Skip to main content
Top
Published in: Experiments in Fluids 4/2021

01-04-2021 | Research Article

Pulsed jet phase-averaged flow field estimation based on neural network approach

Authors: Céletin Ott, Charles Pivot, Pierre Dubois, Quentin Gallas, Jérôme Delva, Marc Lippert, Laurent Keirsbulck

Published in: Experiments in Fluids | Issue 4/2021

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Single hot-wire velocity measurements have been conducted along a three-dimensional measurement grid to capture the flow-field induced by a 45\(^\circ\)   inclined slotted pulsed jet. Based on the periodic behavior of the flow, two different estimation methods have been implemented. The first one, considered as the reference baseline, is the conditional approach which consists in the redistribution of the experimental data into space- and time-resolved three-dimensional velocity fields. The second one uses a neural network to estimate 3D velocity fields given spatial coordinates and time. This paper compares the two methods for a complete flow-field estimation based on hot-wire measurements. Results suggest that the neural network is tailored to capture the phase-averaged dynamic response of the jet induced by the actuator, and identify the coherent structures in the flow field. Interesting performances are also observed when degrading the learning database, meaning that neural networks can be used to drastically improve the temporal or spatial resolution of a flow field estimation compared to the experimental data resolution.

Graphic abstract

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Literature
go back to reference Adrian RJ (1979) Conditional eddies in isotropic turbulence. Phys Fluids 22(11):2065–2070CrossRef Adrian RJ (1979) Conditional eddies in isotropic turbulence. Phys Fluids 22(11):2065–2070CrossRef
go back to reference Aeschlimann V, Barre S, Djeridi H (2013) Cavitation analysis using phase averaging and conditional approaches in a 2D venturi flow. Open J Fluid Dyn 03(03):171–183CrossRef Aeschlimann V, Barre S, Djeridi H (2013) Cavitation analysis using phase averaging and conditional approaches in a 2D venturi flow. Open J Fluid Dyn 03(03):171–183CrossRef
go back to reference Béra JC, Michard M, Grosjean N, Comte-Bellot G (2001) Flow analysis of two-dimensional pulsed jets by particle image velocimetry. Exp Fluids 31(5):519–532CrossRef Béra JC, Michard M, Grosjean N, Comte-Bellot G (2001) Flow analysis of two-dimensional pulsed jets by particle image velocimetry. Exp Fluids 31(5):519–532CrossRef
go back to reference Bisgaard C (1983) Velocity fields around spheres and bubbles investigated by laser-doppler anemometry. J Non-Newtonian Fluid Mech 12(3):283–302CrossRef Bisgaard C (1983) Velocity fields around spheres and bubbles investigated by laser-doppler anemometry. J Non-Newtonian Fluid Mech 12(3):283–302CrossRef
go back to reference Bonnet JP, Cole DR, Delville J, Glauser MN, Ukeiley LS (1994) Stochastic estimation and proper orthogonal decomposition: complementary techniques for identifying structure. Exp Fluids 17(5):307–314CrossRef Bonnet JP, Cole DR, Delville J, Glauser MN, Ukeiley LS (1994) Stochastic estimation and proper orthogonal decomposition: complementary techniques for identifying structure. Exp Fluids 17(5):307–314CrossRef
go back to reference Bright I, Lin G, Kutz JN (2013) Compressive sensing based machine learning strategy for characterizing the flow around a cylinder with limited pressure measurements. Phys Fluids 25(12):127102CrossRef Bright I, Lin G, Kutz JN (2013) Compressive sensing based machine learning strategy for characterizing the flow around a cylinder with limited pressure measurements. Phys Fluids 25(12):127102CrossRef
go back to reference Callaham JL, Maeda K, Brunton SL (2019) Robust flow reconstruction from limited measurements via sparse representation. Phys Rev Fluids 4(10):103907CrossRef Callaham JL, Maeda K, Brunton SL (2019) Robust flow reconstruction from limited measurements via sparse representation. Phys Rev Fluids 4(10):103907CrossRef
go back to reference Cambonie T, Aider JL (2014) Transition scenario of the round jet in crossflow topology at low velocity ratios. Phys Fluids 26(8):084101CrossRef Cambonie T, Aider JL (2014) Transition scenario of the round jet in crossflow topology at low velocity ratios. Phys Fluids 26(8):084101CrossRef
