4 papers
A model for the collapse of the edge when two transitions routes compete
Miguel Beneitez, Yohann Duguet, Dan S. Henningson
The transition to turbulence in many shear flows proceeds along two competing routes, one linked with finite-amplitude disturbances and the other one originating from a linear inst…
The edge as a Lagrangian Coherent Structure in a high-dimensional state space
Miguel Beneitez, Yohann Duguet, Philipp Schlatter +1
Dissipative dynamical systems characterised by two basins of attraction are found in many physical systems, notably in hydrodynamics where laminar and turbulent regimes can coexist…
Optimal perturbations and transition energy thresholds in boundary layer shear flows
Chris Vavaliaris, Miguel Beneitez, Dan S. Henningson
Subcritical transition to turbulence in spatially developing boundary layer flows can be triggered efficiently by finite amplitude perturbations. In this work, we employ adjoint-ba…
Edge tracking in spatially developing boundary layer flows
Miguel Beneitez, Yohann Duguet, Philipp Schlatter +1
Recent progress in understanding subcritical transition to turbulence is based on the concept of the edge, the manifold separating the basins of attraction of the laminar and the t…