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Published in: Experiments in Fluids 7/2023

01-07-2023 | Research Article

Density field reconstruction from time-series schlieren images via extended phase-consistent dynamic mode decomposition

Authors: Tsuyoshi Shigeta, Takayuki Nagata, Taku Nonomura

Published in: Experiments in Fluids | Issue 7/2023

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Abstract

The extended phase-consistent dynamic mode decomposition (DMD) method, which reconstructs density fields from density gradient fields in multiple directions, was developed and applied to schlieren images in the low-density wind tunnel tests. Schlieren images were acquired in the Re = 3000, 10,000, and M = 0.15, 0.50 flows around a triangular airfoil, and the density gradient fields were calculated from the calibration of the optical system. The proposed density field reconstruction method adopts the extended phase-consistent DMD principle for the estimation of the DMD modes of the density field. The density field was reconstructed with good accuracy in a numerical simulation for comparison, and the density fluctuation region caused by vortex shedding around a triangular airfoil was visualized by the experimental data.

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Literature
go back to reference Abe Y, Nonomura T, Iizuka N, Fujii K (2014) Geometric interpretations and spatial symmetry property of metrics in the conservative form for high-order finite-difference schemes on moving and deforming grids. J Comput Phys 260:163–203MathSciNetMATH Abe Y, Nonomura T, Iizuka N, Fujii K (2014) Geometric interpretations and spatial symmetry property of metrics in the conservative form for high-order finite-difference schemes on moving and deforming grids. J Comput Phys 260:163–203MathSciNetMATH
go back to reference Anyoji M, Nose K, Ida S, Numata D, Nagai H, Asai K (2011) Development of a low-density wind tunnel for simulating Martian atmospheric flight. Trans Japan Soc Aeronaut Space Sci Aerospace Technol Japan 9:21–27 Anyoji M, Nose K, Ida S, Numata D, Nagai H, Asai K (2011) Development of a low-density wind tunnel for simulating Martian atmospheric flight. Trans Japan Soc Aeronaut Space Sci Aerospace Technol Japan 9:21–27
go back to reference Anyoji M, Numata D, Nagai H, Asai K (2015) Effects of Mach number and specific heat ratio on low-Reynolds-number airfoil flows. AIAA J 53(6):1640–1654 Anyoji M, Numata D, Nagai H, Asai K (2015) Effects of Mach number and specific heat ratio on low-Reynolds-number airfoil flows. AIAA J 53(6):1640–1654
go back to reference Anyoji M, Numata D, Nagai H, Asai K (2021) Supersonic ejector-driving system under low pressure: a performance evaluation. Trans Japan Soc Aeronaut Space Sci 64(3):156–164 Anyoji M, Numata D, Nagai H, Asai K (2021) Supersonic ejector-driving system under low pressure: a performance evaluation. Trans Japan Soc Aeronaut Space Sci 64(3):156–164
go back to reference Aono H, Nonomura T, Iizuka N, Ohsako T, Inari T, Hashimoto Y, Takaki R, Fujii K (2013) Scalar tuning of a fluid solver using compact scheme for a supercomputer with a distributed memory architecture. CFD Lett 5:143 Aono H, Nonomura T, Iizuka N, Ohsako T, Inari T, Hashimoto Y, Takaki R, Fujii K (2013) Scalar tuning of a fluid solver using compact scheme for a supercomputer with a distributed memory architecture. CFD Lett 5:143
go back to reference Atcheson B, Heidrich W, Ihrke I (2009) An evaluation of optical flow algorithms for background oriented schlieren imaging. Exp Fluids 46:467–476 Atcheson B, Heidrich W, Ihrke I (2009) An evaluation of optical flow algorithms for background oriented schlieren imaging. Exp Fluids 46:467–476
