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Stereo-particle image velocimetry uncertainty quantification

Journal Article · · Measurement Science and Technology
 [1];  [2];  [1]
  1. Purdue Univ., West Lafayette, IN (United States). School of Mechanical Engineering
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Particle image velocimetry (PIV) measurements are subject to multiple elemental error sources and thus estimating overall measurement uncertainty is challenging. Recent advances have led to a posteriori uncertainty estimation methods for planar two-component PIV. However, no complete methodology exists for uncertainty quantification in stereo PIV. In the current paper, a comprehensive framework is presented to quantify the uncertainty stemming from stereo registration error and combine it with the underlying planar velocity uncertainties. The disparity in particle locations of the dewarped images is used to estimate the positional uncertainty of the world coordinate system, which is then propagated to the uncertainty in the calibration mapping function coefficients. Next, the calibration uncertainty is combined with the planar uncertainty fields of the individual cameras through an uncertainty propagation equation and uncertainty estimates are obtained for all three velocity components. The methodology was tested with synthetic stereo PIV data for different light sheet thicknesses, with and without registration error, and also validated with an experimental vortex ring case from 2014 PIV challenge. Thorough sensitivity analysis was performed to assess the relative impact of the various parameters to the overall uncertainty. The results suggest that in absence of any disparity, the stereo PIV uncertainty prediction method is more sensitive to the planar uncertainty estimates than to the angle uncertainty, although the latter is not negligible for non-zero disparity. Overall the presented uncertainty quantification framework showed excellent agreement between the error and uncertainty RMS values for both the synthetic and the experimental data and demonstrated reliable uncertainty prediction coverage. Finally, this stereo PIV uncertainty quantification framework provides the first comprehensive treatment on the subject and potentially lays foundations applicable to volumetric PIV measurements.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Purdue Univ., West Lafayette, IN (United States)
Sponsoring Organization:
USDOE; National Science Foundation (NSF) (United States)
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1458948
Alternate ID(s):
OSTI ID: 22683329
Report Number(s):
LA-UR--16-24050
Journal Information:
Measurement Science and Technology, Journal Name: Measurement Science and Technology Journal Issue: 1 Vol. 28; ISSN 0957-0233
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

References (26)

Experimentation, Validation, and Uncertainty Analysis for Engineers book July 2009
Particle Image Velocimetry book January 2007
Stereo-PIV using self-calibration on particle images journal May 2005
Analysis of interpolation schemes for image deformation methods in PIV: effect of noise on the accuracy and spatial resolution journal May 2006
Tomographic particle image velocimetry journal October 2006
Measurement of laminar, transitional and turbulent pipe flow using Stereoscopic-PIV journal December 2006
Phase correlation processing for DPIV measurements journal March 2008
Spatial resolution of the Stereo PIV technique journal November 2008
A method for automatic estimation of instantaneous local uncertainty in particle image velocimetry measurements journal July 2012
Multi-frame pyramid correlation for time-resolved PIV journal July 2012
Self-calibration performance in stereoscopic PIV acquired in a transonic wind tunnel journal March 2016
Main results of the 4th International PIV Challenge journal May 2016
Stereoscopic particle image velocimetry journal August 2000
The effect of a discrete window offset on the accuracy of cross-correlation analysis of digital PIV recordings journal May 1997
Stereoscopic particle image velocimetry journal December 1991
PIV uncertainty quantification by image matching journal March 2013
Estimation of uncertainty bounds for individual particle image velocimetry measurements from cross-correlation peak ratio journal April 2013
PIV uncertainty quantification from correlation statistics journal June 2015
Collaborative framework for PIV uncertainty quantification: the experimental database journal June 2015
Collaborative framework for PIV uncertainty quantification: comparative assessment of methods journal June 2015
A comparative experimental evaluation of uncertainty estimation methods for two-component PIV journal August 2016
Distortion compensation for generalized stereoscopic particle image velocimetry journal December 1997
Stereoscopic digital particle image velocimetry for application in wind tunnel flows journal December 1997
Three-dimensional particle image velocimetry: error analysis of stereoscopic techniques journal August 1997
A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses journal August 1987
A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses journal August 1987

Cited By (10)

Meta-uncertainty for particle image velocimetry journal June 2021
PIV Uncertainty Quantification and Beyond text January 2017
Comparison of 4D Flow MRI and Particle Image Velocimetry Using an In Vitro Carotid Bifurcation Model journal August 2018
Experimental study of the mean structure and quasi-conical scaling of a swept-compression-ramp interaction at Mach 2 journal February 2018
‘Postage-stamp PIV’: small velocity fields at 400 kHz for turbulence spectra measurements journal February 2018
Uncertainty quantification in density estimation from background oriented schlieren (BOS) measurements journal December 2019
Multi-modality cerebral aneurysm haemodynamic analysis: in vivo 4D flow MRI, in vitro volumetric particle velocimetry and in silico computational fluid dynamics journal September 2019
Two regime cooling in flow induced by a spark discharge journal January 2020
Uncertainty Quantification in density estimation from Background Oriented Schlieren (BOS) measurements text January 2019
Two Regime Cooling in Flow Induced by a Spark Discharge text January 2019

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