50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition 2012
DOI: 10.2514/6.2012-33
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Integration of non-time-resolved PIV and time-resolved velocity point sensors for dynamic estimation of time-resolved velocity fields

Abstract: We demonstrate a three-step method for estimating time-resolved velocity fields using time-resolved point measurements and non-time-resolved particle image velocimetry (PIV) data. First, we use linear stochastic estimation to obtain an initial set of time-resolved estimates of the flow field. These initial estimates are then used to identify a linear model of the flow physics. The model is incorporated into a Kalman smoother, which is used to make a second, improved set of estimates. We verify this method with… Show more

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Cited by 23 publications
(32 citation statements)
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“…25,26 This should permit the calculation of DMD modes to identify fixed-frequency flow structures. Then, unsteady pressure acquired simultaneously with PIV will estimate the time-resolved velocity field in a low-order manner.…”
Section: Discussionmentioning
confidence: 99%
“…25,26 This should permit the calculation of DMD modes to identify fixed-frequency flow structures. Then, unsteady pressure acquired simultaneously with PIV will estimate the time-resolved velocity field in a low-order manner.…”
Section: Discussionmentioning
confidence: 99%
“…The method may also yield the estimation of the pressure, but requires the use of a higher-order SE model than for the velocity estimation (see Naguib, Wark & Juckenhöfel (2001); Murray & Ukeiley (2003); Hudy, Naguib & Humphreys (2007)), for which the linear SE (LSE) gives satisfactory results. Other more advanced methods, relying on similar techniques, have been introduced for instance by Tu et al (2013). They elaborated a three-step estimation approach for the unsteady field that uses down-sampled TR-PIV snapshots and point sensors.…”
mentioning
confidence: 99%
“…This combined usage of multi-time delay linear stochastic estimation of POD expansion coefficients is known as mtd LSE-POD. 16,17 When applied to a spatially-resolved fluctuating velocity field, POD provides a set of ortho-normal modes that are weighted based on the turbulent kinetic energy of the field. POD thus allows for the construction of a reduced order model of a high-dimensional velocity field, through a truncation of the modes.…”
Section: Physical Setupmentioning
confidence: 99%
“…As with traditional PIV, however, the flow field measurements are conducted at a low sampling rate compared to the relative time scales of the flow field. To circumvent this, a stochastic estimation technique 16,17 is implemented in which time-resolved surface pressure fluctuations that are synchronized with the lowfrequency sampled PIV data are used to generate an estimate of the time-resolved flow field. This flow-field estimate is then used to compute a low-order representation of components of the unsteady Lamb vector.…”
Section: Theoretical Backgroundmentioning
confidence: 99%