Bruno Eckhardt
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View article: Interpreted machine learning in fluid dynamics: explaining relaminarisation events in wall-bounded shear flows
Interpreted machine learning in fluid dynamics: explaining relaminarisation events in wall-bounded shear flows Open
Machine Learning (ML) is becoming increasingly popular in fluid dynamics. Powerful ML algorithms such as neural networks or ensemble methods are notoriously difficult to interpret. Here, we introduce the novel Shapley additive explanations…
View article: Purely elastic linear instabilities in parallel shear flows with free-slip boundary conditions
Purely elastic linear instabilities in parallel shear flows with free-slip boundary conditions Open
We perform a linear stability analysis of viscoelastic plane Couette and plane Poiseuille flows with free-slip boundary conditions. The fluid is described by the Oldroyd-B constitutive model, and the flows are driven by a suitable body for…
View article: Purely elastic linear instabilities in parallel shear flows with\n free-slip boundary conditions
Purely elastic linear instabilities in parallel shear flows with\n free-slip boundary conditions Open
We perform a linear stability analysis of viscoelastic plane Couette and\nplane Poiseuille flows with free-slip boundary conditions. The fluid is\ndescribed by the Oldroyd-B constitutive model, and the flows are driven by a\nsuitable body …
View article: Chromosome Segregation in Bacillus subtilis Follows an Overall Pattern of Linear Movement and Is Highly Robust against Cell Cycle Perturbations
Chromosome Segregation in Bacillus subtilis Follows an Overall Pattern of Linear Movement and Is Highly Robust against Cell Cycle Perturbations Open
We have followed the segregation of origin regions on the Bacillus subtilis chromosome in the fastest practically achievable temporal manner, for a large fraction of the cell cycle. We show that segregation occurred in highly variable patt…
View article: Quadrupolar flows around spots in internal shear flows
Quadrupolar flows around spots in internal shear flows Open
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View article: Condensate formation and multiscale dynamics in two-dimensional active suspensions
Condensate formation and multiscale dynamics in two-dimensional active suspensions Open
The collective effects of microswimmers in active suspensions result in active turbulence, a spatiotemporally chaotic dynamics at mesoscale, which is characterized by the presence of vortices and jets at scales much larger than the charact…
View article: Using machine learning to predict extreme events in the Hénon map
Using machine learning to predict extreme events in the Hénon map Open
Machine Learning (ML) inspired algorithms provide a flexible set of tools for analyzing and forecasting chaotic dynamical systems. We analyze here the performance of one algorithm for the prediction of extreme events in the two-dimensional…
View article: Double ionization of a three-electron atom: Spin correlation effects
Double ionization of a three-electron atom: Spin correlation effects Open
We study the effects of spin degrees of freedom and wave function symmetries\non double ionization in three-electron systems. Each electron is assigned one\nspatial degree of freedom. The resulting three-dimensional Schr\\"odinger\nequatio…
View article: Dynamic feedback control through wall suction in shear flows
Dynamic feedback control through wall suction in shear flows Open
Flow control is of interest in many open and wall‐bounded shear flows in order to reduce drag or to avoid sudden large fluctuations that may lead to material failure. An established means of control is the application of suction through a …
View article: Transition to turbulence when the Tollmien–Schlichting and bypass routes coexist
Transition to turbulence when the Tollmien–Schlichting and bypass routes coexist Open
Plane Poiseuille flow, the pressure-driven flow between parallel plates, shows a route to turbulence connected with a linear instability to Tollmien–Schlichting (TS) waves, and another route, the bypass transition, that can be triggered wi…
View article: Dynamic feedback stabilisation of edge states in channel flow
Dynamic feedback stabilisation of edge states in channel flow Open
The transition to turbulence in many wall-bounded parallel shear flows is connected with the stable manifold of specific nonlinear invariant solutions of the Navier-Stokes equations, which separates the turbulent and laminar basins of attr…
View article: Phase Transition to Large Scale Coherent Structures in Two-Dimensional Active Matter Turbulence
Phase Transition to Large Scale Coherent Structures in Two-Dimensional Active Matter Turbulence Open
The collective motion of microswimmers in suspensions induce patterns of vortices on scales that are much larger than the characteristic size of a microswimmer, attaining a state called bacterial turbulence. Hydrodynamic turbulence acts on…
View article: Double ionization of three-electron atom: electronic correlation effects
Double ionization of three-electron atom: electronic correlation effects Open
We study the effects of spin degrees of freedom and wave function symmetries on double ionization in three-electron systems. Each electron is assigned one spatial degree of freedom, and the resulting three-dimensional Schrodinger equation …
View article: A set-oriented path following method for the approximation of parameter dependent attractors