go back to reference Balaram B, Canham T, Duncan C, Grip HF, Johnson W, Maki J, Quon A, Stern R, Zhu D (2018) Mars helicopter technology demonstrator. In: 2018 AIAA atmospheric flight mechanics conference, p 0023 Balaram B, Canham T, Duncan C, Grip HF, Johnson W, Maki J, Quon A, Stern R, Zhu D (2018) Mars helicopter technology demonstrator. In: 2018 AIAA atmospheric flight mechanics conference, p 0023
go back to reference Cakir BO, Lavagnoli S, Saracoglu BH, Fureby C (2023) Assessment and application of optical flow in background-oriented schlieren for compressible flows. Exp Fluids 64(1):11 Cakir BO, Lavagnoli S, Saracoglu BH, Fureby C (2023) Assessment and application of optical flow in background-oriented schlieren for compressible flows. Exp Fluids 64(1):11
go back to reference Canuto D, Taira K (2015) Two-dimensional compressible viscous flow around a circular cylinder. J Fluid Mech 785:349–371MathSciNetMATH Canuto D, Taira K (2015) Two-dimensional compressible viscous flow around a circular cylinder. J Fluid Mech 785:349–371MathSciNetMATH
go back to reference Caros L, Buxton O, Shigeta T, Nagata T, Nonomura T, Asai K, Vincent P (2021) The effects of domain span and wind tunnel walls on direct numerical simulation of flow over a triangular airfoil under martian atmospheric conditions. AIAA J 60(7):3961–3972 Caros L, Buxton O, Shigeta T, Nagata T, Nonomura T, Asai K, Vincent P (2021) The effects of domain span and wind tunnel walls on direct numerical simulation of flow over a triangular airfoil under martian atmospheric conditions. AIAA J 60(7):3961–3972
go back to reference Chakravarthy S (1984) Relaxation methods for unfactored implicit upwind schemes. In: 22nd aerospace sciences meeting, p 165 Chakravarthy S (1984) Relaxation methods for unfactored implicit upwind schemes. In: 22nd aerospace sciences meeting, p 165
go back to reference Cummings H, Perez BNP, Koning W, Johnson W, Young L, Haddad F, Romander E, Balaram J, Tzanetos T, Bowman J, et al. (2022) Overview and introduction of the rotor optimization for the advancement of Mars exploration (ROAMX) project. In: Aeromechanics for advanced vertical flight technical meeting, transformative vertical flight Cummings H, Perez BNP, Koning W, Johnson W, Young L, Haddad F, Romander E, Balaram J, Tzanetos T, Bowman J, et al. (2022) Overview and introduction of the rotor optimization for the advancement of Mars exploration (ROAMX) project. In: Aeromechanics for advanced vertical flight technical meeting, transformative vertical flight
go back to reference Eckart C, Young G (1936) The approximation of one matrix by another of lower rank. Psychometrika 1(3):211–218MATH Eckart C, Young G (1936) The approximation of one matrix by another of lower rank. Psychometrika 1(3):211–218MATH
go back to reference Erichson NB, Donovan C (2016) Randomized low-rank dynamic mode decomposition for motion detection. Comput Vis Image Underst 146:40–50 Erichson NB, Donovan C (2016) Randomized low-rank dynamic mode decomposition for motion detection. Comput Vis Image Underst 146:40–50
go back to reference Gaitonde DV, Visbal MR (2000) Pade-plusmn;-type higher-order boundary filters for the Navier–Stokes equations. AIAA J 38(11):2103–2112 Gaitonde DV, Visbal MR (2000) Pade-plusmn;-type higher-order boundary filters for the Navier–Stokes equations. AIAA J 38(11):2103–2112
go back to reference Garg S, Settles G (1998) Measurements of a supersonic turbulent boundary layer by focusing schlieren deflectometry. Exp Fluids 25(3):254–264 Garg S, Settles G (1998) Measurements of a supersonic turbulent boundary layer by focusing schlieren deflectometry. Exp Fluids 25(3):254–264
go back to reference Greenberg PS, Klimek RB, Buchele DR (1995) Quantitative rainbow schlieren deflectometry. Appl Opt 34(19):3810–3825 Greenberg PS, Klimek RB, Buchele DR (1995) Quantitative rainbow schlieren deflectometry. Appl Opt 34(19):3810–3825
go back to reference Hansen PC (1999) The L-curve and its use in the numerical treatment of inverse problems Hansen PC (1999) The L-curve and its use in the numerical treatment of inverse problems
