Articles | Volume 24, issue 3
https://doi.org/10.5194/npg-24-379-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/npg-24-379-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
25 Jul 2017
Research article |
| 25 Jul 2017
Insights into the three-dimensional Lagrangian geometry of the Antarctic polar vortex
Jezabel Curbelo
Instituto de Ciencias Matemáticas, CSIC-UAM-UC3M-UCM. C/ Nicolás Cabrera 15, Campus de Cantoblanco UAM, 28049 Madrid, Spain
Departamento de Matemáticas, Facultad de Ciencias, Universidad Autonóma de Madrid, 28049 Madrid, Spain
Víctor José García-Garrido
Instituto de Ciencias Matemáticas, CSIC-UAM-UC3M-UCM. C/ Nicolás Cabrera 15, Campus de Cantoblanco UAM, 28049 Madrid, Spain
Carlos Roberto Mechoso
Department of Atmospheric and Oceanic Sciences, University of California at Los Angeles, Los Angeles, California, USA
Instituto de Ciencias Matemáticas, CSIC-UAM-UC3M-UCM. C/ Nicolás Cabrera 15, Campus de Cantoblanco UAM, 28049 Madrid, Spain
Stephen Wiggins
School of Mathematics, University of Bristol, Bristol BS8 1TW, UK
Coumba Niang
Instituto de Ciencias Matemáticas, CSIC-UAM-UC3M-UCM. C/ Nicolás Cabrera 15, Campus de Cantoblanco UAM, 28049 Madrid, Spain
Laboratoire de Physique de l'Atmosphere et de l'Ocean Simeon Fongang, Ecole Superieure Polytechnique, Universite Cheikh Anta Diop, 5085, Dakar-Fann, Senegal
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25 citations as recorded by crossref.
- Fluid dynamic analysis and lift enhancement of material transport and mixing around airfoil through Lagrangian coherent structures C. Zhang et al. https://doi.org/10.1016/j.rineng.2023.101643
- Transport pathways across the West African Monsoon as revealed by Lagrangian Coherent Structures C. Niang et al. https://doi.org/10.1038/s41598-020-69159-9
- Lagrangian transport across the upper Arctic waters in the Canada Basin F. Balibrea‐Iniesta et al. https://doi.org/10.1002/qj.3404
- Lagrangian Analysis of the Northern Stratospheric Polar Vortex Split in April 2020 J. Curbelo et al. https://doi.org/10.1029/2021GL093874
- Linking dynamics, geometry, and environmental challenges A. Mancho https://doi.org/10.1007/s40324-025-00408-5
- Lagrangian descriptors in geophysical flows: a survey J. Curbelo https://doi.org/10.1007/s40324-025-00382-y
- Analysis of the spread of SARS-CoV-2 in a hospital isolation room using CFD and Lagrangian Coherent Structures N. Amahjour et al. https://doi.org/10.1016/j.physd.2023.133825
- A physics-informed fractional Hawkes framework for dry-spell onsets and drought memory in complex hydroclimates M. Herrera-Marín https://doi.org/10.2166/hydro.2026.184
- Lagrangian study of the final warming in the southern stratosphere during 2002: Part II. 3D structure J. Curbelo et al. https://doi.org/10.1007/s00382-019-04833-x
- Tracking jet streams as Lagrangian objects L. Rivoire et al. https://doi.org/10.1038/s43247-026-03262-z
- Building transport models from baroclinic wave experimental data M. Agaoglou et al. https://doi.org/10.1063/5.0179875
- Forced convection heat transfer around a circular cylinder in laminar flow: An insight from Lagrangian coherent structures S. Cao et al. https://doi.org/10.1063/5.0049219
- Detection of Phase Space Structures of the Cat Map with Lagrangian Descriptors V. García-Garrido et al. https://doi.org/10.1134/S1560354718060096
- Global dynamics visualisation from Lagrangian Descriptors. Applications to discrete and continuous systems J. Daquin et al. https://doi.org/10.1016/j.physd.2022.133520
- Lagrangian Identification of Coherent Structures and Mass Transport in a Buoyant Jet Diffusion Flame N. Dang et al. https://doi.org/10.1080/00102202.2022.2101105
- Global Dynamics Visualisation from Lagrangian Descriptors. Applications to Discrete and Continuous Systems J. Daquin et al. https://doi.org/10.2139/ssrn.4175901
- The Application of Lagrangian Descriptors to 3D Vector Fields V. García-Garrido et al. https://doi.org/10.1134/S1560354718050052
- Transport Barriers in Geophysical Flows: A Review S. Prants https://doi.org/10.3390/sym15101942
- Lagrangian study of the final warming in the southern stratosphere during 2002: Part I. The vortex splitting at upper levels J. Curbelo et al. https://doi.org/10.1007/s00382-019-04832-y
- Transport of Nitric Oxide Via Lagrangian Coherent Structures Into the Top of the Polar Vortex V. Harvey et al. https://doi.org/10.1029/2020JD034523
- A Method for Detecting Atmospheric Lagrangian Coherent Structures Using a Single Fixed-Wing Unmanned Aircraft System P. Nolan et al. https://doi.org/10.3390/s19071607
- Preface: Current perspectives in modelling, monitoring, and predicting geophysical fluid dynamics A. Mancho et al. https://doi.org/10.5194/npg-25-125-2018
- Mixing and Geometry in the North Atlantic Meridional Overturning Circulation R. Bruera et al. https://doi.org/10.1029/2022GL102244
- Lagrangian coherent structure assisted path planning for transoceanic autonomous underwater vehicle missions A. Ramos et al. https://doi.org/10.1038/s41598-018-23028-8
- Lagrangian coherent structures to examine mixing in the stratosphere J. Curbelo & M. Linz https://doi.org/10.5194/acp-25-7941-2025
25 citations as recorded by crossref.
