Bhattacharya S Charonko JJ Vlachos PP Particle image velocimetry (PIV) uncertainty quantification using moment of correlation (MC) plane Meas Sci Technol 2018 29 11 115301 10.1088/1361-6501/aadfb4 Google Scholar.Azijli I Sciacchitano A Ragni D Palha A Dwight RP A posteriori uncertainty quantification of PIV-based pressure data Exp Fluids 2016 57 5 72 10.1007/s0034-z Google Scholar.The results are compared with computational fluid dynamics (CFD) and show high levels of agreement with only limited discrepancies, which are attributed to the space-filtering effect within cross-correlation resulting from shock waves. Then, the modular nature of the proposed framework is experimentally demonstrated using a combination of Abel inversion and inverse gradient techniques to reconstruct a 3D axisymmetric density field around a transonic projectile in free-flight. The accuracy of the proposed approach is assessed by comparing analytical and MCS results. We demonstrate this method first by using synthetic images and a Poisson solver with mixed boundary conditions in a 2D domain. The key features of this methodology are its capacity to handle different mathematical reconstruction procedures and the ease with which it can integrate additional sources of error. The proposed framework is based on the Monte Carlo simulation (MCS) method and can consider all kinds of sources of error, ranging from experimental measurements to those arising from image processing.
In this study, we present a detailed approach for an a posteriori estimation of uncertainty when using BOS measurements to reconstruct the refractive index/density field. This lengthy combination of experimental measurements, cross-correlation evaluation, and mathematical computation complicates the uncertainty quantification of the reconstructed field. However, in the BOS technique, the reconstruction of the refractive index field involves further mathematical calculations, which depend on the flow geometry, such as Poisson solver, Abel inversion, algebraic reconstruction technique, and filtered back-projection. BOS measurement is similar to particle image velocimetry (PIV) ones in terms of experiments design and the computation of the displacements. Background-oriented schlieren (BOS) technique is a density-based optical measurement technique.
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