go back to reference Cambonie T, Gautier N, Aider JL (2013) Experimental study of counter-rotating vortex pair trajectories induced by a round jet in cross-flow at low velocity ratios. Exp Fluids 54(3):1–3CrossRef Cambonie T, Gautier N, Aider JL (2013) Experimental study of counter-rotating vortex pair trajectories induced by a round jet in cross-flow at low velocity ratios. Exp Fluids 54(3):1–3CrossRef
go back to reference Chovet C, Lippert M, Keirsbulck L, Foucaut JM (2016) Dynamic characterization of piezoelectric micro-blowers for separation flow control. Sens Actuat A: Phys 249:122–130CrossRef Chovet C, Lippert M, Keirsbulck L, Foucaut JM (2016) Dynamic characterization of piezoelectric micro-blowers for separation flow control. Sens Actuat A: Phys 249:122–130CrossRef
go back to reference Chovet C, Lippert M, Foucaut JM, Keirsbulck L (2017) Dynamical aspects of a backward-facing step flow at large Reynolds numbers. Exp Fluids 58(11):1–15CrossRef Chovet C, Lippert M, Foucaut JM, Keirsbulck L (2017) Dynamical aspects of a backward-facing step flow at large Reynolds numbers. Exp Fluids 58(11):1–15CrossRef
go back to reference Cole DR, Glausen MN (1998) Applications of stochastic estimation in the axisymmetric sudden expansion. Phys Fluids 10(11):2941–2949CrossRef Cole DR, Glausen MN (1998) Applications of stochastic estimation in the axisymmetric sudden expansion. Phys Fluids 10(11):2941–2949CrossRef
go back to reference Dubois P, Gomez T, Planckaert L, Perret L (2020) Data-driven predictions of the Lorenz system. Phys D: Nonlinear Phenom 408:132495MathSciNetCrossRef Dubois P, Gomez T, Planckaert L, Perret L (2020) Data-driven predictions of the Lorenz system. Phys D: Nonlinear Phenom 408:132495MathSciNetCrossRef
go back to reference Emerick TM, Ali MY, Foster CH, Alvi FS, Popkin SH, Cybyk BZ (2012) SparkJet actuator characterization in supersonic crossflow. In: 6th AIAA Flow Control Conference 2012 Emerick TM, Ali MY, Foster CH, Alvi FS, Popkin SH, Cybyk BZ (2012) SparkJet actuator characterization in supersonic crossflow. In: 6th AIAA Flow Control Conference 2012
go back to reference Eroglu A, Breidenthal RE (2001) Structure, penetration, and mixing of pulsed jets in crossflow. AIAA J 39(3):417–423CrossRef Eroglu A, Breidenthal RE (2001) Structure, penetration, and mixing of pulsed jets in crossflow. AIAA J 39(3):417–423CrossRef
go back to reference Fadla F, Graziani A, Kerherve F, Mathis R, Lippert M, Uystepruyst D, Keirsbulck L (2016) Electrochemical measurements for real-time stochastic reconstruction of large-scale dynamics of a separated flow. J Fluids Eng Trans ASME 138(12) Fadla F, Graziani A, Kerherve F, Mathis R, Lippert M, Uystepruyst D, Keirsbulck L (2016) Electrochemical measurements for real-time stochastic reconstruction of large-scale dynamics of a separated flow. J Fluids Eng Trans ASME 138(12)
go back to reference Fernandez P, Delva J, Ott C, Maier P, Gallas Q (2018) Experimental measurement benchmark for compressible fluidic unsteady jet. Actuators 7(3):58CrossRef Fernandez P, Delva J, Ott C, Maier P, Gallas Q (2018) Experimental measurement benchmark for compressible fluidic unsteady jet. Actuators 7(3):58CrossRef
go back to reference Foucaut JM, Coudert S, Stanislas M (2009) Unsteady characteristics of near-wall turbulence using high repetition stereoscopic particle image velocimetry (PIV). Meas Sci Technol 20(7):074004CrossRef Foucaut JM, Coudert S, Stanislas M (2009) Unsteady characteristics of near-wall turbulence using high repetition stereoscopic particle image velocimetry (PIV). Meas Sci Technol 20(7):074004CrossRef
go back to reference Goodfellow IJ, Shlens J, Szegedy C (2015) Explaining and harnessing adversarial examples. In: 3rd International Conference on Learning Representations Goodfellow IJ, Shlens J, Szegedy C (2015) Explaining and harnessing adversarial examples. In: 3rd International Conference on Learning Representations
