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Low-dimensional and data fusion techniques applied to a supersonic multistream single expansion ramp nozzle

Matthew G. Berry1,*, Cory M. Stack2,†, Andrew S. Magstadt1,‡, Mohd Y. Ali1,§, Datta V. Gaitonde2,∥, and Mark N. Glauser1,¶

  • 1Department of Mechanical & Aerospace Engineering, Syracuse University, Syracuse, New York 13210, USA
  • 2Department of Mechanical & Aerospace Engineering, The Ohio State University, Columbus, Ohio 43210, USA

  • *mgberry@syr.edu
  • †stack.49@osu.edu
  • ‡Present address: Aeronautical Engineer Lockheed Martin Palmdale, CA 93550; Andrew.s.magstadt@ lmco.com
  • §mali06@syr.edu
  • ∥gaitonde.3@osu.edu
  • mglauser@syr.edu
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Phys. Rev. Fluids 2, 100504 – Published 17 October, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.100504

Abstract

Low-dimensional models of experimental and simulation data for a complex supersonic jet were fused to reconstruct time-dependent proper orthogonal decomposition (POD) coefficients. The jet consists of a multistream rectangular single expansion ramp nozzle, containing a core stream operating at Mach number Mj,1=1.6 and bypass stream at Mj,3=1.0 with an underlying deck. Proper orthogonal decomposition was applied to schlieren and particle image velocimetry data to acquire the spatial basis functions. These eigenfunctions were projected onto their corresponding time-dependent large-eddy simulation (LES) fields to reconstruct the temporal POD coefficients. This reconstruction was able to resolve spectral peaks that were previously aliased due to the slower sampling rates of the experiments. Additionally, dynamic mode decomposition was applied to the experimental and LES data sets and the spatiotemporal characteristics were compared to POD.

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2017 Invited Papers

Physical Review Fluids publishes a collection of papers associated with the invited talks presented at the 69th Annual Meeting of the APS Division of Fluid Dynamics.

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References (56)

