Abstract
We perform a sensor-based velocity field estimation in the wake of a wall-mounted pyramid from experimental data. The velocity field is measured with time-resolved stereoscopic PIV, and the sensors monitor local surface pressure. Starting point is the extended proper orthogonal decomposition technique. Key enablers for the spatio-temporal resolution of the strongly modulated shedding are (1) the exploitation of cross-correlation between velocity field and pressure, (2) time-delayed sensor signals, (3) symmetry considerations and (4) guaranteed orthonormality of the velocity expansion modes. The combined filtering operations are shown to yield a near-optimal flow estimation from pressure signals. The residual of the estimated coherent kinetic energy is about 30–50 % smaller, and the mean-field paraboloid is better rendered than with the previously proposed estimation methods.
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Acknowledgments
The authors acknowledge funding from the Natural Sciences and Engineering Research Council of Canada (NSERC) and the ANR Chair of Excellence TUCOROM. We thank the reviewers for important insightful comments.
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Hosseini, Z., Martinuzzi, R.J. & Noack, B.R. Sensor-based estimation of the velocity in the wake of a low-aspect-ratio pyramid. Exp Fluids 56, 13 (2015). https://doi.org/10.1007/s00348-014-1880-8
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DOI: https://doi.org/10.1007/s00348-014-1880-8