go back to reference Guezennec YG, Choi WC (1988) Stochastic estimation of coherent structures in turbulent boundary layers. In: Proceedings of the International Centre for Heat and Mass Transfer, pp 453–468 Guezennec YG, Choi WC (1988) Stochastic estimation of coherent structures in turbulent boundary layers. In: Proceedings of the International Centre for Heat and Mass Transfer, pp 453–468
go back to reference Haack SJ, Land HB, Cybyk B, Ko HS, Katz J (2008) Characterization of a high-speed flow control actuator using digital speckle tomography and PIV. In: 4th AIAA Flow Control Conference Haack SJ, Land HB, Cybyk B, Ko HS, Katz J (2008) Characterization of a high-speed flow control actuator using digital speckle tomography and PIV. In: 4th AIAA Flow Control Conference
go back to reference Hamwood J, Alonso-Caneiro D, Read SA, Vincent SJ, Collins MJ (2018) Effect of patch size and network architecture on a convolutional neural network approach for automatic segmentation of OCT retinal layers. Biomed Opt Exp 9(7):3049CrossRef Hamwood J, Alonso-Caneiro D, Read SA, Vincent SJ, Collins MJ (2018) Effect of patch size and network architecture on a convolutional neural network approach for automatic segmentation of OCT retinal layers. Biomed Opt Exp 9(7):3049CrossRef
go back to reference Hardy P, Barricau P, Belinger A, Caruana D, Cambronne JP, Gleyzes C (2010) Plasma synthetic jet for flow control. In: 40th AIAA Fluid Dynamics Conference Hardy P, Barricau P, Belinger A, Caruana D, Cambronne JP, Gleyzes C (2010) Plasma synthetic jet for flow control. In: 40th AIAA Fluid Dynamics Conference
go back to reference Hudy LM, Naguib A, Humphreys WM (2006) Stochastic estimation of a separated-flow field using wall-pressure-array measurements. Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting 18:13520–13541 Hudy LM, Naguib A, Humphreys WM (2006) Stochastic estimation of a separated-flow field using wall-pressure-array measurements. Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting 18:13520–13541
go back to reference Idrissi MAJ, Ramchoun H, Ghanou Y, Ettaouil M (2016) Genetic algorithm for neural network architecture optimization. In: Proceedings of the 3rd IEEE International Conference on Logistics Operations Management, GOL 2016 Idrissi MAJ, Ramchoun H, Ghanou Y, Ettaouil M (2016) Genetic algorithm for neural network architecture optimization. In: Proceedings of the 3rd IEEE International Conference on Logistics Operations Management, GOL 2016
go back to reference Jin X, Cheng P, Chen WL, Li H (2018) Prediction model of velocity field around circular cylinder over various Reynolds numbers by fusion convolutional neural networks based on pressure on the cylinder. Phys Fluids 30(4):047105CrossRef Jin X, Cheng P, Chen WL, Li H (2018) Prediction model of velocity field around circular cylinder over various Reynolds numbers by fusion convolutional neural networks based on pressure on the cylinder. Phys Fluids 30(4):047105CrossRef
go back to reference Jin X, Laima S, Chen WL, Li H (2020) Time-resolved reconstruction of flow field around a circular cylinder by recurrent neural networks based on non-time-resolved particle image velocimetry measurements. Exp Fluids 61(4):1–23CrossRef Jin X, Laima S, Chen WL, Li H (2020) Time-resolved reconstruction of flow field around a circular cylinder by recurrent neural networks based on non-time-resolved particle image velocimetry measurements. Exp Fluids 61(4):1–23CrossRef
go back to reference Keras (2018) Guide to the Sequential model—Keras Documentation Keras (2018) Guide to the Sequential model—Keras Documentation
go back to reference Kotu V, Deshpande B (2019) Deep learning. Data. Science 521:307–342 Kotu V, Deshpande B (2019) Deep learning. Data. Science 521:307–342
go back to reference Kovasznay LSG (1949) Hot-wire investigation of the wake behind cylinders at low Reynolds numbers. Proc R Soc Lond Ser A Math Phys Sci 198(1053):174–190 Kovasznay LSG (1949) Hot-wire investigation of the wake behind cylinders at low Reynolds numbers. Proc R Soc Lond Ser A Math Phys Sci 198(1053):174–190
go back to reference Lakshminarayanan B, Pritzel A, Blundell C (2016) Simple and scalable predictive uncertainty estimation using deep ensembles. Cornell University, Cornell Lakshminarayanan B, Pritzel A, Blundell C (2016) Simple and scalable predictive uncertainty estimation using deep ensembles. Cornell University, Cornell
