Surfing the edge: using feedback control to find nonlinear solutions

DOI10.1017/jfm.2017.656zbMath1421.76105arXiv1703.10026OpenAlexW2761971613WikidataQ58160593 ScholiaQ58160593MaRDI QIDQ5231567

Ashley P. Willis, Yohann Duguet, O. E. Omel'chenko, Matthias Wolfrum

Publication date: 27 August 2019

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

Full work available at URL: https://arxiv.org/abs/1703.10026

zbMATH Keywords

nonlinear dynamical systemstransition to turbulenceinstability control

Mathematics Subject Classification ID

Feedback control (93B52) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Control of turbulent flows (76F70) Transition to turbulence (76F06)

Related Items (4)

Capturing the edge of chaos as a spectral submanifold in pipe flows ⋮ Oblique stripe solutions of channel flow ⋮ Linear feedback control of invariant solutions in channel flow ⋮ Nonlinear exact coherent structures in pipe flow and their instabilities

Uses Software

• channelflow
• Openpipeflow

Cites Work

• The Significance of Simple Invariant Solutions in Turbulent Flows
• An adjoint-based approach for finding invariant solutions of Navier–Stokes equations
• Recurrent motions within plane Couette turbulence
• Regular and irregular patterns of self-localized excitation in arrays of coupled phase oscillators
• Exact coherent structures in stably stratified plane Couette flow
• Edge states as mediators of bypass transition in boundary-layer flows
• Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
• Visualizing the geometry of state space in plane Couette flow
• Transition in pipe flow: the saddle structure on the boundary of turbulence
• Relative periodic orbits in transitional pipe flow
• A new method for isolating turbulent states in transitional stratified plane Couette flow
• Revealing the state space of turbulent pipe flow by symmetry reduction
• Invariant recurrent solutions embedded in a turbulent two-dimensional Kolmogorov flow
• Recurrent flows: the clockwork behind turbulence
• Highly symmetric travelling waves in pipe flow
• Recent progress in understanding the transition to turbulence in a pipe
• Recurrence of travelling waves in transitional pipe flow
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