go back to reference Hargather MJ, Settles GS (2010) Natural-background-oriented schlieren imaging. Exp Fluids 48:59–68 Hargather MJ, Settles GS (2010) Natural-background-oriented schlieren imaging. Exp Fluids 48:59–68
go back to reference Hargather MJ, Settles GS (2012) A comparison of three quantitative schlieren techniques. Opt Lasers Eng 50(1):8–17 Hargather MJ, Settles GS (2012) A comparison of three quantitative schlieren techniques. Opt Lasers Eng 50(1):8–17
go back to reference Hayasaka K, Tagawa Y, Liu T, Kameda M (2016) Optical-flow-based background-oriented schlieren technique for measuring a laser-induced underwater shock wave. Exp Fluids 57:1–11 Hayasaka K, Tagawa Y, Liu T, Kameda M (2016) Optical-flow-based background-oriented schlieren technique for measuring a laser-induced underwater shock wave. Exp Fluids 57:1–11
go back to reference Herrero AG, Noguchi A, Kusama K, Shigeta T, Nagata T, Nonomura T, Asai K (2021) Effects of compressibility and Reynolds number on the aerodynamics of a simplified corrugated airfoil. Exp Fluids 62(4):1–20 Herrero AG, Noguchi A, Kusama K, Shigeta T, Nagata T, Nonomura T, Asai K (2021) Effects of compressibility and Reynolds number on the aerodynamics of a simplified corrugated airfoil. Exp Fluids 62(4):1–20
go back to reference Hidaka H, Okamoto M (2014) An experimental study of triangular airfoils for mars airplane. Trans Japan Soc Aeronaut Space Sci Aerosp Technol Japan 12(ists29):Pk_21–Pk_27 Hidaka H, Okamoto M (2014) An experimental study of triangular airfoils for mars airplane. Trans Japan Soc Aeronaut Space Sci Aerosp Technol Japan 12(ists29):Pk_21–Pk_27
go back to reference Howes WL (1984) Rainbow schlieren and its applications. Appl Opt 23(14):2449–2460 Howes WL (1984) Rainbow schlieren and its applications. Appl Opt 23(14):2449–2460
go back to reference Iwasaki Y, Nonomura T, Nakai K, Nagata T, Saito Y, Asai K (2022) Evaluation of optimization algorithms and noise robustness of sparsity-promoting dynamic mode decomposition. IEEE Access 10:748–763 Iwasaki Y, Nonomura T, Nakai K, Nagata T, Saito Y, Asai K (2022) Evaluation of optimization algorithms and noise robustness of sparsity-promoting dynamic mode decomposition. IEEE Access 10:748–763
go back to reference Kantrowitz A, Trimpi RL (1950) A sharp-focusing schlieren system. J Aeronaut Sci 17(5):311–314 Kantrowitz A, Trimpi RL (1950) A sharp-focusing schlieren system. J Aeronaut Sci 17(5):311–314
go back to reference Koning WJ, Johnson W, Grip HF (2019) Improved Mars helicopter aerodynamic rotor model for comprehensive analyses. AIAA J 57(9):3969–3979 Koning WJ, Johnson W, Grip HF (2019) Improved Mars helicopter aerodynamic rotor model for comprehensive analyses. AIAA J 57(9):3969–3979
go back to reference Kouchi T, Goyne CP, Rockwell RD, McDaniel JC (2015) Focusing-schlieren visualization in a dual-mode scramjet. Exp Fluids 56:1–14 Kouchi T, Goyne CP, Rockwell RD, McDaniel JC (2015) Focusing-schlieren visualization in a dual-mode scramjet. Exp Fluids 56:1–14
go back to reference Kusama K, Nagata T, Anyoji M, Nonomura T, Asai K (2021) Investigation of mach number effects on flow over a flat plate at reynolds number of \(1.0 \times 10^4\) by schlieren visualization. Fluid Dyn Res 53(1):015,513 Kusama K, Nagata T, Anyoji M, Nonomura T, Asai K (2021) Investigation of mach number effects on flow over a flat plate at reynolds number of \(1.0 \times 10^4\) by schlieren visualization. Fluid Dyn Res 53(1):015,513
go back to reference Kutz JN, Brunton SL, Brunton BW, Proctor JL (2016) Dynamic mode decomposition: data-driven modeling of complex systems, vol 149. SIAM Kutz JN, Brunton SL, Brunton BW, Proctor JL (2016) Dynamic mode decomposition: data-driven modeling of complex systems, vol 149. SIAM
