30.09.2025

New preprint available online!

PDE solution compared to the evolved trajectory-based density vectors for the three different choices of grid spacing and two choices of the diffusion constant.

Dr. Anna Klünker and Prof. Kathrin Padberg-Gehle (Leuphana Universität Lüneburg) together with Prof. Alexandra von Kameke (Hamburg University of Applied Sciences) have shared their latest results on a Lagrangian description and quantification of scalar mixing in fluid flows from particle tracks.

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.

https://arxiv.org/pdf/2509.25030.pdf