  1. J. L. Lumley, The structure of inhomogeneous turbulent flows, in Atmospheric Turbulence and Radio Wave Propagation, edited by A. M. Yaglom and V. I. Tatarsky (Nauka, Moscow, 1967), pp. 166–178.
  2. N. Aubry, P. Holmes, J. L. Lumley, and E. Stone, The dynamics of coherent structures in the wall region of a turbulent boundary layer, J. Fluid Mech. 192, 115 (1988).
  3. M. N. Glauser, S. J. Leib, and W. K. George, Coherent structures in axisymmetric turbulent jet mixing layer, Turbul. Shear Flows 5, 134 (1987).
  4. P. Moin and R. D. Moser, Characteristic eddy decomposition of turbulence in a channel, J. Fluid Mech. 200, 471 (1989).
  5. G. Berkooz, P. Holmes, and J. L Lumley, The proper orthogonal decomposition in the analysis of turbulent flows, Annu. Rev. Fluid Mech. 25, 539 (1993).
  6. L. Ukeiley, L. Cordier, R. Manceau, J. Delville, M. Glauser, and J.-P. Bonnet, Examination of large-scale structures in a turbulent plane mixing layer. Part 2. Dynamical systems model, J. Fluid Mech. 441, 67 (2001).
  7. R. J. Adrian, On the role of conditional averages in turbulence theory, in Proceedings of the Fourth Biennial Symposium on Turbulence in Liquids (Science, Princeton, 1977), Vol. 66, pp. 323–332.
  8. R. J. Adrian, Particle-imaging techniques for experimental fluid mechanics, Annu. Rev. Fluid Mech. 23, 261 (1991).
  9. D. R. Cole, M. N. Glauser, and Y. G. Guezennec, An application of the stochastic estimation to the jet mixing layer, Phys. Fluids A 4, 192 (1992).
  10. L. Ukeiley, M. Glauser, and D. Wick, Downstream evolution of POD eigenfunctions in a lobed mixer, AIAA J. 31, 1392 (1993).
  11. J. P. Bonnet, D. R. Cole, J. Delville, M. N. Glauser, and L. S. Ukeiley, Stochastic estimation and proper orthogonal decomposition: Complementary techniques for identifying structure, Exp. Fluids 17, 307 (1994).
  12. J. Delville, E. Lamballais, and J. P. Bonnet, POD, LODS, and LSE: Their links to control and simulations of mixing layers, ERCOFTAC Bull. 46, 29 (2000).
  13. C. E. Tinney, M. N. Glauser, and L. S. Ukeiley, Low-dimensional characteristics of a transonic jet. Part 1. Proper orthogonal decomposition, J. Fluid Mech. 612, 107 (2008).
  14. C. E. Tinney, L. S. Ukeiley, and M. N. Glauser, Low-dimensional characteristics of a transonic jet. Part 2. Estimate and far-field prediction, J. Fluid Mech. 615, 53 (2008).
  15. B. O. H. Jørgensen, Application of POD to PIV images of flow over a wall mounted fence, in Proceedings of the IUTAM Symposium on Simulation and Identification of Organized Structures in Flows, edited by J. N. Sørensen, E. J. Hopfinger, and N. Aubry, Fluid Mechanics and Its Applications Vol. 52 (Springer, Berlin, 1997), pp. 397–407.
  16. K. Cohen, S. Siegel, and T. McLaughlin, Feedback control of a cylinder wake low-dimensional model, AIAA J. 41, 1389 (2003).
  17. J. T. Pinier, J. M. Ausseur, M. N. Glauser, and H. Higuchi, Proportional closed-loop feedback control of flow separation, AIAA J. 45, 181 (2007).
  18. M. P. Wernet, Temporally resolved PIV for space-time correlations in both cold and hot jet flows, Meas. Sci. Technol. 18, 1387 (2007).
  19. Z. P. Berger, P. R. Shea, M. G. Berry, B. R. Noack, S. Gogineni, and M. N. Glauser, Active flow control for high speed jets with large window PIV, Flow Turbul. Combust. 94, 97 (2014).
  20. K. R. Low, Z. P. Berger, S. Kostka, B. El Hadidi, S. Gogineni, and M. N. Glauser, A low-dimensional approach to closed-loop control of a mach 0.6 jet, Exp. Fluids 54, 1484 (2013).
  21. Z. P. Berger, M. G. Berry, P. R. Shea, M. N. Glauser, P. Kan, J. Lewalle, C. J. Ruscher, and S. P. Gogineni, Investigation of “loud” modes in a high-speed jet to identify noise-producing events, in Proceedings of the 53rd AIAA Aerospace Sciences Meeting (AIAA, Reston, 2015), paper 2015-0739.
  22. C.E. Tinney, P. Jordan, A. M. Hall, J. Delville, and M. N. Glauser, A time-resolved estimate of the turbulence and sound source mechanisms in a subsonic jet flow, J. Turbul. 8, N7 (2007).
  23. M. Schlegel, B. R. Noack, P. Jordan, A. Dillmann, E. Groschel, W. Schröder, M. Wei, J. B. Freund, O. Lehmann, and G. Tadmor, On least-order flow representations for aerodynamics and aeroacoustics, J. Fluid Mech. 679, 367 (2012).
  24. R. Zimmermann, A. Vendl, and S. Görtz, Reduced order modeling of steady flows subject to aerodynamic constraints, AIAA J. 52, 255 (2014).
  25. C. J. Ruscher, J. F. Dannenhoffer III, and M. N. Glauser, Repairing occluded data for a Mach 0.6 jet via data fusion, AIAA J. 55, 255 (2017).
  26. R. J. Simmons, Design and control of a variable geometry turbofan with an independently modulated third stream, Ph.D. thesis, The Ohio State University, 2009.
  27. A. S. Magstadt, M. G. Berry, P. R. Shea, M. N. Glauser, C. J. Ruscher, S. P. Gogineni, and B. V. Kiel, Aeroacoustic experiments on supersonic multi-aperture nozzles, in Proceedings of the 51st AIAA/ASME/SAE/ASEE Joint Propulsion Conference, Orlando, 2015 (AIAA, Reston, 2015).
  28. M. G. Berry, A. S. Magstadt, and M. N. Glauser, Application of POD on time-resolved schlieren in supersonic multi-stream rectangular jets, Phys. Fluids 29, 020706 (2017).
  29. G. S. Settles, Schlieren & Shadowgraph Techniques (Springer, Berlin, 2001).
  30. M. G. Berry, A. S. Magstadt, M. N. Glauser, C. J. Ruscher, S. P. Gogineni, and B. V. Kiel, An acoustic investigation of a supersonic, multi-stream jet with aft deck: Characterization and acoustically-optimal operating conditions, in Proceedings of the 54th AIAA Aerospace Sciences Meeting (AIAA, Reston, 2016), paper 2016-1883.