go back to reference Lee C, Ozawa Y, Haga T, Nonomura T, Asai K (2021) Comparison of three-dimensional density distribution of numerical and experimental analysis for twin jets. J Vis 24(6):1173–1188 Lee C, Ozawa Y, Haga T, Nonomura T, Asai K (2021) Comparison of three-dimensional density distribution of numerical and experimental analysis for twin jets. J Vis 24(6):1173–1188
go back to reference Lee C, Ozawa Y, Nagata T, Nonomura T (2023) Superresolution of time-resolved three-dimensional density fields of the B mode in an underexpanded screeching jet. Phys Fluids Lee C, Ozawa Y, Nagata T, Nonomura T (2023) Superresolution of time-resolved three-dimensional density fields of the B mode in an underexpanded screeching jet. Phys Fluids
go back to reference Liu T, Montefort J, Woodiga S, Merati P, Shen L (2008) Global luminescent oil-film skin-friction meter. AIAA J 46(2):476–485 Liu T, Montefort J, Woodiga S, Merati P, Shen L (2008) Global luminescent oil-film skin-friction meter. AIAA J 46(2):476–485
go back to reference Mangeol E, Ishiwaki D, Wallisky N, Asai K, Nonomura T (2017) Compressibility effects on flat-plates with serrated leading-edges at a low Reynolds number. Exp Fluids 58(11):1–15 Mangeol E, Ishiwaki D, Wallisky N, Asai K, Nonomura T (2017) Compressibility effects on flat-plates with serrated leading-edges at a low Reynolds number. Exp Fluids 58(11):1–15
go back to reference Mariani R, Lim H, Zang B, Vevek U, New TH, Cui Y (2020) On the application of non-standard rainbow schlieren technique upon supersonic jets. J Vis 23:383–393 Mariani R, Lim H, Zang B, Vevek U, New TH, Cui Y (2020) On the application of non-standard rainbow schlieren technique upon supersonic jets. J Vis 23:383–393
go back to reference Martínez-González A, Moreno-Hernández D, Guerrero-Viramontes J (2013) Measurement of temperature and velocity fields in a convective fluid flow in air using schlieren images. Appl Opt 52(22):5562–5569 Martínez-González A, Moreno-Hernández D, Guerrero-Viramontes J (2013) Measurement of temperature and velocity fields in a convective fluid flow in air using schlieren images. Appl Opt 52(22):5562–5569
go back to reference Masini L, Timme S, Peace AJ (2019) Reynolds number effects on wing shock buffet unsteadiness. In: AIAA aviation 2019 forum, p 2820 Masini L, Timme S, Peace AJ (2019) Reynolds number effects on wing shock buffet unsteadiness. In: AIAA aviation 2019 forum, p 2820
go back to reference McMasters JH, Henderson ML (1979) Low-speed single-element airfoil synthesis. NASA Langley Res Center The Sci and Technol of Low Speed and Motorless Flight, Pt 1 McMasters JH, Henderson ML (1979) Low-speed single-element airfoil synthesis. NASA Langley Res Center The Sci and Technol of Low Speed and Motorless Flight, Pt 1
go back to reference Meier G (2002) Computerized background-oriented schlieren. Exp Fluids 33(1):181–187 Meier G (2002) Computerized background-oriented schlieren. Exp Fluids 33(1):181–187
go back to reference Morizawa S, Nonomura T, Oyama A, Fujii K, Obayashi S (2018) Effect of Mach number on airfoil characteristics at Reynolds number of 3,000. Trans Japan Soc Aeronaut Space Sci 61(6):258–267 Morizawa S, Nonomura T, Oyama A, Fujii K, Obayashi S (2018) Effect of Mach number on airfoil characteristics at Reynolds number of 3,000. Trans Japan Soc Aeronaut Space Sci 61(6):258–267
go back to reference Mukohara H, Anyoji M (2022) Computational analysis of compressibility effect on flow field and aerodynamics at low Reynolds numbers. Phys Fluids 34(056):109 Mukohara H, Anyoji M (2022) Computational analysis of compressibility effect on flow field and aerodynamics at low Reynolds numbers. Phys Fluids 34(056):109
go back to reference Munday PM, Taira K, Suwa T, Numata D, Asai K (2015) Nonlinear lift on a triangular airfoil in low-Reynolds-number compressible flow. J Aircr 52(3):924–931 Munday PM, Taira K, Suwa T, Numata D, Asai K (2015) Nonlinear lift on a triangular airfoil in low-Reynolds-number compressible flow. J Aircr 52(3):924–931
