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A general link between geometry and intermittency in passive scalar turbulence is established. Intermittency is qualitatively traced back to events where tracer particles stay for anomalousy long times in degenerate geometries characterized…

Chaotic Dynamics · Physics 2009-10-31 A. Celani , M. Vergassola

Topological dynamics constitutes the study of asymptotic properties of orbits under flows or maps on the Hausdorff phase space. Hyperbolic dynamics is the study of differentiable flows or maps that are usually characterized by the presence…

Dynamical Systems · Mathematics 2025-09-11 Anima Nagar

We introduce a class of stochastic advection problems amenable to analysis of turbulent transport. The statistics of the flow field are represented as a continuous time Markov process, a choice that captures the intuitive notion of…

Fluid Dynamics · Physics 2022-12-01 Andre N. Souza , Tyler Lutz , Glenn R. Flierl

A combination of methods originating from non-stationary timeseries analysis is applied to two datasets of near surface turbulence in order to gain insights on the non-stationary enhancement mechanism of intermittent turbulence in the…

Atmospheric and Oceanic Physics · Physics 2019-09-04 Nikki Vercauteren , Vyacheslav Boyko , Amandine Kaiser , Danijel Belušić

The small-scale statistical properties of velocity circulation in classical homogeneous and isotropic turbulent flows are assessed through a modeling framework that brings together the multiplicative cascade and the structural descriptions…

Fluid Dynamics · Physics 2022-08-17 Luca Moriconi , Rodrigo M. Pereira , Victor J. Valadão

As a generalization of the mass-flux based classical stream-tube, the concept of momentum and energy transport tubes is discussed as a flow visualization tool. These transport tubes have the property, respectively, that no fluxes of…

Fluid Dynamics · Physics 2013-01-11 Johan Meyers , Charles Meneveau

We use a quantitative topological characterization of complex dynamics to measure geometric structures. This approach is used to analyze the weakly turbulent state of spiral defect chaos in experiments on Rayleigh-Benard convection.…

Pattern Formation and Solitons · Physics 2009-04-28 Kapilanjan Krishan , Marcio Gameiro , Konstantin Mischaikow , Michael F. Schatz

This paper exposes a novel exploratory formalism, which end goal is the numerical simulation of the dynamics of a cloud of particles weakly or strongly coupled with a turbulent fluid. Giventhe large panel of expertise of the list of…

Analysis of PDEs · Mathematics 2019-10-21 Ludovic Goudenège , Adam Larat , Julie Llobell , Marc Massot , David Mercier , Olivier Thomine , Aymeric Vié

In wall-bounded flows, the laminar regime remain linearly stable up to large values of the Reynolds number while competing with nonlinear turbulent solutions issued from finite amplitude perturbations. The transition to turbulence of plane…

Fluid Dynamics · Physics 2019-04-09 Paul Manneville , Masaki Shimizu

We present simulations of coherent structures in compressible flows near the transition to turbulence using the Dissipative Particle Dynamics (DPD) method. The structures we find are remarkably consistent with experimental observations and…

We consider relativistic hydrodynamics in the limit where the number of spatial dimensions is very large. We show that under certain restrictions, the resulting equations of motion simplify significantly. Holographic theories in a large…

High Energy Physics - Theory · Physics 2018-05-09 Moshe Rozali , Evyatar Sabag , Amos Yarom

A method is developed to estimate the properties of a global hydrodynamic instability in turbulent flows from measurement data of the limit-cycle oscillations. For this purpose, the flow dynamics are separated in deterministic contributions…

Fluid Dynamics · Physics 2021-04-21 Moritz Sieber , C. Oliver Paschereit , Kilian Oberleithner

ONE of the main goals in the development of theory of chaotic dynamical system has been to make progress in understanding of turbulence. The attempts to related turbulence to chaotic motion got strong impetus from the celebrated paper by…

Fluid Dynamics · Physics 2010-07-16 Zheng Ran

We consider the transport of passive admixture in locally homogeneous isotropic reflectionally noninvariant turbulence of incompressible fluid. It is shown that anomalous convective flow appears which direction does not coincide with that…

chao-dyn · Physics 2008-02-03 A. V. Chechkin , A. V. Tur , V. V. Yanovsky

This movie illustrates the recent numerical and experimental discovery of a new state of turbulence in dilute polymer solutions, Elasto-Inertial Turbulence. Elasto-inertial turbulence is characterized by a chaotic flow state in which both…

Fluid Dynamics · Physics 2012-10-18 Y. Dubief , V. E. Terrapon , J. Soria

In this study we investigate shallow turbidity density currents and underflows from mechanical point of view. We propose a simple hyperbolic model for such flows. On one hand, our model is based on very basic conservation principles. On the…

Fluid Dynamics · Physics 2020-02-20 Valery Liapidevskii , Denys Dutykh , Marguerite Gisclon

In their way to/from turbulence, plane wall-bounded flows display an interesting transitional regime where laminar and turbulent oblique bands alternate, the origin of which is still mysterious. In line with Barkley's recent work about the…

Fluid Dynamics · Physics 2015-06-05 Paul Manneville

We present new experimental results on the development of turbulent spots in channel flow. The internal structure of a turbulent spot is measured, with Time Resolved Stereoscopic Particle Image Velocimetry. We report the observation of…

Fluid Dynamics · Physics 2013-11-20 Grégoire Lemoult , Konrad Gumowski , Jean-Luc Aider , José Eduardo Wesfreid

Pipe flow and many other shear flows show a transition to turbulence at flow rates for which the laminar profile is stable against infinitesimal perturbations. In this brief review the recent progress in the understanding of this transition…

Fluid Dynamics · Physics 2018-06-13 Bruno Eckhardt

Numerical simulations of a model of plane Couette flow focusing on its in-plane spatio-temporal properties are used to study the dynamics of turbulent spots.

Fluid Dynamics · Physics 2008-11-25 M. Lagha , P. Manneville