Abstract
In this study, a variation of the stacked stereoscopic PIV technique is proposed to perform fully volumetric (3-dimensions, 3-components) measurements of average flow fields within a single experiment through the usage of an automated traversing system that continuously scans the SPIV light sheet over a linear path. The simultaneous measurement of the traverse location and the laser Q-switch pulse enables the automated assignment of instantaneous PIV fields to known physical coordinates, enabling spatiotemporal averaging in post-processing to obtain volumetric measurements of a flow field. This method provides a trade-off between spatial resolution of the volume measurements and statistical convergence of the spatiotemporal averages, enabling volumetric measurements under challenging experimental conditions where only stereoscopic PIV is viable. A comparison with the more traditional temporal averaging method and planar PIV is presented to demonstrate the capabilities and limitations of this technique in realistic, challenging experimental setups. It is found that the spatiotemporal averaging convergence behavior differs slightly from the traditional temporal averaging for the wake of a bluff body model, however relative errors lower than two standard deviations can still be attained. Thus, this technique presents a viable alternative for rapid 3D reconstruction of averaged flow fields that can provide invaluable insight of various flow topologies.
This is a preview of subscription content, access via your institution.








Data availability
Data are available on request from the authors.
References
Adler MC, Gaitonde DV (2019) Structure, scale, and dynamics of a double-fin shock/turbulent-boundary-layer interaction at mach 4. https://doi.org/10.2514/6.2019-0096, https://arc.aiaa.org/doi/abs/10.2514/6.2019-0096,
Ahrens J, Geveci B, Law C (2005) 36 - Paraview: an end-user tool for large-data visualization. In: Hansen CD, Johnson CR (eds) Visualization Handbook, Butterworth-Heinemann, Burlington, pp 717–731, https://doi.org/10.1016/B978-012387582-2/50038-1
Bendat J, Piersol A (1971) Random data: analysis and measurement procedures. Wiley
Brücker C (1995) Digital-particle-image-velocimetry (dpiv) in a scanning light-sheet: 3d starting flow around a short cylinder. Exp Fluids 19(4):255–263. https://doi.org/10.1007/BF00196474
Cardano D, Carlino G, Cogotti A (2008) PIV in the car industry: state-of-the-artand future perspectives. Springer, Berlin Heidelberg, Berlin, Heidelberg, pp 363–376
Chaves H, Brucker C (2010) Dynamic focusing for wide-field light-sheet scanning
Elsinga GE, Scarano F, Wieneke B, van Oudheusden BW (2006) Tomographic particle image velocimetry. Exp Fluids 41(6):933–947. https://doi.org/10.1007/s00348-006-0212-z
Government of Canada (2021) The nato generic destroyer - a shared geometry for collaborative research into modelling and simulation of shipboard launch and recovery: Source data posting on open science canada. https://open.canada.ca/data/en/dataset/2c30e366-ef2b-400e-8363-0b13e4a7b6f4
Griffin J, Schultz T, Holman R, Ukeiley LS, Cattafesta LN (2010) Application of multivariate outlier detection to fluid velocity measurements. Exp Fluids 49(1):305–317. https://doi.org/10.1007/s00348-010-0875-3
Hess D, Brücker C, Kitzhofer J, Nonn T (2011) Single-view volumetric PIV using High-resolution Scanning and Least Squares Matching
Hoyer K, Holzner M, Lüthi B, Guala M, Liberzon A, Kinzelbach W (2005) 3d scanning particle tracking velocimetry. Exp Fluids 39(5):923–934. https://doi.org/10.1007/s00348-005-0031-7
Kitzhofer J, Kirmse C, Brücker C (2009) High density, long-term 3d ptv using 3d scanning illumination and telecentric imaging. In: Nitsche W, Dobriloff C (eds) Imaging measurement methods for flow analysis. Springer, Berlin Heidelberg, Berlin, pp 125–134
Kumar R, Kumar R, DeSpirito J (2022) Development of vortex asymmetry on a generic projectile configuration. J Spacecr Rockets 10(2514/1):A35342
Maas HG, Gruen A, Papantoniou D (1993) Particle tracking velocimetry in three-dimensional flows. Exp Fluids 15(2):133–146. https://doi.org/10.1007/BF00190953
Mears LJ, Sellappan P, Alvi FS (2021) Three-dimensional flowfield in a fin-generated shock wave/boundary-layer interaction using tomographic piv. AIAA J 59(12):4869–4880. https://doi.org/10.2514/1.J060356
