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Experiments in Fluids
Erschienen in: Experiments in Fluids 1/2018

01.01.2018 | Research Article

Time-resolved flow reconstruction with indirect measurements using regression models and Kalman-filtered POD ROM

verfasst von: Romain Leroux, Ludovic Chatellier, Laurent David

Erschienen in: Experiments in Fluids | Ausgabe 1/2018

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Abstract

This article is devoted to the estimation of time-resolved particle image velocimetry (TR-PIV) flow fields using a time-resolved point measurements of a voltage signal obtained by hot-film anemometry. A multiple linear regression model is first defined to map the TR-PIV flow fields onto the voltage signal. Due to the high temporal resolution of the signal acquired by the hot-film sensor, the estimates of the TR-PIV flow fields are obtained with a multiple linear regression method called orthonormalized partial least squares regression (OPLSR). Subsequently, this model is incorporated as the observation equation in an ensemble Kalman filter (EnKF) applied on a proper orthogonal decomposition reduced-order model to stabilize it while reducing the effects of the hot-film sensor noise. This method is assessed for the reconstruction of the flow around a NACA0012 airfoil at a Reynolds number of 1000 and an angle of attack of \({20}^{\circ }\). Comparisons with multi-time delay-modified linear stochastic estimation show that both the OPLSR and EnKF combined with OPLSR are more accurate as they produce a much lower relative estimation error, and provide a faithful reconstruction of the time evolution of the velocity flow fields.
Vorheriger Artikel Investigation of shock–acoustic-wave interaction in transonic flow
Nächster Artikel The dynamics of milk droplet–droplet collisions

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Metadaten
Titel
Time-resolved flow reconstruction with indirect measurements using regression models and Kalman-filtered POD ROM
verfasst von
Romain Leroux
Ludovic Chatellier
Laurent David
Publikationsdatum
01.01.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Experiments in Fluids / Ausgabe 1/2018
Print ISSN: 0723-4864
Elektronische ISSN: 1432-1114
DOI
https://doi.org/10.1007/s00348-017-2455-2

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