Integrated Design of an Active Flow Control System Using a Time-Dependent Adjoint Method

E.J. Nielsen; W.T. Jones

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 3, page 141-165
  • ISSN: 0973-5348

Abstract

top
An exploratory study is performed to investigate the use of a time-dependent discrete adjoint methodology for design optimization of a high-lift wing configuration augmented with an active flow control system. The location and blowing parameters associated with a series of jet actuation orifices are used as design variables. In addition, a geometric parameterization scheme is developed to provide a compact set of design variables describing the wing shape. The scaling of the implementation is studied using several thousand processors and it is found that asynchronous file operations can greatly improve the overall performance of the approach in such massively parallel environments. Three design examples are presented which seek to maximize the mean value of the lift coefficient for the coupled system, and results demonstrate improvements as high as 27% relative to the lift obtained with non-optimized actuation. This lift gain is more than three times the incremental lift provided by the non-optimized actuation.

How to cite

top

Nielsen, E.J., and Jones, W.T.. "Integrated Design of an Active Flow Control System Using a Time-Dependent Adjoint Method." Mathematical Modelling of Natural Phenomena 6.3 (2011): 141-165. <http://eudml.org/doc/222318>.

@article{Nielsen2011,
abstract = {An exploratory study is performed to investigate the use of a time-dependent discrete adjoint methodology for design optimization of a high-lift wing configuration augmented with an active flow control system. The location and blowing parameters associated with a series of jet actuation orifices are used as design variables. In addition, a geometric parameterization scheme is developed to provide a compact set of design variables describing the wing shape. The scaling of the implementation is studied using several thousand processors and it is found that asynchronous file operations can greatly improve the overall performance of the approach in such massively parallel environments. Three design examples are presented which seek to maximize the mean value of the lift coefficient for the coupled system, and results demonstrate improvements as high as 27% relative to the lift obtained with non-optimized actuation. This lift gain is more than three times the incremental lift provided by the non-optimized actuation. },
author = {Nielsen, E.J., Jones, W.T.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {design; flow control; unsteady; adjoint; unstructured; Navier-Stokes; Navier-stokes},
language = {eng},
month = {5},
number = {3},
pages = {141-165},
publisher = {EDP Sciences},
title = {Integrated Design of an Active Flow Control System Using a Time-Dependent Adjoint Method},
url = {http://eudml.org/doc/222318},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Nielsen, E.J.
AU - Jones, W.T.
TI - Integrated Design of an Active Flow Control System Using a Time-Dependent Adjoint Method
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/5//
PB - EDP Sciences
VL - 6
IS - 3
SP - 141
EP - 165
AB - An exploratory study is performed to investigate the use of a time-dependent discrete adjoint methodology for design optimization of a high-lift wing configuration augmented with an active flow control system. The location and blowing parameters associated with a series of jet actuation orifices are used as design variables. In addition, a geometric parameterization scheme is developed to provide a compact set of design variables describing the wing shape. The scaling of the implementation is studied using several thousand processors and it is found that asynchronous file operations can greatly improve the overall performance of the approach in such massively parallel environments. Three design examples are presented which seek to maximize the mean value of the lift coefficient for the coupled system, and results demonstrate improvements as high as 27% relative to the lift obtained with non-optimized actuation. This lift gain is more than three times the incremental lift provided by the non-optimized actuation.
LA - eng
KW - design; flow control; unsteady; adjoint; unstructured; Navier-Stokes; Navier-stokes
UR - http://eudml.org/doc/222318
ER -