go back to reference Nagata T, Nonomura T, Takahashi S, Mizuno Y, Fukuda K (2016) Investigation on subsonic to supersonic flow around a sphere at low Reynolds number of between 50 and 300 by direct numerical simulation. Phys Fluids 28(5):056,101 Nagata T, Nonomura T, Takahashi S, Mizuno Y, Fukuda K (2016) Investigation on subsonic to supersonic flow around a sphere at low Reynolds number of between 50 and 300 by direct numerical simulation. Phys Fluids 28(5):056,101
go back to reference Nagata T, Noguchi A, Nonomura T, Ohtani K, Asai K (2019) Experimental investigation of transonic and supersonic flow over a sphere for Reynolds numbers of 10−3–105 by free-flight tests with schlieren visualization. Shock Waves 30(2):139–151 Nagata T, Noguchi A, Nonomura T, Ohtani K, Asai K (2019) Experimental investigation of transonic and supersonic flow over a sphere for Reynolds numbers of 10−3–105 by free-flight tests with schlieren visualization. Shock Waves 30(2):139–151
go back to reference Nagata T, Nonomura T, Ohtani K, Asai K (2022) Schlieren visualization and motion analysis of an isolated and clustered particle(s) after interacting with planar shock. Trans Japan Soc Aeronaut Space Sci 65(4):185–194 Nagata T, Nonomura T, Ohtani K, Asai K (2022) Schlieren visualization and motion analysis of an isolated and clustered particle(s) after interacting with planar shock. Trans Japan Soc Aeronaut Space Sci 65(4):185–194
go back to reference Nair AG, Strom B, Brunton BW, Brunton SL (2020) Phase-consistent dynamic mode decomposition from multiple overlapping spatial domains. Phys Rev Fluids 5(7):074,702 Nair AG, Strom B, Brunton BW, Brunton SL (2020) Phase-consistent dynamic mode decomposition from multiple overlapping spatial domains. Phys Rev Fluids 5(7):074,702
go back to reference Nishida H, Nonomura T (2009) ADI-SGS scheme on ideal magnetohydrodynamics. J Comput Phys 228:3182–3188MATH Nishida H, Nonomura T (2009) ADI-SGS scheme on ideal magnetohydrodynamics. J Comput Phys 228:3182–3188MATH
go back to reference Nonomura T, Shibata H, Takaki R (2018) Dynamic mode decomposition using a Kalman filter for parameter estimation. AIP Adv 8(105):106 Nonomura T, Shibata H, Takaki R (2018) Dynamic mode decomposition using a Kalman filter for parameter estimation. AIP Adv 8(105):106
go back to reference Nonomura T, Shibata H, Takaki R (2019) Extended-kalman-filter-based dynamic mode decomposition for simultaneous system identification and denoising. PloS one 14(2):e0209,836 Nonomura T, Shibata H, Takaki R (2019) Extended-kalman-filter-based dynamic mode decomposition for simultaneous system identification and denoising. PloS one 14(2):e0209,836
go back to reference Nonomura T, Nankai K, Iwasaki Y, Komuro A, Asai K (2021) Quantitative evaluation of predictability of linear reduced-order model based on particle-image-velocimetry data of separated flow field around airfoil. Exp Fluids 62:112 Nonomura T, Nankai K, Iwasaki Y, Komuro A, Asai K (2021) Quantitative evaluation of predictability of linear reduced-order model based on particle-image-velocimetry data of separated flow field around airfoil. Exp Fluids 62:112
go back to reference Ohmichi Y (2017) Preconditioned dynamic mode decomposition and mode selection algorithms for large datasets using incremental proper orthogonal decomposition. AIP Adv 7(7):075,318 Ohmichi Y (2017) Preconditioned dynamic mode decomposition and mode selection algorithms for large datasets using incremental proper orthogonal decomposition. AIP Adv 7(7):075,318
go back to reference Ohmichi Y, Ishida T, Hashimoto A (2018) Modal decomposition analysis of three-dimensional transonic buffet phenomenon on a swept wing. AIAA J 56(10):3938–3950 Ohmichi Y, Ishida T, Hashimoto A (2018) Modal decomposition analysis of three-dimensional transonic buffet phenomenon on a swept wing. AIAA J 56(10):3938–3950
