44 citations · 183 across the 14 of their papers we have counts for
15 papers
A Lagrangian analysis of coherent structures in 2D annular Rayleigh-Bénard convection
Luis Álamo, Jezabel Curbelo, Kathrin Padberg-Gehle
Convective instabilities are studied from a Lagrangian perspective in order to gain new insights into how the resulting global, long-lived coherent flow structures organize themsel…
Lagrangian studies of coherent sets and heat transport in constant heat flux-driven turbulent Rayleigh-Bénard convection
Philipp P. Vieweg, Anna Klünker, Jörg Schumacher +1
We explore the mechanisms of heat transfer in a turbulent constant heat flux-driven Rayleigh-Bénard convection flow, which exhibits a hierarchy of flow structures from granules to…
Open-flow mixing and transfer operators
Anna Klünker, Kathrin Padberg-Gehle, Jean-Luc Thiffeault
We study finite-time mixing in time-periodic open flow systems. We describe the transport of densities in terms of a transfer operator, which is represented by the transition matri…
Evolutionary clustering of Lagrangian trajectories in turbulent Rayleigh-Bénard convection flows
Christiane Schneide, Philipp P. Vieweg, Jörg Schumacher +1
We explore the transport mechanisms of heat in two- and three-dimensional turbulent convection flows by means of the long-term evolution of Lagrangian coherent sets. They are obtai…
Lagrangian heat transport in turbulent three-dimensional convection
Philipp P. Vieweg, Christiane Schneide, Kathrin Padberg-Gehle +1
Spatial regions that do not mix effectively with their surroundings and thus contribute less to the heat transport in fully turbulent three-dimensional Rayleigh-Bénard flows are id…
Predicting bifurcations of almost-invariant patterns: a set-oriented approach
Moussa Ndour, Kathrin Padberg-Gehle
The understanding and prediction of sudden changes in flow patterns is of paramount importance in the analysis of geophysical flows as these rare events relate to critical phenomen…
Lagrangian coherent sets in turbulent Rayleigh-Bénard convection
Christiane Schneide, Martin Stahn, Ambrish Pandey +4
Coherent circulation rolls and their relevance for the turbulent heat transfer in a two-dimensional Rayleigh--Bénard convection model are analyzed. The flow is in a closed cell of…
Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps
Yuzuru Sato, Kathrin Padberg-Gehle
Noise-induced statistical periodicity in a class of one-dimensional maps is studied. We show the existence of statistical periodicity in a modified Lasota-Mackey map and describe t…
Network Measures of Mixing
Ralf Banisch, Péter Koltai, Kathrin Padberg-Gehle
Transport and mixing processes in fluid flows can be studied directly from Lagrangian trajectory data, such as obtained from particle tracking experiments. Recent work in this cont…
Probing turbulent superstructures in Rayleigh-Bénard convection by Lagrangian trajectory clusters
Christiane Schneide, Ambrish Pandey, Kathrin Padberg-Gehle +1
We analyze large-scale patterns in three-dimensional turbulent convection in a horizontally extended square convection cell by Lagrangian particle trajectories calculated in direct…
Set-oriented numerical computation of rotation sets
Katja Polotzek, Kathrin Padberg-Gehle, Tobias Jäger
We establish a set-oriented algorithm for the numerical approximation of the rotation set of homeomorphisms of the two-torus homotopic to the identity. A theoretical background is…
Role of critical points of the skin friction field in formation of plumes in thermal convection
Vinodh Bandaru, Anastasiya Kolchinskaya, Kathrin Padberg-Gehle +1
The dynamics in the thin boundary layers of temperature and velocity is the key to a deeper understanding of turbulent transport of heat and momentum in thermal convection. The vel…
A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data
Gary Froyland, Kathrin Padberg-Gehle
We present a numerical method to identify regions of phase space that are approximately retained in a mobile compact neighbourhood over a finite time duration. Our approach is base…
Nonautonomous control of stable and unstable manifolds in two-dimensional flows
Sanjeeva Balasuriya, Kathrin Padberg-Gehle
We outline a method for controlling the location of stable and unstable manifolds in the following sense. From a known location of the stable and unstable manifolds in a steady two…
BioLogistics and the Struggle for Efficiency: Concepts and Perspectives
Dirk Helbing, Andreas Deutsch, Stefan Diez +8
The growth of world population, limitation of resources, economic problems and environmental issues force engineers to develop increasingly efficient solutions for logistic systems…