An a posteriori data-driven method for phase-averaged optical measurements

Fuente: arXiv
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Auteurs principaux: Amico, Enrico, Montagner, Sara, Serpieri, Jacopo, Cafiero, Gioacchino
Format: Preprint
Publié: 2025
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author Amico, Enrico
Montagner, Sara
Serpieri, Jacopo
Cafiero, Gioacchino
author_facet Amico, Enrico
Montagner, Sara
Serpieri, Jacopo
Cafiero, Gioacchino
contents Phase-averaging is a fundamental approach for investigating periodic and non-stationary phenomena. In fluid dynamics, these can be generated by rotating blades such as propellers/turbines or by pulsed jets. Traditional phase-averaging approaches often rely on synchronized data acquisition systems, which might require high-speed cameras, light sources, and precise delay generators and encoders, making them expensive and sometimes unfeasible. This work proposes an a posteriori data-driven approach that reconstructs phase information from randomly acquired uncorrelated photographic frames (snapshots) using the ISOMAP algorithm. The technique enables accurate reordering of snapshots in the phase space and subsequent computation of the phase-averaged flow field without the need for synchronization. The framework was validated through numerical simulations and experimental fluid dynamics datasets from an optical setup featuring single- and multi-propeller configurations. The results demonstrate that the proposed method effectively captures the periodic flow characteristics while addressing the challenges related to synchronization and hardware limitations. Furthermore, the ability to apply this technique to archival datasets extends its applicability to a wide range of experimental fluid dynamics studies. This approach provides a scalable and cost-effective alternative to traditional methods for the analysis of periodic phenomena.
format Preprint
id arxiv_https___arxiv_org_abs_2502_12369
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An a posteriori data-driven method for phase-averaged optical measurements
Amico, Enrico
Montagner, Sara
Serpieri, Jacopo
Cafiero, Gioacchino
Fluid Dynamics
Data Analysis, Statistics and Probability
Phase-averaging is a fundamental approach for investigating periodic and non-stationary phenomena. In fluid dynamics, these can be generated by rotating blades such as propellers/turbines or by pulsed jets. Traditional phase-averaging approaches often rely on synchronized data acquisition systems, which might require high-speed cameras, light sources, and precise delay generators and encoders, making them expensive and sometimes unfeasible. This work proposes an a posteriori data-driven approach that reconstructs phase information from randomly acquired uncorrelated photographic frames (snapshots) using the ISOMAP algorithm. The technique enables accurate reordering of snapshots in the phase space and subsequent computation of the phase-averaged flow field without the need for synchronization. The framework was validated through numerical simulations and experimental fluid dynamics datasets from an optical setup featuring single- and multi-propeller configurations. The results demonstrate that the proposed method effectively captures the periodic flow characteristics while addressing the challenges related to synchronization and hardware limitations. Furthermore, the ability to apply this technique to archival datasets extends its applicability to a wide range of experimental fluid dynamics studies. This approach provides a scalable and cost-effective alternative to traditional methods for the analysis of periodic phenomena.
title An a posteriori data-driven method for phase-averaged optical measurements
topic Fluid Dynamics
Data Analysis, Statistics and Probability
url https://arxiv.org/abs/2502.12369