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20062026
most citedTransition in pipe flow: the saddle structure on the boundary of turbulence

155 citations · 1.7k across the 71 of their papers we have counts for

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Showing 2007Show all

5 papers · 1 filter

physics.flu-dyn2007★ 14 cited

Turbulent dynamics of pipe flow captured in a reduced model: puff relaminarisation and localised `edge' states

Ashley P. Willis, Rich R. Kerswell

Fully 3-dimensional computations of flow through a long pipe demand a huge number of degrees of freedom, making it very expensive to explore parameter space and difficult to isolat…

physics.flu-dyn2007★ 155 cited

Transition in pipe flow: the saddle structure on the boundary of turbulence

Yohann Duguet, Ashley P. Willis, Rich R. Kerswell

The laminar-turbulent boundary S is the set separating initial conditions which relaminarise uneventfully from those which become turbulent. Phase space trajectories on this hypers…

physics.flu-dyn2007★ 114 cited

Reply to Comment on 'Critical behaviour in the relaminarization of localized turbulence in pipe flow'

Ashley P. Willis, Rich R. Kerswell

This is a Reply to Comment arXiv:0707.2642 by Hof et al. on Letter arXiv:physics/0608292 which was subsequently published in Phys Rev Lett, 98, 014501 (2007). In our letter it was…

physics.flu-dyn2007★ 3 cited

Coherent structures in localised and global pipe turbulence

A. P. Willis, R. R. Kerswell

The recent discovery of unstable travelling waves (TWs) in pipe flow has been hailed as a significant breakthrough with the hope that they populate the turbulent attractor. We conf…

physics.flu-dyn2007★ 128 cited

Asymmetric, helical and mirror-symmetric travelling waves in pipe flow

Chris Pringle, Rich Kerswell

New families of three-dimensional nonlinear travelling waves are discovered in pipe flow. In contrast to known waves (Faisst & Eckhardt Phys. Rev. Lett. 91, 224502 (2003), Wedin &…