Model-based time super-sampling of turbulent flow field sequences

Fuente: arXiv
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Autori principali: Li-Hu, Qihong Lorena, García-Caspueñas, Patricia, Ianiro, Andrea, Discetti, Stefano
Natura: Preprint
Pubblicazione: 2025
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author Li-Hu, Qihong Lorena
García-Caspueñas, Patricia
Ianiro, Andrea
Discetti, Stefano
author_facet Li-Hu, Qihong Lorena
García-Caspueñas, Patricia
Ianiro, Andrea
Discetti, Stefano
contents We propose a novel method for model-based time super-sampling of turbulent flow fields. The key enabler is the identification of an empirical Galerkin model from the projection of the Navier-Stokes equations on a data-tailored basis. The basis is obtained from a Proper Orthogonal Decomposition (POD) of the measured fields. Time super-sampling is thus achieved by a time-marching integration of the identified dynamical system, taking the original snapshots as initial conditions. Temporal continuity of the reconstructed velocity fields is achieved through a forward-backwards integration between consecutive measured Particle Image Velocimetry measurements of a turbulent jet flow. The results are compared with the interpolation of the POD temporal coefficients and the low-order reconstruction of data measured at a higher sampling rate. In both cases, the results obtained show the ability of the method to reconstruct the dynamics of the flow with small errors during several flow characteristic times.
format Preprint
id arxiv_https___arxiv_org_abs_2502_14722
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Model-based time super-sampling of turbulent flow field sequences
Li-Hu, Qihong Lorena
García-Caspueñas, Patricia
Ianiro, Andrea
Discetti, Stefano
Fluid Dynamics
We propose a novel method for model-based time super-sampling of turbulent flow fields. The key enabler is the identification of an empirical Galerkin model from the projection of the Navier-Stokes equations on a data-tailored basis. The basis is obtained from a Proper Orthogonal Decomposition (POD) of the measured fields. Time super-sampling is thus achieved by a time-marching integration of the identified dynamical system, taking the original snapshots as initial conditions. Temporal continuity of the reconstructed velocity fields is achieved through a forward-backwards integration between consecutive measured Particle Image Velocimetry measurements of a turbulent jet flow. The results are compared with the interpolation of the POD temporal coefficients and the low-order reconstruction of data measured at a higher sampling rate. In both cases, the results obtained show the ability of the method to reconstruct the dynamics of the flow with small errors during several flow characteristic times.
title Model-based time super-sampling of turbulent flow field sequences
topic Fluid Dynamics
url https://arxiv.org/abs/2502.14722