Recurrence of Travelling Waves in Transitional Pipe Flow

No abstract is available for this paper.

• Publication year

  2007

• Venue

  Bulletin of the American Physical Society

• Publication date

  2007-08-10

• Fields of study

  Physics, Geology

• Identifiers
  DOI 10.1007/978-3-540-72604-3_24
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Periodic motion representing isotropic turbulence

  2018cited by this paper
• Turbulence transition in pipe flow

  2007cited by this paper
• Third‐order‐accurate semi‐implicit Runge–Kutta scheme for incompressible Navier–Stokes equations

  2006cited by this paper
• Critical behavior in the relaminarization of localized turbulence in pipe flow.

  2006cited by this paper
• Finite lifetime of turbulence in shear flows

  2006cited by this paper
• Decay of turbulence in pipe flow.

  2006cited by this paper
• Edge of chaos in a parallel shear flow.

  2006cited by this paper
• INVITED ARTICLE: Recent progress in understanding the transition to turbulence in a pipe

  2005cited by this paper
• Turbulence regeneration in pipe flow at moderate Reynolds numbers.

  2005cited by this paper
• Laminarization of minimal plane Couette flow: Going beyond the basin of attraction of turbulence

  2005cited by this paper
• Characterization of near-wall turbulence in terms of equilibrium and "bursting" solutions

  2005cited by this paper
• Experimental Observation of Nonlinear Traveling Waves in Turbulent Pipe Flow

  2004cited by this paper
• Traveling waves in pipe flow.

  2003cited by this paper
• Homotopy of exact coherent structures in plane shear flows

  2003cited by this paper
• Sensitive dependence on initial conditions in transition to turbulence in pipe flow

  2003influential reference
• A periodic-like solution in channel flow

  2003cited by this paper
• Exact coherent structures in pipe flow: travelling wave solutions

  2003cited by this paper
• The Dynamics of Bursting Process in Wall Turbulence

  2001influential reference
• Low-dimensional dynamics of a turbulent wall flow

  2001cited by this paper
• Exact coherent structures in channel flow

  2001cited by this paper
• Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst

  2001cited by this paper
• THREE-DIMENSIONAL COHERENT STATES IN PLANE SHEAR FLOWS

  1998cited by this paper
• Fractal Stability Border in Plane Couette Flow

  1997cited by this paper
• Tertiary and quaternary solutions for plane Couette flow

  1997cited by this paper
• Fully developed turbulent pipe flow: a comparison between direct numerical simulation and experiment

  1994cited by this paper
• Three-dimensional convection in a horizontal fluid layer subjected to a constant shear

  1992cited by this paper
• Recycling of strange sets: II. Applications

  1990cited by this paper
• Three-dimensional finite-amplitude solutions in plane Couette flow: bifurcation from infinity

  1990cited by this paper
• Recycling of strange sets: I. Cycle expansions

  1990cited by this paper
• Invariant measurement of strange sets in terms of cycles.

  1988cited by this paper
• Transition to turbulence in plane Poiseuille and plane Couette flow

  1980cited by this paper
• On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug

  1973cited by this paper

• Nonlinear evolution of vortical disturbances entrained in the entrance region of a circular pipe

  2024cites this paper
• The minimal seed for transition to convective turbulence in heated pipe flow

  2024cites this paper
• Capturing the edge of chaos as a spectral submanifold in pipe flows

  2023cites this paper
• Observing a dynamical skeleton of turbulence in Taylor–Couette flow experiments

  2022cites this paper
• Recurrent flow patterns as a basis for turbulence: predicting statistics from structures

  2022cites this paper
• The state space and travelling-wave solutions in two-scale wall-bounded turbulence

  2022cites this paper
• Turbulence tracks recurrent solutions

  2022cites this paper
• Exact coherent states in plane Couette flow under spanwise wall oscillation

  2022cites this paper
• Poiseuille flow in rough pipes: linear instability induced by vortex–wave interactions

  2021cites this paper
• Transition Problem and Localized Turbulent Structures in Pipes

  2021cites this paper
• Exact coherent structures and shadowing in turbulent Taylor–Couette flow

  2021cites this paper
• Suppression of turbulence and travelling waves in a vertical heated pipe

  2020cites this paper
• Capturing Turbulent Dynamics and Statistics in Experiments with Unstable Periodic Orbits.

