132 citations · 402 across the 10 of their papers we have counts for
11 papers
Invariant Solution underlying Oblique Stripe Patterns in Plane Couette Flow
Florian Reetz, Tobias Kreilos, Tobias M. Schneider
When subcritical shear flows transition to turbulence, laminar and turbulent flow often coexists in space, giving rise to turbulent-laminar patterns. Most prominent are regular str…
Localized travelling waves in the asymptotic suction boundary layer
Tobias Kreilos, John F. Gibson, Tobias M. Schneider
We present two spanwise-localized travelling wave solutions in the asymptotic suction boundary layer, obtained by continuation of solutions of plane Couette flow. One of the soluti…
Bypass transition and spot nucleation in boundary layers
Tobias Kreilos, Taras Khapko, Philipp Schlatter +3
The spatio-temporal aspects of the transition to turbulence are considered in the case of a boundary layer flow developing above a flat plate exposed to free-stream turbulence. Com…
Turbulence transition in the asymptotic suction boundary layer
Tobias Kreilos, Taras Khapko, Tobias M Schneider +5
We study the transition to turbulence in the asymptotic suction boundary layer (ASBL) by direct numerical simulation. Tracking the motion of trajectories intermediate between lamin…
Turbulent-laminar patterns in plane Poiseuille flow
Laurette S. Tuckerman, Tobias Kreilos, Hecke Schrobsdorff +2
Turbulent-laminar banded patterns in plane Poiseuille flow are studied via direct numerical simulations in a tilted and translating computational domain using a parallel version of…
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…
Long wavelength instability of coherent structures in plane Couette flow
Konstantin Melnikov, Tobias Kreilos, Bruno Eckhardt
We study the stability of coherent structures in plane Couette flow against long-wavelength perturbations in wide domains that cover several pairs of coherent structures. For one a…
Symmetry related dynamics in parallel shear flows
Tobias Kreilos, Stefan Zammert, Bruno Eckhardt
Parallel shear flows come with continuous symmetries of translation in the downstream and spanwise direction. As a consequence, flow states that differ in their spanwise or downstr…
Complexity of localised coherent structures in a boundary-layer flow
Taras Khapko, Yohann Duguet, Tobias Kreilos +3
We study numerically transitional coherent structures in a boundary-layer flow with homogeneous suction at the wall (the so-called asymptotic suction boundary layer ASBL). The dyna…
Edge states for the turbulence transition in the asymptotic suction boundary layer
Tobias Kreilos, Gregor Veble, Tobias M. Schneider +1
We demonstrate the existence of an exact invariant solution to the Navier-Stokes equations for the asymptotic suction boundary layer. The identified periodic orbit with a very long…
Periodic orbits near onset of chaos in plane Couette flow
Tobias Kreilos, Bruno Eckhardt
We track the secondary bifurcations of coherent states in plane Couette flow and show that they undergo an incomplete periodic doubling cascade that ends with a crisis bifurcation.…