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Interpolation of Scattered 3D PTV Data to a Regular Grid

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Abstract

The velocity data obtained by many 3D measurement methods such as particle tracking velocimetry (PTV) are not regularly distributed in3D space. We revised three numerical schemes to interpolate the scattered velocity vectors to a regularly spaced grid. Additionally, two techniques were examined to smooth the resulting flow field. The different algorithms were tested for a synthetic data set based on the analytical solution of Burgers' vortex. To study the impact of measurement errors a Gaussian noise was superimposed on the exact solution. It was found that an interpolation scheme of higher order does not necessarily perform better than one of lower order. The most‘robust’ algorithm was used to process 3D PTV data, which were obtained from measurements of a separating flow in a forward facing step configuration. Information on the 3D streamlines and vortex structures was obtained.

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Authors and Affiliations

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

    Stefan Blaser

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  1. Heinrich Stüer
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  2. Stefan Blaser
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Stüer, H., Blaser, S. Interpolation of Scattered 3D PTV Data to a Regular Grid. Flow, Turbulence and Combustion 64, 215–232 (2000). https://doi.org/10.1023/A:1009904013148

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