Uncertainty quantification in density estimation from background-oriented Schlieren measurements

Rajendran, Lalit K.; Zhang, Jiacheng; Bhattacharya, Sayantan; Bane, Sally P. M.; Vlachos, Pavlos P.

doi:10.1088/1361-6501/ab60c8

Uncertainty quantification in density estimation from background-oriented Schlieren measurements

Journal Article · Tue Dec 10 23:00:00 EST 2019 · Measurement Science and Technology

DOI:https://doi.org/10.1088/1361-6501/ab60c8· OSTI ID:1598804

^[1]; Zhang, Jiacheng ^[2]; Bhattacharya, Sayantan ^[2]; Bane, Sally P. M. ^[2]; ^[2]

Purdue Univ., West Lafayette, IN (United States); Purdue University, School of Aeronautics and Astronautics
Purdue Univ., West Lafayette, IN (United States)

In this paper, we present an uncertainty quantification methodology for density estimation from background-oriented Schlieren (BOS) measurements, in order to provide local, instantaneous, a posteriori uncertainty bounds on each density measurement in the field of view. Displacement uncertainty quantification algorithms from cross-correlation-based particle image velocimetry are used to estimate the uncertainty in the dot pattern displacements obtained from cross-correlation for BOSs and assess their feasibility. In order to propagate the displacement uncertainty through the density integration procedure, we also develop a novel methodology via the Poisson solver using sparse linear operators. Testing the method using synthetic images of a Gaussian density field showed agreement between the propagated density uncertainties and the true uncertainty. Subsequently, the methodology is experimentally demonstrated for supersonic flow over a wedge, showing that regions with sharp changes in density lead to an increase in density uncertainty throughout the field of view, even in regions without these sharp changes. Lastly, the uncertainty propagation is influenced by the density integration scheme, and for the Poisson solver the density uncertainty on average increases on moving away from the regions where the Dirichlet boundary conditions are specified.

View Accepted Manuscript (DOE)

Research Organization:: Purdue Univ., West Lafayette, IN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

Grant/Contract Number:: SC0018156

OSTI ID:: 1598804

Alternate ID(s):: OSTI ID: 23076948

Journal Information:: Measurement Science and Technology, Journal Name: Measurement Science and Technology Journal Issue: 5 Vol. 31; ISSN 0957-0233

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Two Regime Cooling in Flow Induced by a Spark Discharge Singh, Bhavini; Rajendran, Lalit; Vlachos, Pavlos P. arXiv https://doi.org/10.48550/arxiv.1909.09126	text	January 2019

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