go back to reference Ohmichi Y, Kobayashi K, Kanazaki M (2019) Numerical investigation of wake structures of an atmospheric entry capsule by modal analysis. Phys Fluids 31(7):074,105 Ohmichi Y, Kobayashi K, Kanazaki M (2019) Numerical investigation of wake structures of an atmospheric entry capsule by modal analysis. Phys Fluids 31(7):074,105
go back to reference Okada K, Aono H, Nonomura T, Kawai S, Fujii K (2016) Effects of time step and convergence rate of implicit scheme on unsteady compressible flow analyses. In: Proceedings of 28th international conference on parallel computational fluid dynamics Okada K, Aono H, Nonomura T, Kawai S, Fujii K (2016) Effects of time step and convergence rate of implicit scheme on unsteady compressible flow analyses. In: Proceedings of 28th international conference on parallel computational fluid dynamics
go back to reference O’Meara B, Bedick C, Ferguson DH (2018) Experimental investigation of a shock wave using calibrated schlieren images. In: 2018 joint propulsion conference, p 4686 O’Meara B, Bedick C, Ferguson DH (2018) Experimental investigation of a shock wave using calibrated schlieren images. In: 2018 joint propulsion conference, p 4686
go back to reference Rolandi LV, Jardin T, Fontane J, Gressier J, Joly L (2022) Stability of the low Reynolds number compressible flow past a naca0012 airfoil. AIAA J 60(2):1052–1066 Rolandi LV, Jardin T, Fontane J, Gressier J, Joly L (2022) Stability of the low Reynolds number compressible flow past a naca0012 airfoil. AIAA J 60(2):1052–1066
go back to reference Sansica A, Robinet JC, Alizard F, Goncalves E (2018) Three-dimensional instability of a flow past a sphere: Mach evolution of the regular and Hopf bifurcations. J Fluid Mech 855:1088–1115MathSciNetMATH Sansica A, Robinet JC, Alizard F, Goncalves E (2018) Three-dimensional instability of a flow past a sphere: Mach evolution of the regular and Hopf bifurcations. J Fluid Mech 855:1088–1115MathSciNetMATH
go back to reference Sansica A, Ohmichi Y, Robinet JC, Hashimoto A (2020) Laminar supersonic sphere wake unstable bifurcations. Phys Fluids 32(12):107–126 Sansica A, Ohmichi Y, Robinet JC, Hashimoto A (2020) Laminar supersonic sphere wake unstable bifurcations. Phys Fluids 32(12):107–126
go back to reference Sato M, Okada K, Asada K, Aono H, Nonomura T, Fujii K (2020) Unified mechanisms for separation control around airfoil using plasma actuator with burst actuation over Reynolds number range of 103–106. Phys Fluids 32(2):025,102 https://doi.org/10.1063/1.5136072 Sato M, Okada K, Asada K, Aono H, Nonomura T, Fujii K (2020) Unified mechanisms for separation control around airfoil using plasma actuator with burst actuation over Reynolds number range of 103–106. Phys Fluids 32(2):025,102 https://​doi.​org/​10.​1063/​1.​5136072
go back to reference Schmidt BE, Woike MR (2021) Wavelet-based optical flow analysis for background-oriented schlieren image processing. AIAA J 59(8):3209–3216 Schmidt BE, Woike MR (2021) Wavelet-based optical flow analysis for background-oriented schlieren image processing. AIAA J 59(8):3209–3216
go back to reference Settles GS (2001) Schlieren and shadowgraph techniques. SpringerMATH Settles GS (2001) Schlieren and shadowgraph techniques. SpringerMATH
go back to reference Shigeta T, Nagata T, Nonomura T, Asai K (2022) Enhancement of the signal-to-noise ratio of schlieren visualization measurements in low-density wind tunnel tests using modal decomposition. J Vis 25:697–712 Shigeta T, Nagata T, Nonomura T, Asai K (2022) Enhancement of the signal-to-noise ratio of schlieren visualization measurements in low-density wind tunnel tests using modal decomposition. J Vis 25:697–712
go back to reference Shimazaki T, Ichihara S, Tagawa Y (2022) Background oriented schlieren technique with fast Fourier demodulation for measuring large density-gradient fields of fluids. Exp Thermal Fluid Sci 134(110):598 Shimazaki T, Ichihara S, Tagawa Y (2022) Background oriented schlieren technique with fast Fourier demodulation for measuring large density-gradient fields of fluids. Exp Thermal Fluid Sci 134(110):598
