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We apply the Lagrangian approach to study surface transport and mixing in the ocean. New tools have been developed to track the motion of water masses, their origin and fate and to quantify transport and mixing. To illustrate the methods…

Atmospheric and Oceanic Physics · Physics 2017-08-23 S. V. Prants , M. V. Budyansky , M. Yu. Uleysky

This article reviews several recently developed Lagrangian tools and shows how their combined use succeeds in obtaining a detailed description of purely advective transport events in general aperiodic flows. In particular, because of the…

Fluid Dynamics · Physics 2012-08-22 Carolina Mendoza , Ana M. Mancho

Lagrangian approach is applied to study near-surface large-scale transport in the Kuroshio Extension area using a simulation with synthetic particles advected by AVISO altimetric velocity field. A material line technique is applied to find…

Atmospheric and Oceanic Physics · Physics 2014-10-09 S. V. Prants , M. V. Budyansky , M. Yu. Uleysky

We use dynamical systems approach and Lagrangian tools to study surface transport and mixing of water masses in a selected coastal region of the Japan Sea with moving mesoscale eddies associated with the Primorskoye Current. Lagrangian…

Atmospheric and Oceanic Physics · Physics 2012-02-03 S. V. Prants , M. V. Budyansky , V. I. Ponomarev , M. Yu. Uleysky

Water current prediction is essential for understanding ecosystems, and to shed light on the role of the ocean in the global climate context. Solutions vary from physical modeling, and long-term observations, to short-term measurements. In…

Machine Learning · Computer Science 2023-01-12 Murad Tukan , Eli Biton , Roee Diamant

Vertical transport in the ocean plays a critical role in the exchange of freshwater, heat, nutrients, and other biogeochemical tracers. While there are situations where vertical fluxes are important, studying the vertical transport and…

Oceanic surface flows are dominated by finite-time Lagrangian coherent structures that separate regions of qualitatively different dynamical behavior. Among these, eddy boundaries are of particular interest. Their exact identification is…

Atmospheric and Oceanic Physics · Physics 2019-05-17 Benedict Lünsmann , Holger Kantz

We describe the application of a new technique from nonlinear dynamical systems to infer the Lagrangian connectivity of the deep global ocean. We approximate the dynamic Laplacian using Argo trajectories from January 2011 to January 2017…

Dynamical Systems · Mathematics 2022-05-25 Ryan Abernathey , Christopher Bladwell , Gary Froyland , Konstantinos Sakellariou

Irrotational and monochromatic surface gravity waves possess a mean Lagrangian drift which transports mass and enhances mixing in the upper ocean. In the ocean, where many surface waves are present, it is commonly assumed that the mean…

Fluid Dynamics · Physics 2026-05-20 Aidan Blaser , Luc Lenain , Nick Pizzo

Coherent boundaries of Lagrangian vortices in fluid flows have recently been identified as closed orbits of line fields associated with the Cauchy-Green strain tensor. Here we develop a fully automated procedure for the detection of such…

Dynamical Systems · Mathematics 2015-01-19 Daniel Karrasch , Florian Huhn , George Haller

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

The transport and distribution of organisms like larvae, seeds or litter in the ocean as well as particles in industrial flows is often approximated by a transport of tracer particles. We present a theoretical investigation to check the…

Fluid Dynamics · Physics 2024-07-26 Deoclécio Valente , Ksenia Guseva , Ulrike Feudel

We explore the possibility to identify areas of intense patch formation from floating items due to systematic convergence of surface velocity fields by means of a visual comparison of Lagrangian Coherent Structures (LCS) and estimates of…

Atmospheric and Oceanic Physics · Physics 2021-02-11 Andrea Giudici , Kabir Suara , Tarmo Soomere , Richard Brown

Using trajectories from acoustically tracked (RAFOS) floats in the Gulf of Mexico, we construct a geography of its Lagrangian circulation within the 1500--2500-m layer. This is done by building a Markov-chain representation of the…

Atmospheric and Oceanic Physics · Physics 2019-02-20 P Miron , F Beron-Vera , M Olascoaga , G Froyland , P Perez-Brunius , J Sheinbaum

Using Lagrangian methods we analyze a 20-year-long estimate of water flux through the Kamchatka Strait in the northern North Pacific based on AVISO velocity field. It sheds new light on the flux pattern and its variability on annual and…

Atmospheric and Oceanic Physics · Physics 2014-10-10 S. V. Prants , A. G. Andreev , M. Yu. Uleysky , M. V. Budyansky

Lagrangian ocean drifters provide highly accurate approximations of ocean surface currents but are sparsely located across the globe. As drifters passively follow ocean currents, there is minimal control on where they will be making…

Dynamical Systems · Mathematics 2019-10-01 Nikolas O. Aksamit , Themistoklis P. Sapsis , George Haller

We study the efficiency of search processes based on Levy flights (LFs) with power-law distributed jump lengths in the presence of an external drift. While LFs turn out to be efficient search processes when relative to the starting point…

Statistical Mechanics · Physics 2013-06-06 Vladimir V. Palyulin , Aleksei V. Chechkin , Ralf Metzler

This paper proposes stochastic models for the analysis of ocean surface trajectories obtained from freely-drifting satellite-tracked instruments. The proposed time series models are used to summarise large multivariate datasets and infer…

Applications · Statistics 2017-03-16 Adam M. Sykulski , Sofia C. Olhede , Jonathan M. Lilly , Eric Danioux

Lagrangian coherent structures (LCS) in fluid flows appear as co-dimension one ridges of the finite time Lyapunov exponent (FTLE) field. In three- dimensions this means two-dimensional ridges. A fast algorithm is presented here to locate…

Fluid Dynamics · Physics 2012-02-24 Doug Lipinski , Kamran Mohseni

Commonplace in oceanography is the collection of ocean drifter positions. Ocean drifters are devices that sit on the surface of the ocean and move with the flow, transmitting their position via GPS to stations on land. Using drifter data,…

Computation · Statistics 2014-08-28 Damon McDougall , Chris K. R. T. Jones
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