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  Bias in particle tracking acceleration measurement

Lawson, J. M., Bodenschatz, E., Lalescu, C. C., & Wilczek, M. (2018). Bias in particle tracking acceleration measurement. Experiments in Fluids, 59(11): 172. doi:10.1007/s00348-018-2622-0.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-7A92-0 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-CECA-2
Genre: Journal Article

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 Creators:
Lawson, John Millers1, Author              
Bodenschatz, Eberhard1, Author              
Lalescu, Christian C.2, Author              
Wilczek, Michael2, Author              
Affiliations:
1Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              
2Max Planck Research Group Theory of Turbulent Flows, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2266693              

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 Abstract: We investigate sources of systematic error (bias) in acceleration statistics derived from Lagrangian particle tracking data and demonstrate techniques to eliminate or minimise these bias errors introduced during processing. Numerical simulations of particle tracking experiments in isotropic turbulence show that the main sources of bias error arise from noise due to random position errors and selection biases introduced during numerical differentiation. We outline the use of independent measurements and filtering schemes to eliminate these biases. Moreover, we test the validity of our approach in estimating the statistical moments and probability densities of the Lagrangian acceleration. Finally, we apply these techniques to experimental particle tracking data and demonstrate their validity in practice with comparisons to available data from the literature. The general approach, which is not limited to acceleration statistics, can be applied with as few as two cameras and permits a substantial reduction in the position accuracy and sampling rate required to adequately measure the statistics of Lagrangian acceleration.Graphical abstractSources of bias error in Lagrangian Particle Tracking measurements are explored. Methods are presented and validated to correct acceleration statistics for the main sources of systematic errors introduced by random position error and filtering, allowing for a substantial improvement in the effective temporal resolution of particle tracking measurements. Graphical abstract Sources of bias error in Lagrangian Particle Tracking measurements are explored. Methods are presented and validated to correct acceleration statistics for the main sources of systematic errors introduced by random position error and filtering, allowing for a substantial improvement in the effective temporal resolution of particle tracking measurements.

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Language(s): eng - English
 Dates: 2018-10-292018-11
 Publication Status: Published in print
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1007/s00348-018-2622-0
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Title: Experiments in Fluids
Source Genre: Journal
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Pages: 14 Volume / Issue: 59 (11) Sequence Number: 172 Start / End Page: - Identifier: -