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- Thomas Niedermayer, Bruno Eckhardt, Peter Lenz
- Chaos (Woodbury, N.Y.)
- 2008

Synchronization and wave formation in one-dimensional ciliary arrays are studied analytically and numerically. We develop a simple model for ciliary motion that is complex enough to describe well the behavior of beating cilia but simple enough to study collective effects analytically. Beating cilia are described as phase oscillators moving on circular… (More)

- Henk A Dijkstra, Fred W Wubs, Andrew K Cliffe, Eusebius Doedel, Ioana F Dragomirescu, Bruno Eckhardt +9 others
- 2013

We provide an overview of current techniques and typical applications of numerical bifurcation analysis in fluid dynamical problems. Many of these problems are characterized by high-dimensional dynamical systems which undergo transitions as parameters are changed. The computation of the critical conditions associated with these transitions, popularly… (More)

We analyse a low-dimensional model for turbulent shear flows. The model is based on Fourier modes and describes sinusoidal shear flow, in which the fluid between two free-slip walls experiences a sinusoidal body force. The model contains a total of nine modes, including modes describing the basic mean velocity profile and its modification, downstream… (More)

We consider the dynamics of a low-dimensional model for turbulent shear flows. The model is based on Fourier modes and describes sinusoidal shear flow, in which fluid between two free-slip walls experiences a sinusoidal body force. The model contains nine modes, most of which have a direct hydrodynamical interpretation. We analyze the stationary states and… (More)

On its opening day the London Millennium footbridge experienced unexpected large amplitude wobbling subsequent to the migration of pedestrians onto the bridge. Modeling the stepping of the pedestrians on the bridge as phase oscillators, we obtain a model for the combined dynamics of people and the bridge that is analytically tractable. It provides… (More)

- Guido Boffetta, Jahanshah Davoudi, Bruno Eckhardt, Jörg Schumacher
- Physical review letters
- 2004

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 the Lyapunov spectrum of the flow is numerically shown to be in qualitative agreement with the predictions for the white-in-time compressible Kraichnan flow, but to deviate… (More)

- Jens C Pfeifer, Tobias Bischoff, Georg Ehlers, Bruno Eckhardt
- Physical review. E, Statistical, nonlinear, and…
- 2015

Motivated by experiments on sheared suspensions that show a transition between ordered and disordered phases, we here study the long-time behavior of a sheared and overdamped two-dimensional system of particles interacting by repulsive forces. As a function of interaction strength and shear rate we find transitions between phases with vanishing and large… (More)

- Taras Khapko, Yohann Duguet, Tobias Kreilos, Philipp Schlatter, Bruno Eckhardt, Dan S Henningson
- The European physical journal. E, Soft matter
- 2014

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 dynamics restricted to the laminar-turbulent separatrix is investigated in a spanwise-extended domain that allows for robust localisation of all edge states. We work at fixed Reynolds… (More)

- Tobias Kreilos, Gregor Veble, Tobias M Schneider, Bruno Eckhardt, J M Burgerscentrum
- 2013

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 period of several thousand advective time units is found as a local dynamical attractor embedded in the stability boundary between laminar and turbulent dynamics. Its dynamics… (More)