Meyer KE, Özcan O, Westergaard CH (2002) Flow mapping of a jet in crossflow with stereoscopic piv. J Vis 5(3):225–231. https://doi.org/10.1007/BF03182330
Nakagawa M, Michaux F, Kallweit S, Maeda K (2016) Unsteady flow measurements in the wake behind a wind-tunnel car model by using high-speed planar piv. In: 11TH International Symposium on Particle Image Velocimetry - PIV15 Santa Barbara, California
Ostermann F, Woszidlo R, Nayeri C, Paschereit CO (2016). The time-resolved flow field of a jet emitted by a fluidic oscillator into a crossflow. https://doi.org/10.2514/6.2016-0345
Ostermann F, Godbersen P, Woszidlo R, Nayeri C, Paschereit C (2017) Sweeping jet from a fluidic oscillator in crossflow. Phys Rev Fluids. https://doi.org/10.1103/PhysRevFluids.2.090512
Palm K (2022) Time-resolved piv measurements of ship airwakes with quartering winds. Master’s thesis, Embry-Riddle Aeronautical University
Partridge JL, Lefauve A, Dalziel SB (2019) A versatile scanning method for volumetric measurements of velocity and density fields. Meas Sci Technol 30(5):055203. https://doi.org/10.1088/1361-6501/ab0bfd
Raffel M, Willert CE, Scarano F, Kähler CJ, Wereley ST, Kompenhans J (2018) Particle image velocimetry: a practical guide. Springer
Rao CR (2002) Linear statistical inference and its applications. Wiley
Rousseau G, Ancey C (2020) Scanning piv of turbulent flows over and through rough porous beds using refractive index matching. Exp Fluids 61(8):172. https://doi.org/10.1007/s00348-020-02990-y
Scarano F (2013) Tomographic piv: principles and practice. Meas Sci Technol. https://doi.org/10.1088/0957-0233/24/1/012001
Seckin S, Mears LJ, Song M, Zigunov F, Sellappan P, Alvi FS (2022). Surface Properties of double-fin generated shock-wave/boundary-layer interactions. https://doi.org/10.2514/6.2022-0701
Sellappan P, McNally J, Alvi FS (2018) Time-averaged three-dimensional flow topology in the wake of a simplified car model using volumetric piv. Exp Fluids 59(8):124. https://doi.org/10.1007/s00348-018-2581-5
Shukla S, Sinha S, Singh S (2019) Ship-helo coupled airwake aerodynamics: a comprehensive review. Prog Aerosp Sci 106:71–107. https://doi.org/10.1016/j.paerosci.2019.02.002
Tinney CE, Ukeiley LS (2009) A study of a 3-d double backward-facing step. Exp Fluids 47(3):427–438. https://doi.org/10.1007/s00348-009-0675-9
Zigunov F (2022) Dynamic masking application. https://github.com/3dfernando/DynamicMasking
Zigunov F, Sellappan P, Alvi F (2022) Hysteretic flow regime switching in the wake of a cylinder with a slanted afterbody. Exp Fluids 63(5):80. https://doi.org/10.1007/s00348-022-03434-5
Zigunov F, Sellappan P, Alvi F, Ozawa Y, Saito Y, Nonomura T, Asai K (2022) Time-resolved particle image velocimetry and pressure sensitive paint measurements of afterbody flow dynamics. Phys Rev Fluids 7:024701. https://doi.org/10.1103/PhysRevFluids.7.024701
Acknowledgements
The authors would also like to thank the wind tunnel engineers Alex Karns and Benjamin Kepple for their expertise operating the Polysonic Wind Tunnel facility, as well as the master machinist Jeremy Phillips for providing the detailed aerodynamic models required for this study.
Funding
This work is partially sponsored by the Office of Naval Research (ONR) and the Air Force Office for Scientific Research (AFOSR)
Author information
Authors and Affiliations
Contributions
F. Z. conceptualized the experiments and wrote the main manuscript text. R. H. led the experimental effort for the cylindrical bluff body wake experiment. C. E. led the experimental effort for the ship wake experiment. S. S. led the experimental effort for the supersonic double fin experiment. F. A. supervised the effort and helped interpret the physics of the results obtained. All authors reviewed the results and approved the final version of the manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The authors have no competing interests to declare that are relevant to the content of this article.
Ethical approval
Does not apply
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Zigunov, F., Seckin, S., Huss, R. et al. A continuously scanning spatiotemporal averaging method for obtaining volumetric mean flow measurements with stereoscopic PIV. Exp Fluids 64, 56 (2023). https://doi.org/10.1007/s00348-023-03596-w
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00348-023-03596-w