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We study the Lagrangian dynamics of passive tracers in a simple model of a driven two-dimensional vortex resembling real-world geophysical flow patterns. Using a discrete approximation of the system's transfer operator, we construct a…

Chaotic Dynamics · Physics 2017-04-05 Michael Lindner , Reik V. Donner

Reliable estimates of the fluxes of momentum, heat, and moisture at the air-sea interface are essential for accurate long term climate projections, as well as the prediction of short term weather events such as tropical cyclones. In recent…

Fluid Dynamics · Physics 2020-06-10 Fabrice Veron , Luc Mieussens

One of the ubiquitous features of real-life turbulent flows is the existence and persistence of coherent vortices. Here we show that such coherent vortices can be extracted as clusters of Lagrangian trajectories. We carry out the clustering…

Chaotic Dynamics · Physics 2016-07-06 Alireza Hadjighasem , Daniel Karrasch , Hiroshi Teramoto , George Haller

Vortices are swirling regions of fluid that structure motion in gases and liquids across a wide range of scales, from laboratory-scale experiments to vast atmospheric currents. They play a key role in mixing, transport, and energy transfer,…

Fluid Dynamics · Physics 2026-02-18 Tiemo Pedergnana , Florian Kogelbauer

A current-aided inertial navigation framework is proposed for small autonomous underwater vehicles in long-duration operations (> 1 hour), where neither frequent surfacing nor consistent bottom-tracking are available. We instantiate this…

Robotics · Computer Science 2017-10-17 Zhuoyuan Song , Kamran Mohseni

Dynamical systems theory approach has been successfully used in physical oceanography for the last two decades to study mixing and transport of water masses in the ocean. The basic theoretical ideas have been borrowed from the phenomenon of…

Atmospheric and Oceanic Physics · Physics 2015-02-06 S. V. Prants

Predicting particle transport in complex flows is traditionally achieved by solving the Navier-Stokes equations. While various numerical and experimental methods exist, they typically require deep physical insights and incur high…

Fluid Dynamics · Physics 2025-11-03 Jingdi Wan , Hongping Wang , Bo Liu , Xiaolei Yang , Xiaodong Hu , Shengze Cai , Guowei He , Yang Liu

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

Simulating oil transport in the ocean can be done successfully provided that accurate ocean currents and surface winds are available -- this is often too big of a challenge. Deficient ocean currents can sometimes be remediated by…

Atmospheric and Oceanic Physics · Physics 2021-06-18 Rodrigo Duran , Tor Nordam , Mattia Serra , Chris Barker

We present a transportable system for ocean observations in which a small autonomous surface vehicle (ASV) adaptively collects spatially diverse samples with aid from a team of inexpensive, passive floating sensors known as drifters.…

Robotics · Computer Science 2021-01-13 Johanna Hansen , Sandeep Manjanna , Alberto Quattrini Li , Ioannis Rekleitis , Gregory Dudek

The purpose of this paper is to examine the Lagrangian stochastic modeling of the fluid velocity seen by inertial particles in a nonhomogeneous turbulent flow. A new Langevin-type model, compatible with the transport equation of the drift…

Fluid Dynamics · Physics 2009-07-01 Boris Arcen , Anne Tanière

Reconstructions of Lagrangian drift, for example for objects lost at sea, are often uncertain due to unresolved physical phenomena within the data. Uncertainty is usually overcome by introducing stochasticity into the drift, but this…

Drifters designed to mimic floating marine debris and small patches of pelagic \emph{Sargassum} were satellite tracked in four regions across the North Atlantic. Though subjected to the same initial conditions at each site, the tracks of…

Atmospheric and Oceanic Physics · Physics 2020-10-28 P. Miron , M. J. Olascoaga , F. J. Beron-Vera , N. F. Putman , J. Trinanes , R. Lumpkin , G. J. Goni

A computationally efficient model is introduced to account for the sub-grid scale velocities of tracer particles dispersed in statistically homogeneous and isotropic turbulent flows. The model embeds the multi-scale nature of turbulent…

Fluid Dynamics · Physics 2015-06-18 I. M. Mazzitelli , F. Toschi , A. S. Lanotte

A framework is proposed in this paper that is used to segment flow of dense crowds. The flow field that is generated by the movement in the crowd is treated just like an aperiodic dynamic system. On this flow field a grid of particles is…

Computer Vision and Pattern Recognition · Computer Science 2015-06-16 Javairia Nazir , Mehreen Sirshar

Motion planning for vehicles under the influence of flow fields can benefit from the idea of streamline-based planning, which exploits ideas from fluid dynamics to achieve computational efficiency. Important to such planners is an efficient…

Robotics · Computer Science 2021-03-24 K. Y. Cadmus To , Chanyeol Yoo , Stuart Anstee , Robert Fitch

Concepts and tools from network theory, the so-called Lagrangian Flow Network framework, have been successfully used to obtain a coarse-grained description of transport by closed fluid flows. Here we explore the application of this…

We address Lagrangian drift simulation in geophysical dynamics and explore deep learning approaches to overcome known limitations of state-of-the-art model-based and Markovian approaches in terms of computational complexity and error…

Machine Learning · Computer Science 2022-11-21 Daria Botvynko , Carlos Granero-Belinchon , Simon Van Gennip , Abdesslam Benzinou , Ronan Fablet

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

Estimating ocean flow fields in 3D is a critical step in enabling the reliable operation of underwater gliders and other small, low-powered autonomous marine vehicles. Existing methods produce depth-averaged 2D layers arranged at discrete…

Robotics · Computer Science 2021-04-12 Felix H. Kong , K. Y. Cadmus To , Gary Brassington , Stuart Anstee , Robert Fitch