A set-oriented path following method for the approximation of parameter dependent attractors Open
In this work we present a set-oriented path following method for the computation of relative global attractors of parameter-dependent dynamical systems. We start with an initial approximation of the relative global attractor for a fixed pa…
View article: Learning the space-time phase diagram of bacterial swarm expansion
Learning the space-time phase diagram of bacterial swarm expansion Open
Significance Most living systems, from individual cells to tissues and swarms, display collective self-organization on length scales that are much larger than those of the individual units that drive this organization. A fundamental challe…
View article: <i>Ab initio</i> study of time-dependent dynamics in strong-field triple ionization
<i>Ab initio</i> study of time-dependent dynamics in strong-field triple ionization Open
An ab initio analysis of strong-field three-electron ionization in a\nrestricted-dimensionality model reveals the dynamics of the ionization process\nand the dominant channels for double (DI) and triple ionization (TI).\nSimulations using …
View article: Restricted-space <i>ab initio</i> models for double ionization by strong laser pulses
Restricted-space <i>ab initio</i> models for double ionization by strong laser pulses Open
Double electron ionisation process occurs when an intense laser pulse\ninteracts with atoms or molecules. Exact {\\it ab initio} numerical simulation\nof such a situation is extremely computer resources demanding, thus often one\nis forced…
View article: Phase transition to large scale coherent structures in 2d active matter turbulence
Phase transition to large scale coherent structures in 2d active matter turbulence Open
The collective motion of microswimmers in suspensions induce patterns of vortices on scales that are much larger than the characteristic size of a microswimmer, attaining a state called bacterial turbulence. Hydrodynamic turbulence acts on…
View article: Extended localized structures and the onset of turbulence in channel flow
Extended localized structures and the onset of turbulence in channel flow Open
In this letter, it is shown numerically that in plane Poiseuille flow and\nbefore the threshold of equilibrium turbulence defined by the\ndirected-percolation universality class, a sparse turbulent state in form of\nlocalized turbulent ban…
View article: Bacteria exploit a polymorphic instability of the flagellar filament to escape from traps
Bacteria exploit a polymorphic instability of the flagellar filament to escape from traps Open
Significance It has long been established that flagella provide an efficient means of movement for bacteria in planktonic environments (free swimming) or across surfaces (swarming). However, rather little is known about bacterial motility …
View article: Transition to turbulence when the Tollmien-Schlichting and bypass routes coexist
Transition to turbulence when the Tollmien-Schlichting and bypass routes coexist Open
Plane Poiseuille flow, the pressure driven flow between parallel plates, shows a route to turbulence connected with a linear instability to Tollmien-Schlichting (TS) waves, and another one, the bypass transition, that is triggered with fin…
View article: Heat transport in Rayleigh–Bénard convection and angular momentum transport in Taylor–Couette flow: a comparative study
Heat transport in Rayleigh–Bénard convection and angular momentum transport in Taylor–Couette flow: a comparative study Open
Rayleigh–Bénard convection and Taylor–Couette flow are two canonical flows that have many properties in common. We here compare the two flows in detail for parameter values where the Nusselt numbers, i.e. the thermal transport and the angu…
View article: Poster: Exact coherent states as building blocks for the turbulent cascade
Poster: Exact coherent states as building blocks for the turbulent cascade Open
Turbulence at high Reynolds numbers covers many scales.Energy is extracted from the mean flow at large scales and transported along the turbulent cascade to smaller scales where dissipation takes over.The images below show a set of exact c…
View article: Streamwise decay of localized states in channel flow
Streamwise decay of localized states in channel flow Open
Channel flow, the pressure driven flow between parallel plates, has exact coherent structures that show various degrees of localization. For states which are localized in streamwise direction but extended in spanwise direction, we show tha…
View article: Transition in the asymptotic suction boundary layer over a heated plate
Transition in the asymptotic suction boundary layer over a heated plate Open
The asymptotic suction boundary layer (ASBL) is a parallel shear flow that becomes turbulent in a bypass transition in parameter regions where the laminar profile is stable. We here add a temperature gradient perpendicular to the plate and…
View article: Bypass transition and spot nucleation in boundary layers
Bypass transition and spot nucleation in boundary layers Open
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. Combining results on the receptivity to free-stream turbulence…
View article: Edge states as mediators of bypass transition in boundary-layer flows
Edge states as mediators of bypass transition in boundary-layer flows Open
The concept of edge states is investigated in the asymptotic suction boundary layer in relation to the receptivity process to noisy perturbations and the nucleation of turbulent spots. Edge tracking is first performed numerically, without …