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It is a wide-spread convention to identify repelling Lagrangian Coherent Structures (LCSs) with ridges of the forward finite-time Lyapunov exponent (FTLE) field, and attracting LCSs with ridges of the backward FTLE. We show that in…

Dynamical Systems · Mathematics 2019-01-29 Daniel Karrasch

Lagrangian Coherent Structures (LCS) are flow features which are defined to objectively characterize complex fluid behavior over a finite time regardless of the orientation of the observer. Fluidic applications of LCS include geophysical,…

Fluid Dynamics · Physics 2023-10-18 Tanner D. Harms , Steven L. Brunton , Beverley J. McKeon

We give an algorithmic introduction to Lagrangian coherent structures (LCSs) using a newly developed computational engine, LCS Tool. LCSs are most repelling, attracting and shearing material lines that form the centerpieces of observed…

Chaotic Dynamics · Physics 2016-04-12 K. Onu , F. Huhn , G. Haller

Lagrangian coherent structures (LCSs) are material surfaces that shape finite-time tracer patterns in flows with arbitrary time dependence. Depending on their deformation properties, elliptic and hyperbolic LCSs have been identified from…

Dynamical Systems · Mathematics 2016-11-23 David Oettinger , George Haller

Poleward water vapor transport in the midlatitudes mainly occurs in meandering filaments of intense water vapor transport, spanning thousands of kilometers long and hundreds of kilometers wide and drifting eastward. The water vapor…

Atmospheric and Oceanic Physics · Physics 2024-04-02 Hing Ong , Da Yang

Many complex flows such as those arising from ocean plastics in geophysics or moving cells in biology are characterized by sparse and noisy trajectory datasets. We introduce techniques for identifying Lagrangian Coherent Structures (LCSs)…

Fluid Dynamics · Physics 2022-09-21 Saviz Mowlavi , Mattia Serra , Enrico Maiorino , L Mahadevan

Persistent Lagrangian transport patterns at the ocean surface are revealed from Lagrangian Coherent Structures (LCSs) computed from daily climatological surface current velocities in the northwestern Gulf of Mexico (NWGoM). The velocities…

Atmospheric and Oceanic Physics · Physics 2017-10-12 M. K. Gough , F. J. Beron-Vera , M. J. Olascoaga , J. Sheinbaum , J. Juoanno , R. Duran

Active flows are central to mixing and transport across living systems. While Newtonian fluids remain laminar, diffusive and predictable at the microscale, living fluids like dense bacterial suspensions can exhibit highly chaotic flows like…

Fluid Dynamics · Physics 2026-05-26 Suvarchalanjan Bellaganti , Amal Manoharan , Kirti Kashyap , Siddhartha Mukherjee

High-speed stereo PIV-measurements have been performed in a turbulent boundary layer at Re$_{\theta}$ of 9800 in order to elucidate the coherent structures. Snapshot proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD)…

Fluid Dynamics · Physics 2017-04-14 Naseem Ali , Murat Tutkun , Raúl Bayoán Cal

We construct a climatology of Lagrangian coherent structures (LCSs), the concealed skeleton that shapes transport, with a twelve-year-long data-assimilative simulation of the sea-surface circulation in the Gulf of Mexico (GoM). Computed as…

Atmospheric and Oceanic Physics · Physics 2018-03-28 Rodrigo Duran , Francisco J. Beron-Vera , Maria Josefina Olascoaga

Coastal tidal estuaries are vital to the exchange of energy and material between inland waters and the open ocean. Debris originating from the land and ocean enter this environment and are transported by currents (river outflow and tide),…

Atmospheric and Oceanic Physics · Physics 2020-03-10 Kabir A. Suara , Mohammadreza Khanarmuei , Anusmriti Ghosh , Yingying Yu , Hong Zhang , Tarmo Soomere , Richard J. Brown

Atmospheric Rivers (ARs) are filamentary moisture pathways responsible for a large fraction of extreme precipitation and often occur as interacting filament bundles within the same synoptic regime. Existing diagnostics typically analyze ARs…

Chaotic Dynamics · Physics 2026-01-05 Ioannis Diamantis

We consider Lagrangian coherent structures (LCSs) as the boundaries of material subsets whose advective evolution is metastable under weak diffusion. For their detection, we first transform the Eulerian advection-diffusion equation to…

Dynamical Systems · Mathematics 2020-06-17 Daniel Karrasch , Johannes Keller

Turbulence and chaos play a fundamental role in stellar convective zones through the transportof particles, energy and momentum, and in fast dynamos, through the stretching, twisting and folding of magnetic flux tubes. A particularly…

Solar and Stellar Astrophysics · Physics 2015-05-20 Erico L. Rempel , Abraham C. -L. Chian , Axel Brandenburg

To facilitate the understanding and to quantitatively assess the material transport in fluids, a modern characterisation method has emerged in fluid dynamics in the last decades footed in dynamical systems theory. It allows to examine the…

Dissipative dynamical systems characterised by two basins of attraction are found in many physical systems, notably in hydrodynamics where laminar and turbulent regimes can coexist. The state space of such systems is structured around a…

Fluid Dynamics · Physics 2020-09-11 Miguel Beneitez , Yohann Duguet , Philipp Schlatter , Dan S. Henningson

We identify materially defined regions in unsteady two-dimensional flows that combine finite-time contraction with elevated accumulated intrinsic rotation along trajectories, which we term \emph{Lagrangian rotating contracting structures}…

Chaotic Dynamics · Physics 2026-04-29 F. J. Beron-Vera

Vertical motions across the ocean are central to processes, like CO$_2$ fixation, heat removal or pollutant transport, which are essential to the Earth's climate. This work explores 3D conveyor routes {associated with} the Atlantic…

Atmospheric and Oceanic Physics · Physics 2024-12-24 Renzo Bruera , Jezabel Curbelo , Guillermo Garcia-Sanchez , Ana M. Mancho

This study presents several new observations from the study of a warm-core ring (WCR) in the Gulf of Mexico based on the ECCO2 global ocean simulation. Using Lagrangian coherent structures (LCS) techniques to investigate this flow reveals a…

Atmospheric and Oceanic Physics · Physics 2015-06-17 Doug Lipinski , Kamran Mohseni

We study three dimensional oceanic Lagrangian Coherent Structures (LCSs) in the Benguela region, as obtained from an output of the ROMS model. To do that we first compute Finite-Size Lyapunov exponent (FSLE) fields in the region volume,…

Atmospheric and Oceanic Physics · Physics 2012-09-26 João H. Bettencourt , Cristóbal López , Emilio Hernández-García
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