Correction of Inaccurate Particle Image Velocimetry Data via a Low-Dimensional Flow Structure

No AccessTechnical NotesCorrection of Inaccurate Particle Image Velocimetry Data via a Low-Dimensional Flow StructureVan Tien Nguyen, Viet Dung Duong and Kyunghoon LeeVan Tien Nguyen https://orcid.org/0000-0003-3093-6662Pusan National University, Busan 46241, Republic of Korea*Ph.D. Candidate, Department of Aerospace Engineering; .Search for more papers by this author, Viet Dung DuongUniversity of Engineering and Technology, Vietnam National University, Hanoi 123105, Vietnam†Assistant Professor, School of Aerospace Engineering; .Search for more papers by this author and Kyunghoon LeePusan National University, Busan 46241, Republic of Korea‡Professor, Department of Aerospace Engineering; . Member AIAA.Search for more papers by this authorPublished Online:24 Oct 2023https://doi.org/10.2514/1.J063002SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Raffel M., Willert C. E., Scarano F., Kähler C. J., Wereley S. T. and Kompenhans J., Particle Image Velocimetry: A Practical Guide, Springer, Berlin, 2018, Chap. 6. https://doi.org/10.1007/978-3-319-68852-7 CrossrefGoogle Scholar[2] Nogueira J., Lecuona A. and Rodriguez P., “Data Validation, False Vectors Correction and Derived Magnitudes Calculation on PIV Data,” Measurement Science and Technology, Vol. 8, No. 12, 1997, p. 1493. https://doi.org/10.1088/0957-0233/8/12/012 CrossrefGoogle Scholar[3] Young C., Johnson D. and Weckman E., “A Model-Based Validation Framework for PIV and PTV,” Experiments in Fluids, Vol. 36, No. 1, 2004, pp. 23–35. https://doi.org/10.1007/s00348-003-0602-4 Google Scholar[4] Gunes H., Sirisup S. and Karniadakis G. E., “Gappy Data: To Krig or Not to Krig?” Journal of Computational Physics, Vol. 212, No. 1, 2006, pp. 358–382. https://doi.org/10.1016/j.jcp.2005.06.023 CrossrefGoogle Scholar[5] Raben S. G., Charonko J. J. and Vlachos P. P., “Adaptive Gappy Proper Orthogonal Decomposition for Particle Image Velocimetry Data Reconstruction,” Measurement Science and Technology, Vol. 23, No. 2, 2012, Paper 025303. https://doi.org/10.1088/0957-0233/23/2/025303 Google Scholar[6] Saini P., Arndt C. M. and Steinberg A. M., “Development and Evaluation of Gappy-POD as A Data Reconstruction Technique for Noisy PIV Measurements in Gas Turbine Combustors,” Experiments in Fluids, Vol. 57, No. 7, 2016, pp. 1–15. https://doi.org/10.1007/s00348-016-2208-7 CrossrefGoogle Scholar[7] Lee K. and Mavris D., “Efficient Particle Image Velocimetry Data Restoration via Probabilistic Principal Component Analysis,” 50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, AIAA Paper 2012-0031, 2012. https://doi.org/10.2514/6.2012-31 LinkGoogle Scholar[8] Everson R. and Sirovich L., “Karhunen-Lo‘eve Procedure for Gappy Data,” Journal of the Optical Society of America A: Optics and Image Science, and Vision, Vol. 12, No. 8, Aug. 1995, pp. 1657–1664. https://doi.org/10.1364/JOSAA.12.001657 CrossrefGoogle Scholar[9] Lee K. and Mavris D. N., “Unifying Perspective for Gappy Proper Orthogonal Decomposition and Probabilistic Principal Component Analysis,” AIAA Journal, Vol. 48, No. 6, 2010, pp. 1117–1129. https://doi.org/10.2514/1.45750 LinkGoogle Scholar[10] Tipping M. E. and Bishop C. M., “Probabilistic Principal Component Analysis,” Journal of the Royal Statistical Society: Series B (Statistical Methodology), Vol. 61, No. 3, 1999, pp. 611–622. https://doi.org/10.1111/1467-9868.00196 CrossrefGoogle Scholar[11] Lee K., “Effects of Disparate Bases and Norms on Minimizing a Least-Squares Reconstruction Error,” AIAA Journal, Vol. 49, No. 10, 2011, pp. 2321–2325. https://doi.org/10.2514/1.J051153 LinkGoogle Scholar[12] Dempster A. P., Laird N. M. and Rubin D. B., “Maximum Likelihood from Incomplete Data via the EM Algorithm,” Journal of the Royal Statistical Society: Series B (Methodological), Vol. 39, No. 1, 1977, pp. 1–22. https://doi.org/10.1111/j.2517-6161.1977.tb01600.x CrossrefGoogle Scholar[13] Zuhal L. R., Dung D. V., Sepnov A. J. and Muhammad H., “Core Spreading Vortex Method for Simulating 3D Flow Around Bluff Bodies,” Journal of Engineering & Technological Sciences, Vol. 46, No. 4, 2014, pp. 436–454. https://doi.org/10.5614/j.eng.technol.sci.2014.46.4.7 Google Scholar[14] Duong V. D., Zuhal L. R. and Muhammad H., “Fluid–Structure Coupling in Time Domain for Dynamic Stall Using Purely Lagrangian Vortex Method,” CEAS Aeronautical Journal, Vol. 12, April 2021, pp. 381–399. https://doi.org/10.1007/s13272-021-00511-z CrossrefGoogle Scholar[15] Nguyen V. L., Phan T. T., Duong V. D. and Le N. T., “Turbulent Energy Cascade Associated with Viscous Reconnection of Two Vortex Rings,” Physics of Fluids, Vol. 33, No. 8, 2021, Paper 085117. https://doi.org/10.1063/5.0058317 Google Scholar[16] Shanbhogue S., Shin D.-H., Hemchandra S., Plaks D. and Lieuwen T., “Flame-Sheet Dynamics of Bluff-Body Stabilized Flames During Longitudinal Acoustic Forcing,” Proceedings of the Combustion Institute, Vol. 32, No. 2, 2009, pp. 1787–1794. https://doi.org/10.1016/j.proci.2008.06.034 CrossrefGoogle Scholar[17] Arlot S. and Celisse A., “A Survey of Cross-Validation Procedures for Model Selection,” Statistics Surveys, Vol. 4, March 2010, pp. 40–79. https://doi.org/10.1214/09-SS054 CrossrefGoogle Scholar Previous article Next article FiguresReferencesRelatedDetails What's Popular Articles in Advance CrossmarkInformationCopyright © 2023 by Van Tien Nguyen, Viet Dung Duong, and Kyunghoon Lee. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the eISSN 1533-385X to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp. KeywordsParticle Image VelocimetryReplacement of Incorrect DataGappy Proper Orthogonal DecompositionProbabilistic Principal Component AnalysisAcknowledgmentThis research was supported by the Agency for Defense Development (ADD) under Contract UD210003DD.PDF Received16 March 2023Accepted5 September 2023Published online24 October 2023