Recurrent flow analysis in spatiotemporally chaotic 2-dimensional Kolmogorov flow

DOI10.1063/1.4917279zbMath1326.76044arXiv1406.1820OpenAlexW3101637008MaRDI QIDQ3456918

Dan Lucas, R. R. Kerswell

Publication date: 10 December 2015

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1820

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Dynamical systems approach to turbulence (76F20)

Related Items (21)

Bifurcation structure of two-dimensional viscous zonal flows on a rotating sphere ⋮ Variational methods for finding periodic orbits in the incompressible Navier–Stokes equations ⋮ Asymptotic analysis of the attractors in two-dimensional Kolmogorov flow ⋮ Stability of the Kolmogorov flow and its modifications ⋮ Exact coherent structures in fully developed two-dimensional turbulence ⋮ Inferring symbolic dynamics of chaotic flows from persistence ⋮ Heterogeneity of the attractor of the Lorenz '96 model: Lyapunov analysis, unstable periodic orbits, and shadowing properties ⋮ Qualitative analysis of dynamics in Kolmogorov's problem on a flow of a viscous incompressible fluid ⋮ Sustaining processes from recurrent flows in body-forced turbulence ⋮ An adjoint-based approach for finding invariant solutions of Navier–Stokes equations ⋮ Superfast amplification and superfast nonlinear saturation of perturbations as a mechanism of turbulence ⋮ Short term unpredictability of high Reynolds number turbulence --- rough dependence on initial data ⋮ On the convergence of the normal form transformation in discrete Rossby and drift wave turbulence ⋮ Searching turbulence for periodic orbits with dynamic mode decomposition ⋮ Exact coherent structures and shadowing in turbulent Taylor–Couette flow ⋮ Transition to chaos in a reduced-order model of a shear layer ⋮ Exact coherent structures in stably stratified plane Couette flow ⋮ Bifurcations in a quasi-two-dimensional Kolmogorov-like flow ⋮ Layer formation in horizontally forced stratified turbulence: connecting exact coherent structures to linear instabilities ⋮ Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence ⋮ Stably stratified exact coherent structures in shear flow: the effect of Prandtl number

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