  2020cites this paper
• Solving Single Phase Fluid Flow Instability Equations Using Chebyshev Tau- QZ Polynomial

  2019cites this paper
• Heteroclinic and homoclinic connections in a Kolmogorov-like flow.

  2019cites this paper
• Low-dimensional models of the transition to turbulence

  2019cites this paper
• Stably stratified exact coherent structures in shear flow: the effect of Prandtl number

  2019influential citation
• Nonlinear exact coherent structures in pipe flow and their instabilities

  2019cites this paper
• Selection and peer-review under responsibility of ATI NAZIONALE

  2018influential citation
• Exact Coherent Structures in power-law fluids in pipe geometry

  2018cites this paper
• Unstable equilibria and invariant manifolds in quasi-two-dimensional Kolmogorov-like flow.

  2018cites this paper
• Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics

  2018cites this paper
• Transition to turbulence in shear flows

  2018cites this paper
• A versatile scanning method for volumetric measurements of velocity and density fields

  2018cites this paper
• Exact coherent structures in stably stratified plane Couette flow

  2017cites this paper
• Small scale exact coherent structures at large Reynolds numbers in plane Couette flow

  2017cites this paper
• Surfing the edge: finding nonlinear solutions using feedback control

  2017cites this paper
• Self-sustaining processes at all scales in wall-bounded turbulent shear flows

  2017cites this paper
• Invariant solutions in a channel flow using a minimal restricted nonlinear model

  2017cites this paper
• Surfing the edge: using feedback control to find nonlinear solutions

  2017cites this paper
• Coherent structures in wall-bounded turbulence

  2017cites this paper
• Nonlinear waves with a threefold rotational symmetry in pipe flow: influence of a strongly shear-thinning rheology

  2017cites this paper
• Exact Invariant Solutions for Coherent Turbulent Motions in Couette and Poiseuille Flows

  2017cites this paper
• Temporal and spatial intermittencies within channel flow turbulence near transition

  2017cites this paper
• Layer formation in horizontally forced stratified turbulence: connecting exact coherent structures to linear instabilities

  2017cites this paper
• Travelling wave states in pipe flow

  2016cites this paper
• Vertically localised equilibrium solutions in large-eddy simulations of homogeneous shear flow

  2016cites this paper
• Invariant solutions of minimal large-scale structures in turbulent channel flow for $Re_{\unicode[STIX]{x1D70F}}$ up to 1000

  2016cites this paper
• Development of radial velocity component in accelerating start-up pipe flow

  2015cites this paper
• Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence.

  2015cites this paper
• A mechanism for streamwise localisation of nonlinear waves in shear flows

  2015cites this paper
• Travelling wave states in pipe flow

  2015cites this paper
• Relative periodic orbits form the backbone of turbulent pipe flow

  2015cites this paper
• DYNAMIQUE COHERENTE DES MOUVEMENTS TURBULENTS A GRANDE ECHELLE

  2015cites this paper
• Minimal-energy perturbations rapidly approaching the edge state in Couette flow

  2015cites this paper
• On the self-sustained nature of large-scale motions in turbulent Couette flow

  2015cites this paper
• The role of periodic orbits and bubbles of chaos during the transition to turbulence

  2015cites this paper
• Exact coherent states and connections to turbulent dynamics in minimal channel flow

  2015cites this paper
• Transition sous-critique à la turbulence : étude de la croissance de poches turbulentes dans l’écoulement de Couette plan

  2015cites this paper
• Groebner Basis Methods for Stationary Solutions of a Low-Dimensional Model for a Shear Flow

  2014cites this paper
• Unstable flow structures in the Blasius boundary layer

  2014cites this paper
• Minimal perturbations approaching the edge of chaos in a Couette flow

  2014cites this paper
• Vortex-Wave Solutions of Navier-Stokes Equations in a Cylindrical Pipe

  2014cites this paper
• Groebner Basis Methods for Stationary Solutions of a Low-Dimensional Model for a Shear Flow

  2014cites this paper
• Relative periodic orbits in plane Poiseuille flow

  2014cites this paper
• ScienceDirect 68 th Conference of the Italian Thermal Machines Engineering Association , ATI 2013 Numerical study of the e ff ect of freestream turbulence on by-pass transition in a boundary layer

  2014influential citation
• Localization in a spanwise-extended model of plane Couette flow.

