Exact coherent structures in fully developed two-dimensional turbulence

DOI10.1017/jfm.2023.584zbMath1522.76039arXiv2209.10511OpenAlexW4386292550MaRDI QIDQ6137650

Publication date: 4 September 2023

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.10511

zbMATH Keywords

pseudospectral method incompressible Navier-Stokes equations vortex dynamics pattern formation Euler equations high Reynolds number limit temporal Runge-Kutta-Fehlberg scheme

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Spectral methods applied to problems in fluid mechanics (76M22) Turbulence (76F99)

Cites Work

Unnamed Item
Unnamed Item
Vortices of large scale appearing in the 2D stationary Navier-Stokes equations at large Reynolds numbers
Exact solutions to Euler equation and Navier-Stokes equation
A variational problem arising in the two-dimensional Navier-Stokes equations with vanishing viscosity
Unimodal patterns appearing in the two-dimensional Navier-Stokes flows under general forcing at large Reynolds numbers
Exact results on stationary turbulence in 2D: Consequences of vorticity conservation
Exact coherent structures in channel flow
On the self-sustained nature of large-scale motions in turbulent Couette flow
Self-sustained states at Kolmogorov microscale
The Significance of Simple Invariant Solutions in Turbulent Flows
Two-Dimensional Turbulence
Two-Dimensional Turbulence on A Bounded Domain
Unimodal patterns appearing in the Kolmogorov flows at large Reynolds numbers
On steady laminar flow with closed streamlines at large Reynolds number
Exact coherent structures and shadowing in turbulent Taylor–Couette flow
Recurrent motions within plane Couette turbulence
Recurrent flow analysis in spatiotemporally chaotic 2-dimensional Kolmogorov flow
A class of exact multipolar vortices
Point vortices with a rational necklace: New exact stationary solutions of the two-dimensional Euler equation
Chaotic mixing in thermocapillary-driven microdroplets
Revisiting freely decaying two-dimensional turbulence at millennial resolution
The construction of exact multipolar equilibria of the two-dimensional Euler equations
The stability and energetics of corotating uniform vortices
A family of steady, translating vortex pairs with distributed vorticity
The touching pair of equal and opposite uniform vortices
Statistical dynamics of two-dimensional flow
Chaotic advection in three-dimensional unsteady incompressible laminar flow
Exact coherent states with hairpin-like vortex structure in channel flow
Small scale exact coherent structures at large Reynolds numbers in plane Couette flow
Exact coherent states of attached eddies in channel flow
Exact solutions for rotating vortex arrays with finite-area cores
Bifurcations in a quasi-two-dimensional Kolmogorov-like flow
Edge states as mediators of bypass transition in boundary-layer flows
Invariant solutions of minimal large-scale structures in turbulent channel flow for up to 1000
Self-similar invariant solution in the near-wall region of a turbulent boundary layer at asymptotically high Reynolds numbers
Shear stress-driven flow: the state space of near-wall turbulence as
Visualizing the geometry of state space in plane Couette flow
A two-dimensional vortex condensate at high Reynolds number
Invariant recurrent solutions embedded in a turbulent two-dimensional Kolmogorov flow
Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence
Inertial-range transfer in two- and three-dimensional turbulence
On strongly nonlinear vortex/wave interactions in boundary-layer transition
Exact Coherent States and the Nonlinear Dynamics of Wall-Bounded Turbulent Flows

This page was built for publication: Exact coherent structures in fully developed two-dimensional turbulence