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One way to analyze complicated non-autonomous flows is through trying to understand their transport behavior. In a quantitative, set-oriented approach to transport and mixing, finite time coherent sets play an important role. These are…

Dynamical Systems · Mathematics 2019-07-10 Péter Koltai , D. R. Michiel Renger

We demonstrate the control of vortical motion of neutral classical particles in driven superlattices. Our superlattice consists of a superposition of individual lattices whose potential depths are modulated periodically in time but with…

Chaotic Dynamics · Physics 2020-09-30 Aritra K. Mukhopadhyay , Peter Schmelcher

We consider the transverse force on a moving vortex with the acoustic metric using the $\phi $-mapping topological current theory. In the frame of effective spacetime geometry the vortex appear naturally by virtue of the vortex tensor in…

High Energy Physics - Theory · Physics 2009-11-11 Peng-ming Zhang , Li-ming Cao , Yi-shi Duan , Cheng-kui Zhong

One of the characteristic features of turbulent flows is the emergence of many vortices which interact, deform, and intersect, generating a chaotic movement. The evolution of a pair of vortices, e.g. condensation trails of a plane, can be…

Analysis of PDEs · Mathematics 2023-07-19 Sergei Iakunin , Luis Vega

Lagrangian statistics of passive tracers in rotating turbulence is investigated by Particle Tracking Velocimetry. A confined and steadily-forced turbulent flow is subjected to five different rotation rates. The PDFs of the velocity…

Fluid Dynamics · Physics 2013-07-24 Lorenzo Del Castello , Herman J. H. Clercx

Particles are a widespread tool for obtaining information from fluid flows. When Eulerian data are unavailable, they may be employed to estimate flow fields or to identify coherent flow structures. Here we numerically examine the…

Fluid Dynamics · Physics 2023-06-22 O. Outrata , M. Pavelka , J. Hron , M. La Mantia , J. I. Polanco , G. Krstulovic

A non-dissipative model for vortex motion in thin superconductors is considered. The Lagrangian is a Galilean invariant version of the Ginzburg--Landau model for time-dependent fields, with kinetic terms linear in the first time derivatives…

High Energy Physics - Theory · Physics 2009-10-30 N. S. Manton

We present an accurate Lagrangian method based on vortex particles, level-sets, and immersed boundary methods, for animating the interplay between two fluids and rigid solids. We show that a vortex method is a good choice for simulating…

Numerical Analysis · Mathematics 2016-08-16 Mathieu Coquerelle , Jérémie Allard , Georges-Henri Cottet , Marie-Paule Cani

We use recent developments in the theory of finite-time dynamical systems to objectively locate the material boundaries of coherent vortices in two-dimensional Navier--Stokes turbulence. We show that these boundaries are optimal in the…

Dynamical Systems · Mathematics 2014-06-30 Mohammad Farazmand , George Haller

The Lagrangian properties of the velocity field in a magnetized fluid are studied using three-dimensional simulations of a helical magnetohydrodynamic dynamo. We compute the attracting and repelling Lagrangian coherent structures, which are…

Solar and Stellar Astrophysics · Physics 2012-07-10 Erico L. Rempel , Abraham C. -L. Chian , Axel Brandenburg

Understanding, quantifying and controlling transport and mixing processes are central in the study of fluid flows. Many different Lagrangian approaches have been proposed for detecting organizing flow structures that determine material…

Fluid Dynamics · Physics 2026-04-17 Anna Klünker , Alexandra von Kameke , Kathrin Padberg-Gehle

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

The mechanism for efficient and coherent angular momentum transport remains one of the unsolved puzzles in astrophysics despite the enormous efforts that have been made. We suggest that important new insight could be gained in this problem…

Astrophysics · Physics 2015-06-24 Stirling A. Colgate , J. Robert Buchler

A method for extracting time-varying oscillatory motions from time series records is applied to Lagrangian trajectories from a numerical model of eddies generated by an unstable equivalent barotropic jet on a beta plane. An oscillation in a…

Atmospheric and Oceanic Physics · Physics 2015-05-30 Jonathan M. Lilly , Richard K. Scott , Sofia C. Olhede

The coherent vortical structures in turbulent flow through a strong 16:1 3-D contraction, are studied using time-resolved volumetric measurements. Visualization using vorticity magnitude criterion shows the emergence of long, stretched…

The vortex-wave system is a model for the evolution of 2D incompressible fluids in which the vorticity is split into a finite sum of Dirac masses plus an Lp part. Existence of a weak solution for this system was recently proved by Lopes…

Analysis of PDEs · Mathematics 2013-02-07 Gianluca Crippa , Milton C. Lopes Filho , Evelyne Miot , Helena J. Nussenzveig Lopes

Vortex is a central concept in the understanding of turbulent dynamics. Objective algorithms for the detection and extraction of vortex structures can facilitate the physical understanding of turbulence regeneration dynamics by enabling…

Fluid Dynamics · Physics 2019-12-06 Lu Zhu , Li Xi

Structures such as waves, jets, and vortices have a dramatic impact on the transport properties of a flow. Passive tracer transport in incompressible two-dimensional flows is described by Hamiltonian dynamics, and, for idealized structures,…

chao-dyn · Physics 2009-10-22 Jeffrey B. Weiss

New aspects of turbulence are uncovered if one considers flow motion from the perspective of a fluid particle (known as the Lagrangian approach) rather than in terms of a velocity field (the Eulerian viewpoint). Using a new experimental…

Fluid Dynamics · Physics 2009-11-07 N. Mordant , J. Delour , E. Leveque , A. Arneodo , J. -F. Pinton

In an experiment on a turbulent jet, we detect interfacial turbulent layers in a frame that moves, on average, along with the \tnti. This significantly prolongs the observation time of scalar and velocity structures and enables the…

Fluid Dynamics · Physics 2025-06-09 Ali R Khojasteh , Lyke K van Dalen , Coen Been , Jerry Westerweel , Willem van de Water