A method for automatic estimation of instantaneous local uncertainty in particle image velocimetry measurements

By Ben Timmins, B. Wilson, Barton L Smith, Pavlos P. Vlachos. 2012

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Estimation of uncertainty bounds for individual particle image velocimetry measurements from cross-correlation peak ratio (2013, background): “Recently Timmins et al [12] quantified the expected uncertainty for a given cross-correlation algorithm under specific processing parameters.”
PIV uncertainty quantification by image matching (2013, methodology): “Timmins et al (2012) introduced the ‘uncertainty effectiveness’ to investigate the appropriateness of their uncertainty estimation: this parameter is defined as the percentage of calculated vectors V which contain the true value Vactual within their uncertainty band ± U, i.e. such that V –”
Uncertainty on PIV mean and fluctuating velocity due to bias and random errors (2013, methodology): “Timmins [1] and Timmins et al [2] have studied the effects of specific error sources (particle image density, diameter, and displacement, and flow shear) on specific PIV algorithm uncertainty using synthetic PIV images.”