go back to reference Lee S, You D (2019) Data-driven prediction of unsteady flow over a circular cylinder using deep learning. J Fluid Mech 879:217–254MathSciNetCrossRef Lee S, You D (2019) Data-driven prediction of unsteady flow over a circular cylinder using deep learning. J Fluid Mech 879:217–254MathSciNetCrossRef
go back to reference Li Y, Chang J, Kong C, Wang Z (2020) Flow field reconstruction and prediction of the supersonic cascade channel based on a symmetry neural network under complex and variable conditions. AIP Adv 10(6):065116CrossRef Li Y, Chang J, Kong C, Wang Z (2020) Flow field reconstruction and prediction of the supersonic cascade channel based on a symmetry neural network under complex and variable conditions. AIP Adv 10(6):065116CrossRef
go back to reference Li Y, Allen-Zhu Z (2019) What can resnet learn efficiently, going beyond kernels? In: 33rd Conference on Neural Information Processing Systems Li Y, Allen-Zhu Z (2019) What can resnet learn efficiently, going beyond kernels? In: 33rd Conference on Neural Information Processing Systems
go back to reference Murray NE, Ukeiley LS (2003) Estimation of the flowfield from surface pressure measurements in an open cavity. AIAA J 41(5):969–972CrossRef Murray NE, Ukeiley LS (2003) Estimation of the flowfield from surface pressure measurements in an open cavity. AIAA J 41(5):969–972CrossRef
go back to reference Olchewsky F, Desse JM, Donjat D, Champagnat F (2019) Vertical digital holographic bench for under expanded jet gas density reconstruction. Digital holography and 3D imaging, p Th2B.3 Olchewsky F, Desse JM, Donjat D, Champagnat F (2019) Vertical digital holographic bench for under expanded jet gas density reconstruction. Digital holography and 3D imaging, p Th2B.3
go back to reference Ostermann F, Woszidlo R, Nayeri CN, Paschereit CO (2015) Phase-averaging methods for the natural flowfield of a fluidic oscillator. AIAA J 53(8):2359–2368CrossRef Ostermann F, Woszidlo R, Nayeri CN, Paschereit CO (2015) Phase-averaging methods for the natural flowfield of a fluidic oscillator. AIAA J 53(8):2359–2368CrossRef
go back to reference Ostermann F, Godbersen P, Woszidlo R, Nayeri CN, Paschereit CO (2017) Sweeping jet from a fluidic oscillator in crossflow. Phys Rev Fluids 2(9):90512CrossRef Ostermann F, Godbersen P, Woszidlo R, Nayeri CN, Paschereit CO (2017) Sweeping jet from a fluidic oscillator in crossflow. Phys Rev Fluids 2(9):90512CrossRef
go back to reference Ott C (2020) Space-time resolved fluidic actuators characterization, and experimental identification of the physical mechanisms involved in their interaction with a boundary layer. PhD Thesis Ott C (2020) Space-time resolved fluidic actuators characterization, and experimental identification of the physical mechanisms involved in their interaction with a boundary layer. PhD Thesis
go back to reference Ott C, Gallas Q, Delva J, Lippert M, Keirsbulck L (2019a) High frequency characterization of a sweeping jet actuator. Sens Actuat A: Phys 291:39–47CrossRef Ott C, Gallas Q, Delva J, Lippert M, Keirsbulck L (2019a) High frequency characterization of a sweeping jet actuator. Sens Actuat A: Phys 291:39–47CrossRef
go back to reference Ott C, Gallas Q, Delva J, Lippert M, Keirsbulck L (2019b) Interaction between a jet and a turbulent boundary layer. In: AIAA AVIATION Forum, Dallas, USA Ott C, Gallas Q, Delva J, Lippert M, Keirsbulck L (2019b) Interaction between a jet and a turbulent boundary layer. In: AIAA AVIATION Forum, Dallas, USA
go back to reference Poelma C, Mari JM, Foin N, Tang MX, Krams R, Caro CG, Weinberg PD, Westerweel J (2011) 3D Flow reconstruction using ultrasound PIV. Exp Fluids 50(4):777–785CrossRef Poelma C, Mari JM, Foin N, Tang MX, Krams R, Caro CG, Weinberg PD, Westerweel J (2011) 3D Flow reconstruction using ultrasound PIV. Exp Fluids 50(4):777–785CrossRef
go back to reference Raissi M, Perdikaris P, Karniadakis GE (2019) Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. J Comput Phys 378:686–707MathSciNetCrossRef Raissi M, Perdikaris P, Karniadakis GE (2019) Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. J Comput Phys 378:686–707MathSciNetCrossRef
