Topological Analysis of Ensembles of Hydrodynamic Turbulent Flows - An Experimental Study
| hal.structure.identifier | Commissariat à l'énergie atomique et aux énergies alternatives [CEA] | |
| dc.contributor.author | NAULEAU, Florent | |
| hal.structure.identifier | Commissariat à l'énergie atomique et aux énergies alternatives [CEA] | |
| dc.contributor.author | VIVODTZEV, Fabien | |
| hal.structure.identifier | Commissariat à l'énergie atomique et aux énergies alternatives [CEA] | |
| dc.contributor.author | BRIDEL-BERTOMEU, Thibault | |
| hal.structure.identifier | Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM] | |
| hal.structure.identifier | Institut Polytechnique de Bordeaux [Bordeaux INP] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BEAUGENDRE, Heloise | |
| hal.structure.identifier | Centre National de la Recherche Scientifique [CNRS] | |
| dc.contributor.author | TIERNY, Julien | |
| dc.date.accessioned | 2024-04-04T02:36:46Z | |
| dc.date.available | 2024-04-04T02:36:46Z | |
| dc.date.conference | 2022-10-16 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190746 | |
| dc.description.abstractEn | 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 our study bring an experimental evidence of the suitability of TDA for representing and comparing turbulent flows, thereby providing to the fluid dynamics community confidence for its usage in future work. Also, our flow data and evaluation protocols provide to the TDA community an application-approved benchmark for the evaluation and design of further topological distances. | |
| dc.language.iso | en | |
| dc.publisher | IEEE | |
| dc.title.en | Topological Analysis of Ensembles of Hydrodynamic Turbulent Flows - An Experimental Study | |
| dc.type | Communication dans un congrès | |
| dc.identifier.doi | 10.1109/LDAV57265.2022.9966403 | |
| dc.subject.hal | Informatique [cs]/Synthèse d'image et réalité virtuelle [cs.GR] | |
| dc.subject.hal | Informatique [cs]/Base de données [cs.DB] | |
| dc.subject.hal | Informatique [cs]/Modélisation et simulation | |
| dc.subject.hal | Informatique [cs]/Traitement des images | |
| dc.identifier.arxiv | 2207.14080 | |
| dc.description.sponsorshipEurope | In-situ Topological Reduction of Scientific 3D Data - EXCELLENT SCIENCE - European Research Council | |
| bordeaux.page | 1-11 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.conference.title | LDAV 2022 - IEEE 12th Symposium on Large Data Analysis and Visualization | |
| bordeaux.country | US | |
| bordeaux.conference.city | Oklahoma City | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03920476 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.conference.end | 2022-10-21 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03920476v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.spage=1-11&rft.epage=1-11&rft.au=NAULEAU,%20Florent&VIVODTZEV,%20Fabien&BRIDEL-BERTOMEU,%20Thibault&BEAUGENDRE,%20Heloise&TIERNY,%20Julien&rft.genre=unknown |
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