Can I read Topological Analysis of Ensembles of Hydrodynamic Turbulent Flows -- An Experimental Study on EtoBox?

Topological Analysis of Ensembles of Hydrodynamic Turbulent Flows -- An Experimental Study by Nauleau, Florent; Vivodtzev, Fabien; Bridel-Bertomeu, Thibault; Beaugendre, Heloise; Tierny, Julien is a scholarly article available to read on EtoBox.

What is Topological Analysis of Ensembles of Hydrodynamic Turbulent Flows -- An Experimental Study about?

This application paper presents a comprehensive experimental evaluation of the suitability of Topological Data Analysis (TDA) for the quantitative comparison of turbulent flows. Specifically, our study documents the usage of the persistence diagram of the maxima of flow enstrophy (an established vorticity indicator), for the topological representation of 180 ensemble members, generated by a coarse sampling of the parameter space of five numerical solvers. We document five main hypotheses reported by domain experts, describing their expectations regarding the variability of the flows generated by the distinct solver configurations. We contribute three evaluation protocols to assess the validation of the above hypotheses by two comparison measures: (i) a standard distance used in scientific imaging (the L2 norm) and (ii) an established topological distance between persistence diagrams (the L2-Wasserstein metric). Extensive experiments on the input ensemble demonstrate the superiority of the topological distance (ii) to report as close to each other flows which are expected to be similar by domain experts, due to the configuration of their vortices. Overall, the insights reported by o

Author

Nauleau, Florent; Vivodtzev, Fabien; Bridel-Bertomeu, Thibault; Beaugendre, Heloise; Tierny, Julien

Published

2022

Language

EN