go back to reference Sourgen F, Leopold F, Klatt D (2012) Reconstruction of the density field using the colored background oriented schlieren technique (cbos). Opt Lasers Eng 50(1):29–38 Sourgen F, Leopold F, Klatt D (2012) Reconstruction of the density field using the colored background oriented schlieren technique (cbos). Opt Lasers Eng 50(1):29–38
go back to reference Sugioka Y, Kouchi T, Koike S (2022) Experimental comparison of shock buffet on unswept and 10-deg swept wings. Exp Fluids 63(8):132 Sugioka Y, Kouchi T, Koike S (2022) Experimental comparison of shock buffet on unswept and 10-deg swept wings. Exp Fluids 63(8):132
go back to reference Sugisaki H, Lee C, Ozawa Y, Nakai K, Saito Y, Nonomura T, Asai K, Matsuda Y (2022) Single-pixel correlation applied to background-oriented schlieren measurement. Exp Fluids 63(1):1–7 Sugisaki H, Lee C, Ozawa Y, Nakai K, Saito Y, Nonomura T, Asai K, Matsuda Y (2022) Single-pixel correlation applied to background-oriented schlieren measurement. Exp Fluids 63(1):1–7
go back to reference Tanahashi M, Ootsu M, Fukushima M, Miyauchi T (2002) Measurement of coherent fine scale eddies in turbulent mixing layer by dpiv. In: Engineering turbulence modelling and experiments 5, Elsevier, pp 525–534 Tanahashi M, Ootsu M, Fukushima M, Miyauchi T (2002) Measurement of coherent fine scale eddies in turbulent mixing layer by dpiv. In: Engineering turbulence modelling and experiments 5, Elsevier, pp 525–534
go back to reference Vaisakh S, Muruganandam T (2019) Schlieren tomography to visualize three-dimensional supersonic flows. In: 31st International symposium on shock waves 1: fundamentals 31, Springer, pp 421–428 Vaisakh S, Muruganandam T (2019) Schlieren tomography to visualize three-dimensional supersonic flows. In: 31st International symposium on shock waves 1: fundamentals 31, Springer, pp 421–428
go back to reference Vitkovicova R, Yokoi Y, Hyhlik T (2020) Identification of structures and mechanisms in a flow field by pod analysis for input data obtained from visualization and piv. Exp Fluids 61:1–21 Vitkovicova R, Yokoi Y, Hyhlik T (2020) Identification of structures and mechanisms in a flow field by pod analysis for input data obtained from visualization and piv. Exp Fluids 61:1–21
go back to reference Weinstein L (1991) An improved large-field focusing schlieren system. In: 29th aerospace sciences meeting, p 567 Weinstein L (1991) An improved large-field focusing schlieren system. In: 29th aerospace sciences meeting, p 567
go back to reference Weinstein LM (1993) Large-field high-brightness focusing schlieren system. AIAA J 31(7):1250–1255 Weinstein LM (1993) Large-field high-brightness focusing schlieren system. AIAA J 31(7):1250–1255
go back to reference Weisberger JM, Bathel BF (2022) Projection background-oriented schlieren. Appl Opt 61(20):6006–6015 Weisberger JM, Bathel BF (2022) Projection background-oriented schlieren. Appl Opt 61(20):6006–6015
go back to reference Withrow S, Johnson W, Young LA, Koning W, Kuang W, Malpica C, Balaram J, Tzanetos T (2020) Mars science helicopter conceptual design. In: ASCEND 2020, p 4029 Withrow S, Johnson W, Young LA, Koning W, Kuang W, Malpica C, Balaram J, Tzanetos T (2020) Mars science helicopter conceptual design. In: ASCEND 2020, p 4029
Metadata
Title
Density field reconstruction from time-series schlieren images via extended phase-consistent dynamic mode decomposition
Authors
Tsuyoshi Shigeta
Takayuki Nagata
Taku Nonomura
Publication date
01-07-2023
Publisher
Springer Berlin Heidelberg
Published in
Experiments in Fluids / Issue 7/2023
Print ISSN: 0723-4864
Electronic ISSN: 1432-1114
DOI
https://doi.org/10.1007/s00348-023-03668-x

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