A spotlike edge state in plane Poiseuille flow

Abstract

We study the laminar turbulent boundary in plane Poiseuille flow at $Re=1400$ and $2180$ using the technique of edge tracking. For large computational domains the attracting state in the laminar-turbulent boundary is localized in spanwise and streamwise direction and chaotic.

References in corpus (6)

• Turbulence transition and the edge of chaos in pipe flow
• Streamwise-localized solutions at the onset of turbulence in pipe flow
• Periodic orbits near onset of chaos in plane Couette flow
• Laminar-turbulent boundary in plane Couette flow
• Fractal Stability Border in Plane Couette Flow
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Cited by in corpus (4)

• Streamwise and doubly-localised periodic orbits in plane Poiseuille flow
• Complexity of the laminar-turbulent boundary in pipe flow
• Upper edge of chaos and the energetics of transition in pipe flow
• Crises and chaotic scattering in hydrodynamic pilot-wave experiments