References

top
  1. W.K. Anderson, D.L. Bonhaus. An implicit upwind algorithm for computing turbulent flows on unstructured grids. Comp. and Fluids, 23 (1994), No. 1, 1-21.  
  2. W.K. Anderson, V. Venkatakrishnan. Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation. Comp. and Fluids, 28 (1999), No. 4, 443-480.  
  3. W.K. Anderson, D.L. Bonhaus. Airfoil design on unstructured grids for turbulent flows. AIAA J., 37 (1999), No. 2, 185-191.  
  4. O. Baysal, M. Koklu, N. Erbas. Design optimization of micro synthetic jet actuator for flow separation control. J. Fluids Eng., 128 (2006), No. 5, 1053-1062.  
  5. T.R. Bewley. Flow control: new challenges for a new renaissance. Prog. in Aero. Sci., 37 (2001), No. 1, 21-58.  
  6. R.T. Biedron, J.L. Thomas. Recent enhancements to the FUN3D Flow solver for moving mesh applications. AIAA 2009-1360 (2009).  
  7. F. Cappello, A. Geist, W. Gropp, S. Kale, B. Kramer, M. Snir. Toward exascale resilience. Int. J. High Perf. Comp. App., 23 (2009), No. 4, 374-388.  
  8. S. Choi, M. Potsdam, K. Lee, G. Iaccarino, J.J. Alonso. Helicopter rotor design using a time-spectral and adjoint-based method. AIAA 2008-5810 (2008).  
  9. S.S. Collis, R.D. Joslin, A. Seifert, V. Theofilis. Issues in active flow control: theory, control, simulation, and experiment. Prog. in Aero. Sci., 40 (2004), No. 4, 237-289.  
  10. R. Duvigneau, M. Visonneau. Optimization of a synthetic jet actuator for aerodynamic stall control. Comp. and Fluids, 35 (2006), No. 6, 624-638.  
  11. D. Greenblatt, I.J. Wygnanski. The control of flow separation by periodic excitation. Prog. in Aero. Sci., 36 (2000), No. 7, 487-545.  
  12. Z.-H. Han, K.-S. Zhang, W.-P. Song, Z.-D. Qiao. Optimization of active flow control over an airfoil using a surrogate-management framework. AIAA J. Aircraft, 47 (2010), No. 2, 603-612.  
  13. , last accessed December 1, 2010.  URIhttp://fun3d.larc.nasa.gov
  14. , last accessed December 1, 2010.  URIhttp://wiki.lustre.org/index.php/Main_Page
  15. L. Huang, G. Huang, R. LeBeau. Optimization of airfoil flow control using a genetic algorithm with diversity control. AIAA J. Aircraft, 44 (2007), No. 4, 1337-1349.  
  16. W.T. Jones. GridEx – an integrated grid generation package for CFD. AIAA 2003-4129 (2003).  
  17. L. Kaufman, D. Gay. PORT Library: optimization and mathematical programming – user’s manual. Bell Laboratories, 1997.  
  18. W.R. Lanser, L.A. Meyn. Forebody flow control on a full-scale F/A-18 aircraft. AIAA J. Aircraft, 31 (1994), No. 6, 1365-1371.  
  19. C. Leclerc, E. Levallois, P. Gillieron, A. Kourta. Aerodynamic drag reduction by synthetic jet: a 2D numerical study around a simplified car. AIAA 2006-3337 (2006).  
  20. E.M. Lee-Rausch, V.N. Vatsa, C.L. Rumsey. Computational analysis of dual radius circulation control airfoils. AIAA 2006-3012 (2006).  
  21. E.M. Lee-Rausch, D.P. Hammond, E.J. Nielsen, S.Z. Pirzadeh, C.L. Rumsey. Application of the FUN3D unstructured-grid Navier-Stokes solver to the 4th AIAA Drag Prediction Workshop cases. AIAA 2010-4551 (2010).  
  22. J.N. Lyness. Numerical algorithms based on the theory of complex variables. Proc. ACM 22nd Nat. Conf., Thomas Book Co., Washington, D.C. (1967), 124-134.  
  23. D.J. Mavriplis. Solution of the unsteady discrete adjoint for three- dimensional problems on dynamically deforming unstructured meshes. AIAA 2008-727 (2008).  
  24. M. Meunier. Simulation and optimization of flow control strategies for novel high-lift configurations. AIAA J., 47 (2009), No. 5, 1145-1157.  
  25. F. Muldoon. Control of a Simplified Unsteady film-cooling flow using gradient-based optimization. AIAA J., 46 (2008), No. 10, 2443-2458.  
  26. S. Nadarajah, A. Jameson. Optimal control of unsteady flows using time accurate and non-linear frequency domain methods. AIAA 2002-5436 (2002).  
