113 citations · 784 across the 39 of their papers we have counts for
16 papers · 1 filter
Laminar gaps mirror turbulent puffs in pipe flow
Shai Kapon, Tobias Grafke, Anna Frishman
Pipe flow at intermediate Reynolds numbers, between the laminar and fully turbulent regimes, takes the form of several spatially and temporally intermittent phases in which turbule…
Self-Replication of Turbulent Puffs: On the edge between chaotic saddles
Anton Svirsky, Tobias Grafke, Anna Frishman
Pipe flow is a canonical example where turbulence first appears intermittently in space and time, taking the form of localized structures termed puffs. Turbulence spreads via puff…
Mechanism for turbulence proliferation in subcritical flows
Anna Frishman, Tobias Grafke
The subcritical transition to turbulence, as occurs in pipe flow, is believed to generically be a phase transition in the directed percolation universality class. At its heart is a…
Dynamical landscape of transitional pipe flow
Anna Frishman, Tobias Grafke
The transition to turbulence in pipes is characterized by a coexistence of laminar and turbulent states. At the lower end of the transition, localized turbulent pulses, called puff…
Extreme events and instantons in Lagrangian passive scalar turbulence models
Mnerh Alqahtani, Leonardo Grigorio, Tobias Grafke
The advection and mixing of a scalar quantity by fluid flow is an important problem in engineering and natural sciences. If the fluid is turbulent, the statistics of the passive sc…
Spontaneous Symmetry Breaking for Extreme Vorticity and Strain in the 3D Navier-Stokes Equations
Timo Schorlepp, Tobias Grafke, Sandra May +1
We investigate the spatio-temporal structure of the most likely configurations realising extremely high vorticity or strain in the stochastically forced 3D incompressible Navier-St…