Dresden 2017 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 33: Fluid Dynamics and Turbulence

DY 33.6: Talk

Wednesday, March 22, 2017, 11:30–11:45, ZEU 160

An Extended Transfer Operator Approach to Identify Separatrices in Open Flows — •Benedict Johannes Lünsmann and Holger Kantz — Max-Planck-Institut für Physik komplexer Systeme, Dresden, Deutschland

Eddies, mesoscale masses of coherent fluid volume, are considered to have a substantial impact on the transport of heat, nutrition and oxygen in the ocean. Yet, due to their Lagrangian nature detecting these structures is highly nontrivial. In this respect transfer operator approaches have proven to provide useful tools: Approximating a possibly time-dependent flow as a discrete Markov process in space and time, information about coherent structures are contained in the operator's eigenvectors which is usually extracted by employing clustering methods. Here, we propose an extended approach that refrains from machine learning techniques such as clustering and uses physical arguments instead. We show, that this technique is suited to reconstruct separatrices in stationary flows and can be used to probe regions for coherent structures individually.