Abstract
We present a new numerical method for reconstruction of instantaneous density volume from 3D background-oriented schlieren (3DBOS) measurements, with a validation on a dedicated flexible experimental BOS bench. In contrast to previous works, we use a direct formulation where density is estimated from measured deviation fields without the intermediate step of density gradient reconstruction. Regularization techniques are implemented to deal with the ill-posed problem encountered. The resulting high-dimensional optimization is conducted by conjugate gradient techniques. A parallel algorithm, implemented on graphics processing unit, helps to speed up the calculation. The resulting software is validated on synthetic BOS images of a 3D density field issued from a numerical simulation. Then, we describe a dedicated 3DBOS experimental facility which has been built to study various BOS settings and to assess the performance of the proposed numerical reconstruction process. Results on various datasets illustrate the potential of the method for flow characterization and measurement in real-world conditions.
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References
Alhaj O, Seume JR (2010) Optical investigation of profile losses in a linear turbine cascade. In: ASME turbo expo 2010: power for land, sea, and air. American Society of Mechanical Engineers, pp 1503–1513
Atcheson B, Ihrke I, Heidrich W, Tevs A, Bradley D, Magnor M, Seidel HP (2008) Time-resolved 3d capture of non-stationary gas flows. In: ACM Transactions on graphics (Proceedings of SIGGRAPH Asia) 27(5):132
Bauknecht A, Ewers B, Wolf C, Leopold F, Yin J, Raffel M (2015) Three-dimensional reconstruction of helicopter blade tip vortices using a multi-camera BOS system. Exp Fluids 56(1):1–13
Bichal A, Thurow B (2014) On the application of background oriented schlieren for wavefront sensing. Measur Sci Technol 25(1):015,001
Cabaleiro Aea (2013) Single camera time-resolved 3d tomographic reconstruction of a pulsed gas jet. J Vis
Champagnat F, Plyer A, Le Besnerais G, Davoust S, Le Sant Y (2011) Fast and accurate PIV computation using highly parallel iterative correlation maximization. Exp Fluids 50:1169–1182
Christian Wolf C, Gardner AD, Ewers B, Raffel M (2014) Starting process of a pulsed jet as seen by schlieren measurements. AIAA J 1–6
Dalziel SB, Hughes GO, Sutherland BR (2000) Whole-field density measurements by synthetic schlieren. Exp Fluids 28(4):322–335
Gac N, Vabre A, Mohammad-Djafari A, Rabanal A, Buyens F, et al. (2010) Gpu implementation of a 3d bayesian ct algorithm and its application on real foam reconstruction. In: The 1st CT meeting proceedings, pp 151–155
Goldhahn E, Seume J (2007) The background oriented schlieren technique: sensitivity, accuracy, resolution and application to a three-dimensional density field. Exp Fluids 43(2–3):241–249
Gross D, Heil U, Schulze R, Schoemer E, Schwanecke U (2009) Gpu-based volume reconstruction from very few arbitrarily aligned X-ray images. J Sci Comput 31(6):4204–4221
Hansen PC (1992) Analysis of discrete ill-posed problems by means of the L-curve. SIAM Rev 34(4):561–580
Idier J (2010) Bayesian approach to Inverse problems, vol 35. Wiley, New York
Ihrke I (2007) Reconstruction and rendering of time-varying natural phenomena. Ph.D. thesis, Max-Planck-Institut fur Informatik
Ihrke I, Magnor M (2004) Image-based tomographic reconstruction of flames. In: Boulic DPR (ed) Eurographics/ACM SIGGRAPH symposium on computer animation
Kak AC, Slaney M (2001) Principles of computerized tomographic imaging. Society for Industrial and Applied Mathematics
Kindler K, Goldhahn E, Leopold F, Raffel M (2007) Recent developments in background-oriented schlieren methods for rotor blade tip vortex measurements. Exp Fluids 43:233–240 (Cite par Sourguen 2012 comme un article BOS axisym par Abel)
Le Sant Y, Todoroff V, Bernard-Brunel A, Le Besnerais G, Micheli F, Donjat D (2014) Multi-camera calibration for 3dbos. In: Application of laser techniques to fluid mechanics. Lisbon
