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Lagrangian statistics and particle transport in edge plasma turbulence are investigated using the Hasegawa-Wakatani model and its modified version. The latter shows the emergence of pronounced zonal flows. Different values of the…

等离子体物理 · 物理学 2022-12-09 Benjamin Kadoch , Diego del-Castillo-Negrete , Wouter J. T. Bos , Kai Schneider

We report experimental results on the three dimensional Lagrangian acceleration in highly turbulent flows. Tracer particles are tracked optically using four silicon strip detectors from high energy physics that provide high temporal and…

流体动力学 · 物理学 2009-11-10 Nicolas Mordant , Alice M. Crawford , Eberhard Bodenschatz

We develop a continuous time random walk (CTRW) approach for the evolution of Lagrangian velocities in steady heterogeneous flows based on a stochastic relaxation process for the streamwise particle velocities. This approach describes…

流体动力学 · 物理学 2016-11-30 Marco Dentz , Peter K. Kang , Alessandro Comolli , Tanguy Le Borgne , Daniel R. Lester

Dynamical systems often exhibit the emergence of long-lived coherent sets, which are regions in state space that keep their geometric integrity to a high extent and thus play an important role in transport. In this article, we provide a…

动力系统 · 数学 2017-04-05 Ralf Banisch , Péter Koltai

We introduce the concept of a "transitory" dynamical system---one whose time-dependence is confined to a compact interval---and show how to quantify transport between two-dimensional Lagrangian coherent structures for the Hamiltonian case.…

混沌动力学 · 物理学 2015-03-17 B. A. Mosovsky , J. D. Meiss

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…

动力系统 · 数学 2020-06-17 Daniel Karrasch , Johannes Keller

We analyze data from direct numerical simulations of homogeneous and isotropic turbulence (at Re_\lambda \approx 280) and study the statistics of curvature and torsion of Lagrangian trajectories in order to extract informations on the…

混沌动力学 · 物理学 2009-09-11 Andrea Scagliarini

Deploying Lagrangian drifters that facilitate the state estimation of the underlying flow field within a future time interval is practically important. However, the uncertainty in estimating the flow field prevents using standard…

动力系统 · 数学 2024-02-16 Erik Bollt , Nan Chen , Stephen Wiggins

A deterministic multi-scale dynamical system is introduced and discussed as prototype model for relative dispersion in stationary, homogeneous and isotropic turbulence. Unlike stochastic diffusion models, here trajectory transport and…

流体动力学 · 物理学 2017-04-19 Guglielmo Lacorata , Angelo Vulpiani

We study uncertainty in the dynamics of time-dependent flows by identifying barriers and enhancers to stochastic transport. This topological segmentation is closely related to the theory of Lagrangian coherent structures and is based on a…

地球物理 · 物理学 2020-09-11 Tobias Rapp , Carsten Dachsbacher

The particle proper orthogonal decomposition (PPOD) is demonstrated on cases of particle flows in decaying homogeneous isotropic turbulence. Data is generated through one-way coupled simulations, where particle positions and velocities are…

流体动力学 · 物理学 2022-05-30 Martin Schiødt , Azur Hodzic , Fabien Evrard , Berend van Wachem , Clara M. Velte

Recent advances enable the simultaneous computation of both attracting and repelling families of Lagrangian Coherent Structures (LCS) at the same initial or final time of interest. Obtaining LCS positions at intermediate times, however, has…

动力系统 · 数学 2019-01-29 Daniel Karrasch , Mohammad Farazmand , 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,…

流体动力学 · 物理学 2026-02-18 Tiemo Pedergnana , Florian Kogelbauer

The Lagrangian approach is natural to study issues of turbulent dispersion and mixing. We propose in this work a general Lagrangian stochastic model including velocity and acceleration as dynamical variables for inhomogeneous turbulent…

流体动力学 · 物理学 2020-05-01 Alessio Innocenti , Nicolas Mordant , Nick Stelzenmuller , Sergio Chibbaro

Lagrangian techniques, such as the finite-time Lyapunov exponent (FTLE) and hyperbolic Lagrangian coherent structures (LCS), have become popular tools for analyzing unsteady fluid flows. These techniques identify regions where particles…

混沌动力学 · 物理学 2020-10-27 Peter J. Nolan , Mattia Serra , Shane D. Ross

We consider the relationship between Eulerian modal decompositions and Lagrangian coherent structures (LCSs). The model sensitivity framework developed by Kasz\'as and Haller (2020) is used to express data-driven modal representations of…

流体动力学 · 物理学 2025-12-24 Morgan R. Jones , Charles Klewicki , Oliver Khan , Steven L. Brunton , Mitul Luhar

We investigate the Lagrangian statistics of three-dimensional rotating turbulent flows through direct numerical simulations. We find that the emergence of coherent vortical structures because of the Coriolis force leads to a suppression of…

流体动力学 · 物理学 2019-10-23 Priyanka Maity , Rama Govindarajan , Samriddhi Sankar Ray

The dynamics of inertial particles in fluid flows have been the focus of extensive research due to their relevance in a wide range of industrial and environmental processes. Earlier studies have examined the dynamics of aerosols and bubbles…

流体动力学 · 物理学 2024-09-05 P. Swaathi , Sanjit Das , N. Nirmal Thyagu

We study the transport properties of nonautonomous chaotic dynamical systems over a finite time duration. We are particularly interested in those regions that remain coherent and relatively non-dispersive over finite periods of time,…

动力系统 · 数学 2015-05-19 Gary Froyland , Naratip Santitissadeekorn , Adam Monahan

We analyse the flow organization of turbulent fountains in stratified media under different conditions, using three-dimensional finite-time Lyapunov exponents. The dominant Lagrangian coherent structures responsible for the transport…