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Plasma turbulence is a key challenge in understanding transport phenomena in magnetically confined plasmas. This work presents a novel approach using periodic orbit theory to analyze plasma turbulence, identifying fundamental structures…

Plasma Physics · Physics 2025-09-12 Sidney D. V. Williams , Matthew N. Gudorf , Dmitri M. Orlov

The quasi-coherent effects in two-dimensional incompressible turbulence are analyzed starting from the test particle trajectories. They can acquire coherent aspects when the stochastic potential has slow time variation and the motion is not…

Plasma Physics · Physics 2017-04-05 M. Vlad , F. Spineanu

We demonstrate via direct numerical simulations that a periodic, oscillating mean flow spontaneously develops from turbulently generated internal waves. We consider a minimal physical model where the fluid self-organizes in a convective…

Fluid Dynamics · Physics 2018-08-01 Louis-Alexandre Couston , Daniel Lecoanet , Benjamin Favier , Michael Le Bars

Many different models of the physical world exhibit chaotic dynamics, from fluid flows and chemical reactions to celestial mechanics. The study of the three-body problem (3BP) and its many different families of unstable periodic orbits…

Dynamical Systems · Mathematics 2025-12-04 Owen M. Brook , Jason J. Bramburger , Davide Amato , Urban Fasel

A wide range of techniques exist for extracting the dominant flow dynamics and features about steady, or periodic base flows. However, there have been limited efforts in extracting the dominant dynamics about unsteady, aperiodic base flow.…

Fluid Dynamics · Physics 2025-06-05 Alec J. Linot , Barbara Lopez-Doriga , Yonghong Zhong , Kunihiko Taira

Active fluids exhibit chaotic flows at low Reynolds number known as active turbulence. Whereas the statistical properties of the chaotic flows are increasingly well understood, the nature of the transition from laminar to turbulent flows as…

Soft Condensed Matter · Physics 2026-01-08 Malcolm Hillebrand , Ricard Alert

This article presents a modelling of the formation of spanwise vorticity in the turbulent streaks of the oblique bands and spots of transitional plane Couette flow. A functional model is designed to mimic the coherent flow in the streaks.…

Fluid Dynamics · Physics 2015-12-10 Joran Rolland

We consider a test problem for Navier-Stokes solvers based on the flow around a cylinder that exhibits chaotic behavior, to examine the behavior of various numerical methods. We choose a range of Reynolds numbers for which the flow is…

Numerical Analysis · Mathematics 2024-08-19 Henry von Wahl , L. Ridgway Scott

We present a reformulation of unsteady turbulent flow simulations. The initial condition is relaxed and information is allowed to propagate both forward and backward in time. Simulations of chaotic dynamical systems with this reformulation…

Fluid Dynamics · Physics 2015-06-12 Qiqi Wang , Steven Gomez , Patrick Blonigan , Alastair Gregory , Elizabeth Qian

Fluid flows in nature and applications are frequently subject to periodic velocity modulations. Surprisingly, even for the generic case of flow through a straight pipe, there is little consensus regarding the influence of pulsation on the…

Fluid Dynamics · Physics 2017-11-22 Duo Xu , Sascha Warnecke , Baofang Song , Xingyu Ma , Björn Hof

When very small particles are suspended in a fluid in motion, they tend to follow the flow. How such tracer particles are mixed, transported, and dispersed by turbulent flow has been successfully described by statistical models. Heavy…

Fluid Dynamics · Physics 2023-12-21 J. Bec , K. Gustavsson , B. Mehlig

Particle image velocimetry is applied to the lid-driven flow in a cube to validate the numerical prediction of steady - oscillatory transition at lower than ever observed Reynolds number. Experimental results agree with the numerical…

Fluid Dynamics · Physics 2015-05-28 A. Liberzon , Y. Feldman , A. Yu. Gelfgat

Recent studies of pressure-driven flows of dilute polymer solutions in straight channels demonstrated the existence of two-dimensional coherent structures that are disconnected from the laminar state and appear through a sub-critical…

Fluid Dynamics · Physics 2023-03-29 Martin Lellep , Moritz Linkmann , Alexander Morozov

There is a recent surge in research activities on modeling the flow of fluids in porous media with complex pore-networks. A prominent mathematical model, which describes the flow of incompressible fluids in porous media with two dominant…

Numerical Analysis · Mathematics 2020-12-01 K. B. Nakshatrala

Newtonian pipe flow is known to be linearly stable at all Reynolds numbers. We report, for the first time, a linear instability of pressure driven pipe flow of a viscoelastic fluid, obeying the Oldroyd-B constitutive equation commonly used…

Fluid Dynamics · Physics 2018-07-18 Piyush Garg , Indresh Chaudhary , Mohammad Khalid , V Shankar , Ganesh Subramanian

We report experimental evidence of an Eulerian-mean flow, $\overline{u}(z)$, created by the interaction of surface waves and tailored ambient sub-surface turbulence, which partly cancels the Stokes drift, $u_s(z)$, and present supporting…

Intrinsic instability of trajectories characterizes chaotic dynamical systems. We report here that trajectories can exhibit a surprisingly high degree of stability, over a very long time, in a chaotic dynamical system. We provide a detailed…

Chaotic Dynamics · Physics 2017-07-17 Greg Huber , Marc Pradas , Alain Pumir , Michael Wilkinson

Periodic travelling waves at the free surface of an incompressible inviscid fluid in two dimensions under gravity are numerically computed for an arbitrary vorticity distribution. The fluid domain over one period is conformally mapped from…

Fluid Dynamics · Physics 2025-02-26 Alex Doak , Vera Mikyoung Hur , Jean-Marc Vanden-Broeck

Direct numerical simulations of a liquid metal filling the gap between two concentric spheres are presented. The flow is governed by the interplay between the rotation of the inner sphere (measured by the Reynolds number Re) and a weak…

Fluid Dynamics · Physics 2023-07-26 Ferran Garcia , Martin Seilmayer , André Giesecke , Frank Stefani

Being able to accurately model and predict the dynamics of dispersed inclusions transported by a turbulent flow, remains a challenge with important scientific, environmental and economical issues. One critical and difficult point is to…