Leopold F, Ota M, Klatt D, Maeno K (2013) Reconstruction of the unsteady supersonic flow around a spike using the colored background oriented schlieren technique. J Flow Control Measur Vis 1(2):69–76
Meier G (2002) Computerized background-oriented schlieren. Exp Fluids 33(1):181–187
Ota M, Hamada K, Kato H, Maeno K (2011) Computed-tomographic density measurement of supersonic flow field by colored-grid background oriented schlieren (CGBOS) technique. Meas Sci Technol 22:104–111
Ota M, Hamada K, Maeno K (2010) Quantitative 3d density measurement of supersonic flow by colored grid background oriented schleiren (CGBOS) technique. In: 27th international congress aeronautical sciences (ICAS2010)
Pan Y, Whitaker R, Cheryauka A, Ferguson D (2010) Regularized 3d iterative reconstruction on a mobile c-arm CT. In: Proceedings of the first CT meeting, Salt Lake City
Plyer A, Le Besnerais G, Champagnat F (2014) Massively parallel Lucas Kanade optical flow for real-time video processing applications. J Real-Time Image Process 1–18
Raffel M (2015) Background-oriented schlieren (BOS) techniques. Exp Fluids 56(3):1–17
Raffel M, Richard H, Yu Y, Meier G (2000) Background oriented stereoscopic schlieren (BOSS) for full scale helicopter vortex characterization. In: In 9th international symposium on flow visualization. Heriot-Watt University, Edinburgh
Schröder A, Over B, Geisler R, Bulit A, Schwane R, Kompenhans J (2009) Measurements of density fields in micro nozzle plumes in vacuum by using an enhanced tomographic background oriented schlieren (BOS) technique. In: 9th international symposium on measurement technology and intelligent instruments. Saint-Petersburg
Sourgen F, Haertig J, Rey C (2004) Comparison between background oriented schlieren measurements (BOS) and numerical simulations. In: 24th AIAA aerodynamic measurement technology and ground testing conference, Portland OR, USA, paper AIAA, vol 2602
Sourgen F, Leopold F, Klatt D (2012) Reconstruction of the density field using the colored background oriented schlieren technique (CBOS). Opt Lasers Eng 50:29–38
Tikhonov A, Arsenin V (1977) Solutions of ill-posed problems. Winston
Todoroff V, Le Besnerais G, Donjat D, Micheli FAP, Champagnat F (2014) Reconstruction of instantaneous 3d flow density fields by a new direct regularized 3dbos method. In: 17th international symposium on application of laser techniques to fluid mechanics, Lisbon
Todoroff V, Plyer A, Le Besnerais G, Champagnat F, Donjat D, Micheli F, Millan P (2012) 3D reconstruction of th density field of a jet using synthetic BOS images. In: 15th international symposium on flow visualization, Minsk
Venkatakrishnan L (2005) Density measurements in an axisymmetric underexpanded jet by background-oriented schlieren technique. AIAA J 43(7):1574–1579
Venkatakrishnan L, Meier G (2004) Density measurements using the background oriented schlieren technique. Exp Fluids 37(2):237–247
Venkatakrishnan L, Suriyanarayanan P (2009) Density field of supersonic separated flow past an afterbody nozzle using tomographic reconstruction of bos data. Exp Fluids 47:463–473
Vuillot F, Lupoglazoff N, Rahier G (2008) Double stream nozzles flow and noise computations and comparisons to experiments. In: 46th AIAA aerospace sciences meeting and exhibit
Wright S, Nocedal J (1999) Numer Opt, vol 2. Springer, New York
Zeb MF, Ota M, Maeno K (2011) Quantitative measurement of heat flow in natural heat convection using color-stripe background oriented schlieren (CSBOS) method. J JSEM 11(Special Issue), s141–s146
Zhang B, Wu Z, Zhao M (2015) Deflection tomographic reconstructions of a three-dimensional flame structure and temperature distribution of premixed combustion. Appl Opt 54(6):1341–1349
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Nicolas, F., Todoroff, ., Plyer, A. et al. A direct approach for instantaneous 3D density field reconstruction from background-oriented schlieren (BOS) measurements. Exp Fluids 57, 13 (2016). https://doi.org/10.1007/s00348-015-2100-x
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DOI: https://doi.org/10.1007/s00348-015-2100-x