417 citations · 3.5k across the 97 of their papers we have counts for
21 papers · 1 filter
Increasing lifetimes and the growing saddles of shear flow turbulence
Tobias Kreilos, Bruno Eckhardt, Tobias M. Schneider
In linearly stable shear flows turbulence spontaneously decays with a characteristic lifetime that varies with Reynolds number. The lifetime sharply increases with Reynolds number…
Basin boundary, edge of chaos, and edge state in a two-dimensional model
J. Vollmer, T. M. Schneider, B. Eckhardt
In shear flows like pipe flow and plane Couette flow there is an extended range of parameters where linearly stable laminar flow coexists with a transient turbulent dynamics. When…
Turbulence transition and the edge of chaos in pipe flow
Tobias M Schneider, Bruno Eckhardt, James A Yorke
The linear stability of pipe flow implies that only perturbations of sufficient strength will trigger the transition to turbulence. In order to determine this threshold in perturba…
Links between dissipation, intermittency, and helicity in the GOY model revisited
John C. Bowman, Charles R. Doering, Bruno Eckhardt +3
High-resolution simulations within the GOY shell model are used to study various scaling relations for turbulence. A power-law relation between the second-order intermittency corre…
Lagrangian tracers on a surface flow: the role of time correlations
Guido Boffetta, Jahanshah Davoudi, Bruno Eckhardt +1
Finite time correlations of the velocity in a surface flow are found to be important for the formation of clusters of Lagrangian tracers. The degree of clustering characterized by…
Lifetimes of noisy repellors
H. Faisst, B. Eckhardt
We study the effects of additive noise on the lifetimes of chaotic repellors. Using first order perturbation theory we argue that noise will increase the lifetime if the escape hol…