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Assessment of spatial derivatives determined from scattered 3D PTV data

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Abstract

Based on a linear regression model, we propose a numerical method to determine the spatial derivatives from scattered 3D PTV (particle-tracking velocimetry) data. Various quantities allowing an assessment of the numerically calculated gradients are introduced and their reliability is investigated. The performance of the numerical scheme and of the “quality estimators” was examined for different synthetic data sets obtained from Burgers' vortex. The energy dissipation was computed from experimental PTV measurements performed for a forward-facing step configuration.

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Authors and Affiliations

  1. Institute of Hydromechanics and Water Resources Management Swiss Federal Institute of Technology 8093 Zürich, Switzerland, , , , , , CH

    H. Stüer & S. Blaser

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  1. H. Stüer
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  2. S. Blaser
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Received: 11 March 1999/Accepted: 8 August 2000

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Stüer, H., Blaser, S. Assessment of spatial derivatives determined from scattered 3D PTV data. Experiments in Fluids 30, 492–499 (2001). https://doi.org/10.1007/s003480000225

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  • DOI: https://doi.org/10.1007/s003480000225

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