  31. C. E. Willert, D. M. Mitchell, and J. Soria, An assessment of high-power light-emitting diodes for high frame rate schlieren imaging, Exp. Fluids 53, 413 (2012).
  32. S. Wilson, G. Gustafson, G. Lincoln, K. Murari, and C. Johansen, Performance evaluation of an overdriven led for high-speed schlieren imaging, J. Visual. 18, 35 (2015).
  33. A. S. Magstadt, Investigating the structures of turbulence in a multi-stream, rectangular, supersonic jet, Ph.D. thesis, Syracuse University, 2017.
  34. D. V. Gaitonde and M. R. Visbal, High-order schemes for Navier-Stokes equations: Algorithm and implementation into FDL3DI, Air Force Research Laboratory Report No. AFRL-VA-WP-TR-1998-3060, 1998, http://www.dtic.mil/docs/citations/ADA364301.
  35. R. Speth and D. Gaitonde, Parametric study of a mach 1.3 cold jet excited by the flapping mode using plasma actuators, Comput. Fluids 84, 16 (2013).
  36. D. Gaitonde and M. Samimy, Coherent structures in plasma-actuator controlled supersonic jets: Axisymmetric and mixed azimuthal modes, Phys. Fluids 23, 095104 (2011).
  37. C. Bogey and C. Bailly, Influence of nozzle-exit boundary-layer conditions on the flow and acoustic fields of initially laminar jets, J. Fluid Mech. 663, 507 (2010).
  38. D. P. Rizzetta and M. R. Visbal, Application of large eddy simulation to supersonic compression ramp, AIAA J. 40, 1574 (2002).
  39. T. Lund, X. Wu, and K. Squires, Generation of turbulent inflow data for spatially-developing boundary layer simulations, J. Comput. Phys. 140, 233 (1998).
  40. X. Xiao, J. Edwards, H. Hassan, and R. Baurle, Inflow boundary conditions for hybrid large-eddy/Reynolds-averaged Navier-Stokes simulations, AIAA J. 41, 1481 (2003).
  41. H. Le, P. Moin, and J. Kim, Direct numerical simulation of turbulent flow over a backward-facing step, J. Fluid Mech. 330, 349 (1997).
  42. P. Batten, U. Goldberg, and S. Chakravarthy, Interfacing statistical turbulence closures with large-eddy simulation, AIAA J. 42, 485 (2004).
  43. M. Klein, A. Sadiki, and J. Janicka, A digital filter based generation of inflow data for spatially developing direct numerical or large eddy simulations, J. Comput. Phys. 186, 652 (2003).
  44. E. Touber and N. D. Sandham, Oblique shock impinging on a turbulent boundary layer: Low-frequency mechanisms, in Proceedings of the 38th Fluid Dynamics Conference and Exhibit (AIAA, Reston, 2008), paper 2008-4170.
  45. C. M. Stack and D. V. Gaitonde, Dynamical features of a supersonic multistream nozzle with an aft-deck, in Proceedings of the 55th AIAA Aerospace Sciences Meeting (AIAA, Reston, 2017), paper 2017-0557.
  46. M. G. Berry, C. M. Stack, M. Y. Ali, A. S. Magstadt, D. V. Gaitonde, and M. N. Glauser, Analysis of a rectangular supersonic multi-stream jet by LES and experiments, in Proceedings of the Tenth International Symposium on Turbulence and Shear Flow Phenomena (TSFP, 2017), http://tsfp10.org/TSFP10_program/2/389.pdf.
  47. L. Sirovich, Turbulence and the dynamics of coherent structures Part I: Coherent structures, Q. Appl. Math. 45, 561 (1987); Turbulence and the dynamics of coherent structures Part II: Symmetries and transformations, ibid. 45, 573 (1987); Turbulence and the dynamics of coherent structures Part III: Dynamics and scaling, ibid. 45, 583 (1987).
  48. S. Park, A. Wachsman, A. Annaswamy, A. Ghoniem, B. Pang, and K. Yu, Experimental study of POD-based control for combustion instability using a linear photodiode array, in Proceedings of the 42nd AIAA Aerospace Sciences Meeting (AIAA, Reston, 2004), paper 2004-639.
  49. C. Alvarez-Herrera, D. Moreno-Hernández, and B. Barrientos-García, Temperature measurement of an axisymmetric flame by using a schlieren system, J. Opt. A 10, 104014 (2008).
  50. S. Tsutsumi, T. Nonomura, K. Fujii, Y. Nakanishi, K. Okamoto, and S. Teramoto, Analysis of acoustic wave from supersonic jets impinging to an inclined at plate, in Proceedings of the Seventh International Conference on Computational Fluid Dynamics (Springer, Berlin, 2012), paper ICCFD7-3104.
  51. T. Ecker, D. R. Brooks, K. T. Lowe, and W. F. Ng, Quantitative image processing of high-speed schlieren of a hot supersonic jet, in Proceedings of the 66th Annual Meeting of the APS Division of Fluid Dynamics (APS, New York, 2013), Vol. 59.
  52. C. W. Rowley, I. Mezic, S. Bagheri, P. Schlatter, and D. S. Henningson, Spectral analysis of nonlinear flows, J. Fluid Mech. 641, 115 (2009).
  53. P. J. Schmid, Dynamic mode decomposition of numerical and experimental data, J. Fluid Mech. 656, 5 (2010).
  54. A. Ruhe, Rational Krylov sequence methods for eigenvalue computation, Linear Algebra Appl. 58, 391 (1984).
  55. A. S. Magstadt, M. G. Berry, T. J. Coleman, P. R. Shea, M. N. Glauser, C. J. Ruscher, S. P. Gogineni, and B. V. Kiel, A near-field investigation of a supersonic, multi-stream jet: locating turbulence mechanisms through velocity and density measurements, in Proceedings of the 54th AIAA Aerospace Sciences Meeting (AIAA, Reston, 2016), paper 2016-1639.
  56. M. G. Berry, Y. M. Ali, A. S. Magstadt, and M. N. Glauser, DMD and POD of time-resolved schlieren on a multi-stream single expansion ramp nozzle, Int. J. Heat Fluid Flow 66, 60 (2017).

Outline

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Phys. Rev. Fluids 2, 100504– Published 17 October, 2017
  • Received 6 July 2017
Article part of CHORUS

©2017 American Physical Society

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