Bruno Eckhardt
Published 2018-01-28Version 1
Pipe flow and many other shear flows show a transition to turbulence at flow rates for which the laminar profile is stable against infinitesimal perturbations. In this brief review the recent progress in the understanding of this transition will be summarized, with a focus on the linear and nonlinear states that drive the transitions, the extended and localized patterns that appear, and on the spatio-temporal dynamics and their relation to directed percolation.
Upper edge of chaos and the energetics of transition in pipe flow
The critical point of the transition to turbulence in pipe flow
Dynamical-systems approach to localised turbulence in pipe flow
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