Understanding, quantifying and controlling transport and mixing processes are central in the study of fluid flows. Many different Lagrangian approaches have been proposed for detecting
organizing flow structures that determine material transport, including recent data-based methods that aim to identify such coherent objects directly from tracer trajectories.
This paper presents a data-driven description and quantification of transport and mixing of scalar quantities by combining a diffusion map approach for the extraction of coherent flow structures with aspects of deterministic particle methods.
Klünker, Anna; Kameke, Alexandra von; Padberg-Gehle, Kathrin (2025). Lagrangian description and quantification of scalar mixing in fluid flows from particle tracks.