor and associated PDF. This definition is justified by using arguments that go beyond heuristic considerations based on the potential vorticity. Next, we turn to the filamentation proceses along this kinematic boundary, and the role of Lagrangian structures in the SPV splitting. We determine a criterion for splitting based on the structure of the evolving unstable and unstable manifolds.

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Lagrangian study of the final warming in the southern stratosphere during 2002: Part II. 3D structure

et al. 2019

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This two-part paper aims to provide a Lagrangian perspective of the final southern warming in spring of 2002, during which the stratospheric polar vortex (SPV) experienced a unique splitting. We approach the subject from a dynamical systems viewpoint and search for Lagrangian coherent structures using a Lagrangian descriptor that is applied to reanalysis data. Part I presents our methodology and focuses by means of a kinematic model, on the understanding of fundamental processes for filamentation and ultimately for vortex splitting on an isentropic surface in the middle stratosphere. The present Part II discusses the three dimensional (3D) evolution of the flow during the selected event. For this, we apply concepts developed in Part I concerning a definition of the vortex boundary that helps in the selection of trajectories to illuminate the evolving flow structures, and a criterion that allows to justify why at an isentropic level a pinched vortex will split in later times. Lagrangian structures identified include surfaces that are several kilometers deep, and which a particle trajectory analysis confirms as barriers to the flow. The role of Lagrangian structures in determining the fate of particles during the SPV splitting is discussed.. Keywords: Stratospheric warming, Lagrangian transport structures, normally hyperbolic invariant manifold (NHIM), filamentation, vortex split, links between troposphere and stratosphere

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Insights on the three-dimensional Lagrangian geometry of the Antarctic Polar Vortex

Cited by 7 publications

References 29 publications

Lagrangian transport across the upper Arctic waters in the Canada Basin

Lagrangian transport across the upper Arctic waters in the Canada Basin

Lagrangian study of the final warming in the southern stratosphere during 2002: Part I. The vortex splitting at upper levels

Lagrangian study of the final warming in the southern stratosphere during 2002: Part II. 3D structure

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