go back to reference Ramachandran P, Barret Z, Le QV (2018) Searching for activation functions. In: 6th International Conference on Learning Representations, ICLR 2018—Workshop Track Proceedings Ramachandran P, Barret Z, Le QV (2018) Searching for activation functions. In: 6th International Conference on Learning Representations, ICLR 2018—Workshop Track Proceedings
go back to reference Sau R, Mahesh K (2010) Optimization of pulsed jets in crossflow. J Fluid Mech 653:365–390CrossRef Sau R, Mahesh K (2010) Optimization of pulsed jets in crossflow. J Fluid Mech 653:365–390CrossRef
go back to reference Schaeffler NW, Hepnery TE, Jones GS, Kegerise MA (2002) Overview of active flow control actuator development at NASA Langley research center. In: 1st Flow Control Conference Schaeffler NW, Hepnery TE, Jones GS, Kegerise MA (2002) Overview of active flow control actuator development at NASA Langley research center. In: 1st Flow Control Conference
go back to reference Soria J, Atkinson C (2008) Towards 3C–3D digital holographic fluid velocity vector field measurement—tomographic digital holographic PIV (Tomo-HPIV). Meas Sci Technol 19(7):074002CrossRef Soria J, Atkinson C (2008) Towards 3C–3D digital holographic fluid velocity vector field measurement—tomographic digital holographic PIV (Tomo-HPIV). Meas Sci Technol 19(7):074002CrossRef
go back to reference Sun L, Gao H, Pan S, Wang JX (2020) Surrogate modeling for fluid flows based on physics-constrained deep learning without simulation data. Comput Methods Appl Mech Eng 361:112732MathSciNetCrossRef Sun L, Gao H, Pan S, Wang JX (2020) Surrogate modeling for fluid flows based on physics-constrained deep learning without simulation data. Comput Methods Appl Mech Eng 361:112732MathSciNetCrossRef
go back to reference Sun K, Xiao B, Liu D, Wang J (2019) Deep high-resolution representation learning for human pose estimation. In: CVPR California Sun K, Xiao B, Liu D, Wang J (2019) Deep high-resolution representation learning for human pose estimation. In: CVPR California
go back to reference Szegedy C, Zaremba W, Sutskever I, Bruna J, Erhan D, Goodfellow I, Fergus R (2014) Intriguing properties of neural networks. In: 2nd International Conference on Learning Representations, ICLR 2014 - Conference Track Proceedings Szegedy C, Zaremba W, Sutskever I, Bruna J, Erhan D, Goodfellow I, Fergus R (2014) Intriguing properties of neural networks. In: 2nd International Conference on Learning Representations, ICLR 2014 - Conference Track Proceedings
go back to reference Turing AM (1950) Computing machinery and intelligence. Philosophical and Methodological Issues in the Quest for the Thinking Computer, Parsing the Turing Test, pp 23–65 Turing AM (1950) Computing machinery and intelligence. Philosophical and Methodological Issues in the Quest for the Thinking Computer, Parsing the Turing Test, pp 23–65
go back to reference Vernet R, Thomas L, David L (2009) Analysis and reconstruction of a pulsed jet in crossflow by multi-plane snapshot POD. Exp Fluids 47:707–720CrossRef Vernet R, Thomas L, David L (2009) Analysis and reconstruction of a pulsed jet in crossflow by multi-plane snapshot POD. Exp Fluids 47:707–720CrossRef
go back to reference Williams DR, MacMynowski DG (2012) Brief history of flow control. In: Fundamentals and Applications of Modern Flow Control, pp 1–20 Williams DR, MacMynowski DG (2012) Brief history of flow control. In: Fundamentals and Applications of Modern Flow Control, pp 1–20
go back to reference Zaman KB, McKinzie DJ, Rumsey CL (1989) A natural low-frequency oscillation of the flow over an airfoil near stalling conditions. J Fluid Mech 202(403):403–442CrossRef Zaman KB, McKinzie DJ, Rumsey CL (1989) A natural low-frequency oscillation of the flow over an airfoil near stalling conditions. J Fluid Mech 202(403):403–442CrossRef
Metadata
Title
Pulsed jet phase-averaged flow field estimation based on neural network approach
Authors
Céletin Ott
Charles Pivot
Pierre Dubois
Quentin Gallas
Jérôme Delva
Marc Lippert
Laurent Keirsbulck
Publication date
01-04-2021
Publisher
Springer Berlin Heidelberg
Published in
Experiments in Fluids / Issue 4/2021
Print ISSN: 0723-4864
Electronic ISSN: 1432-1114
DOI
https://doi.org/10.1007/s00348-021-03180-0

Other articles of this Issue 4/2021

Experiments in Fluids 4/2021 Go to the issue

Premium Partners