- Fluid dynamic analysis and lift enhancement of material transport and mixing around airfoil through Lagrangian coherent structures C. Zhang et al. https://doi.org/10.1016/j.rineng.2023.101643
- Transport pathways across the West African Monsoon as revealed by Lagrangian Coherent Structures C. Niang et al. https://doi.org/10.1038/s41598-020-69159-9
- Lagrangian transport across the upper Arctic waters in the Canada Basin F. Balibrea‐Iniesta et al. https://doi.org/10.1002/qj.3404
- Lagrangian Analysis of the Northern Stratospheric Polar Vortex Split in April 2020 J. Curbelo et al. https://doi.org/10.1029/2021GL093874
- Linking dynamics, geometry, and environmental challenges A. Mancho https://doi.org/10.1007/s40324-025-00408-5
- Lagrangian descriptors in geophysical flows: a survey J. Curbelo https://doi.org/10.1007/s40324-025-00382-y
- Analysis of the spread of SARS-CoV-2 in a hospital isolation room using CFD and Lagrangian Coherent Structures N. Amahjour et al. https://doi.org/10.1016/j.physd.2023.133825
- A physics-informed fractional Hawkes framework for dry-spell onsets and drought memory in complex hydroclimates M. Herrera-Marín https://doi.org/10.2166/hydro.2026.184
- Lagrangian study of the final warming in the southern stratosphere during 2002: Part II. 3D structure J. Curbelo et al. https://doi.org/10.1007/s00382-019-04833-x
- Tracking jet streams as Lagrangian objects L. Rivoire et al. https://doi.org/10.1038/s43247-026-03262-z
- Building transport models from baroclinic wave experimental data M. Agaoglou et al. https://doi.org/10.1063/5.0179875
- Forced convection heat transfer around a circular cylinder in laminar flow: An insight from Lagrangian coherent structures S. Cao et al. https://doi.org/10.1063/5.0049219
- Detection of Phase Space Structures of the Cat Map with Lagrangian Descriptors V. García-Garrido et al. https://doi.org/10.1134/S1560354718060096
- Global dynamics visualisation from Lagrangian Descriptors. Applications to discrete and continuous systems J. Daquin et al. https://doi.org/10.1016/j.physd.2022.133520
- Lagrangian Identification of Coherent Structures and Mass Transport in a Buoyant Jet Diffusion Flame N. Dang et al. https://doi.org/10.1080/00102202.2022.2101105
- Global Dynamics Visualisation from Lagrangian Descriptors. Applications to Discrete and Continuous Systems J. Daquin et al. https://doi.org/10.2139/ssrn.4175901
- The Application of Lagrangian Descriptors to 3D Vector Fields V. García-Garrido et al. https://doi.org/10.1134/S1560354718050052
- Transport Barriers in Geophysical Flows: A Review S. Prants https://doi.org/10.3390/sym15101942
- Lagrangian study of the final warming in the southern stratosphere during 2002: Part I. The vortex splitting at upper levels J. Curbelo et al. https://doi.org/10.1007/s00382-019-04832-y
- Transport of Nitric Oxide Via Lagrangian Coherent Structures Into the Top of the Polar Vortex V. Harvey et al. https://doi.org/10.1029/2020JD034523
- A Method for Detecting Atmospheric Lagrangian Coherent Structures Using a Single Fixed-Wing Unmanned Aircraft System P. Nolan et al. https://doi.org/10.3390/s19071607
- Preface: Current perspectives in modelling, monitoring, and predicting geophysical fluid dynamics A. Mancho et al. https://doi.org/10.5194/npg-25-125-2018
- Mixing and Geometry in the North Atlantic Meridional Overturning Circulation R. Bruera et al. https://doi.org/10.1029/2022GL102244
- Lagrangian coherent structure assisted path planning for transoceanic autonomous underwater vehicle missions A. Ramos et al. https://doi.org/10.1038/s41598-018-23028-8
- Lagrangian coherent structures to examine mixing in the stratosphere J. Curbelo & M. Linz https://doi.org/10.5194/acp-25-7941-2025
Saved (final revised paper)
Latest update: 12 Jun 2026
Short summary
Lagrangian coherent structures have supported the description of transport processes in fluid dynamics. In this work we use the M function to provide new insights into the 3-D Lagrangian structure of the southern stratosphere. Dynamical systems concepts appropriate to 3-D, such as normally hyperbolic invariant curves, are discussed and applied to describe the vertical extension of the stratospheric polar vortex and its evolution.
Lagrangian coherent structures have supported the description of transport processes in fluid...
