Triggering turbulence efficiently in plane Couette flow

DOI10.1017/jfm.2012.417zbMath1275.76091OpenAlexW1981804039MaRDI QIDQ2863483

S. M. E. Rabin, C. P. Caulfield, R. R. Kerswell

Publication date: 21 November 2013

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

Full work available at URL: https://doi.org/10.1017/jfm.2012.417

zbMATH Keywords

variational methodstransition to turbulencenonlinear instability

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Parallel shear flows in hydrodynamic stability (76E05) Transition to turbulence (76F06)

Related Items (28)

Restricted optimal paths to transition in a plane Couette flow ⋮ Robust preconditioned one-shot methods and direct-adjoint-looping for optimizing Reynolds-averaged turbulent flows ⋮ An optimization method for chaotic turbulent flow ⋮ Fully localised nonlinear energy growth optimals in pipe flow ⋮ Minimal energy thresholds for triggering in the Rijke tube: the effect of the time delay ⋮ Linear and nonlinear optimal growth mechanisms for generating turbulent bands ⋮ Optimizing the control of transition to turbulence using a Bayesian method ⋮ Maximum palinstrophy growth in 2D incompressible flows ⋮ Minimal energy thresholds for sustained turbulent bands in channel flow ⋮ Non-modal instability of annular Poiseuille-Couette flow ⋮ Optimal mixing in three-dimensional plane Poiseuille flow at high Péclet number ⋮ Direct numerical simulation of homogeneous shear turbulence subject to a shear periodic boundary with the lattice Boltzmann method ⋮ Instability of the optimal edge trajectory in the Blasius boundary layer ⋮ Nonlinear evolution of linear optimal perturbations of strongly stratified shear layers ⋮ A variational framework for computing nonlinear optimal disturbances in compressible flows ⋮ Direct numerical simulation of turbulent pipe flow using the lattice Boltzmann method ⋮ On the secondary instabilities of transient growth in Couette flow ⋮ Optimal bursts in turbulent channel flow ⋮ Designing a minimal baffle to destabilise turbulence in pipe flows ⋮ Instabilities and transient growth of the stratified Taylor–Couette flow in a Rayleigh-unstable regime ⋮ Structured input–output analysis of transitional wall-bounded flows ⋮ Transient perturbation growth in time-dependent mixing layers ⋮ TRANSITION TO TURBULENCE FROM PLANE COUETTE FLOW ⋮ Flow modulation by a few fixed spherical particles in a turbulent channel flow ⋮ Exact coherent structures in stably stratified plane Couette flow ⋮ Nonlinearly most dangerous disturbance for high-speed boundary-layer transition ⋮ Early evolution of optimal perturbations in a viscosity-stratified channel ⋮ Nonlinear control of unsteady finite-amplitude perturbations in the Blasius boundary-layer flow

Cites Work

• Stability of plane-parallel Couette flow
• The minimal seed of turbulent transition in the boundary layer
• Energy growth in viscous channel flows
• On stability of streamwise streaks and transition thresholds in plane channel flows
• Energy growth of three-dimensional disturbances in plane Poiseuille flow

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