  2014cites this paper
• Global bifurcations to subcritical magnetorotational dynamo action in Keplerian shear flow

  2013cites this paper
• Studying edge geometry in transiently turbulent shear flows

  2013cites this paper
• Open Archive Toulouse Archive Ouverte (OATAO)

  2013cites this paper
• Pattern prediction by linear analysis of turbulent flow with drag reduction by wall oscillation

  2013cites this paper
• The emergence of localized vortex–wave interaction states in plane Couette flow

  2013cites this paper
• Drag reduction and the dynamics of turbulence in simple and complex fluidsa)

  2013cites this paper
• Nonlinear optimal perturbations in a Couette flow: bursting and transition

  2013cites this paper
• 6 Dynamics of Wall-Bounded Turbulence

  2012cites this paper
• Ten Chapters in Turbulence: Dynamics of Wall-Bounded Turbulence

  2012cites this paper
• Vortexons in axisymmetric Poiseuille pipe flows

  2012cites this paper
• Travelling waves in axisymmetric pipe flows

  2012cites this paper
• Linearised Navier-Stokes equations and near-wall streaks in turbulent flow subject to drag reduction by wall oscillations

  2012cites this paper
• Revealing the state space of turbulent pipe flow by symmetry reduction

  2012cites this paper
• Intermittent dynamics of turbulence hibernation in Newtonian and viscoelastic minimal channel flows

  2012cites this paper
• Vortex–Wave Interactions/Self‐Sustained Processes in High Prandtl Number Natural Convection in A Vertical Channel with Moving Sidewalls

  2012cites this paper
• Chaos control applied to coherent states in transitional flows

  2011cites this paper
• From travelling waves to mild chaos: a supercritical bifurcation cascade in pipe flow

  2011cites this paper
• The Significance of Simple Invariant Solutions in Turbulent Flows

  2011cites this paper
• Spatio-temporal dynamics in pipe flow

  2011cites this paper
• Minimal seeds for shear flow turbulence: using nonlinear transient growth to touch the edge of chaos

  2011cites this paper
• Lecture 8 : Edge Tracking – Walking the Tightrope Rich Kerswell

  2011cites this paper
• Takens–Bogdanov bifurcation of travelling-wave solutions in pipe flow

  2010cites this paper
• On the stability of plane Couette–Poiseuille flow with uniform crossflow

  2010cites this paper
• A new nonlinear vortex state in square-duct flow

  2010influential citation
• Slug genesis in cylindrical pipe flow

  2010influential citation
• États limites et bouffées turbulentes en conduite cylindrique

  2010cites this paper
• Instability, Transition, and Turbulence

  2010cites this paper
• Turbulent drag reduction and multistage transitions in viscoelastic minimal flow units

  2010cites this paper
• Localized edge states in plane Couette flow

  2009cites this paper
• An Efficient Petrov-Galerkin Chebyshev Spectral Method Coupled with the Taylor-series Expansion Method of Moments for Solving the Coherent Structures Effect on Particle Coagulation in the Exhaust Pipe

  2009cites this paper
• Observation of laminar–turbulent transition of a yield stress fluid in Hagen–Poiseuille flow

  2009cites this paper
• On the transient nature of localized pipe flow turbulence

  2009influential citation
• Coherent structures in fully-developed pipe turbulence

  2009cites this paper
• Introduction. Turbulence transition in pipe flow: 125th anniversary of the publication of Reynolds' paper

  2009cites this paper
• Relative periodic orbits in transitional pipe flow

  2008cites this paper
• Coherent Flow States in a Square Duct

  2008cites this paper
• Master-modes in 3D turbulent channel flow

  2008cites this paper
• Heteroclinic connections in plane Couette flow

  2008cites this paper
• Stable manifolds and the transition to turbulence in pipe flow

  2008cites this paper
• Highly symmetric travelling waves in pipe flow

  2008influential citation
• Subcritical transition in shear flows

  2008cites this paper
• Experimental and theoretical progress in pipe flow transition

  2008cites this paper
• Master-mode set of turbulent 3D channel flow

  2008cites this paper