  27. J.C. NewmanIII, A.C. TaylorIII, R.W. Barnwell, P.A. Newman, G.J.-W. Hou. Overview of sensitivity analysis and shape optimization for complex aerodynamic configurations. AIAA J. Aircraft, 36 (1999), No. 1, 87-96.  
  28. E.J. Nielsen, B. Diskin, N.K. Yamaleev. Discrete adjoint-based design optimization of unsteady turbulent flows on dynamic unstructured grids. AIAA J., 48 (2010), No. 6, 1195-1206.  
  29. E.J. Nielsen. Aerodynamic design sensitivities on an unstructured mesh using the Navier-Stokes equations and a discrete adjoint formulation. Ph.D. Dissertation, Dept. of Aero. and Ocean Eng., Virg. Poly. Inst. and St. Univ. (1998).  
  30. E.J. Nielsen, W.K. Anderson. Recent improvements in aerodynamic design optimization on unstructured meshes. AIAA J., 40 (2002), No. 6, 1155-1163.  
  31. E.J. Nielsen, W.K. Anderson. Aerodynamic design optimization on unstructured meshes using the Navier-Stokes equations. AIAA J., 37 (1999), No. 11, 1411-1419.  
  32. E.J. Nielsen, J. Lu, M.A. Park, D.L. Darmofal. An Implicit, exact dual adjoint solution method for turbulent flows on unstructured grids. Comp. and Fluids, 33 (2004), No. 9, 1131-1155.  
  33. E.J. Nielsen, W.L. Kleb. Efficient construction of discrete adjoint operators on unstructured grids by using complex variables. AIAA J., 44 (2006), No. 4, 827-836.  
  34. E.J. Nielsen, M.A. Park. Using an adjoint approach to eliminate mesh sensitivities in computational design. AIAA J., 44 (2006), No. 5, 948-953.  
  35. M. Nyukhtikov, N. Smelova, B.E. Mitchell, D.G. Holmes. Optimized dual-time stepping technique for time-accurate Navier-Stokes calculation. Proceedings of the 10th Int. Sym. on Unst. Aero., Aeroac., and Aeroelas. of Turbomach. (2003).  
  36. O.J. Ohanian III, E.D. Karni, W.K. Londenberg, P.A. Gelhausen. Ducted-fan force and moment control via steady and synthetic jets. AIAA 2009-3622 (2009).  
  37. J.E.V. Peter, R.P. Dwight. Numerical sensitivity analysis for aerodynamic optimization: A survey of approaches. Comp. and Fluids, 39 (2010), No. 3, 373-391.  
  38. L. Piegl, W. Tiller. The NURBS book (2nd ed.). Springer-Verlag New York, New York, 1997.  
  39. S. Pirzadeh. Three-dimensional unstructured viscous grids by the advancing front method. AIAA J., 34 (1996), No. 1, 43-49.  
  40. P.L. Roe. Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comp. Phys., 43 (1981), No. 2, 357-372.  
  41. J.L. Rogers. A parallel approach to optimum actuator selection with a genetic algorithm. AIAA 2000-4484 (2000).  
  42. J.M. Rullan, P.P. Vlachos, D.P. Telionis, M.D. Zeiger. Post-stall flow control of sharp-edged wings via unsteady blowing. AIAA J. Aircraft, 43 (2006), No. 6, 1738-1746.  
  43. M.P. Rumpfkeil, D.W. Zingg. A general framework for the optimal control of unsteady flows with applications. AIAA 2007-1128 (2007).  
  44. Y. Saad, M.H. Schultz. GMRES: A generalized minimal residual algorithm for solving Nonsymmetric linear systems. SIAM J. Sci. and Stat. Comp., 7 (1986), No. 3, 856-869.  
  45. J.A. Samareh. A Novel shape parameterization approach. NASA TM-1999-209116 (1999).  
  46. J.A. Samareh. Aerodynamic shape optimization based on free-form deformation. AIAA 2004-4630 (2004).  
  47. A. Seifert, S. David, I. Fono, O. Stalnov, I. Dayan. Roll control via active flow control: From concept to flight. AIAA J. Aircraft, 47 (2010), No. 3, 864-874.  
  48. A. Shmilovich, Y. Yadlin. Active flow control for practical high-lift systems. AIAA J. Aircraft, 46 (2009), No. 4, 1354-1364.  
  49. P.R. Spalart, S.R. Allmaras. A one-equation turbulence model for aerodynamic flows. La Recherche Aerospatiale, 1 (1994), 5-21.  
  50. E. Stanewsky. Adaptive wing and flow control technology. Prog. in Aero. Sci., 37 (2001), No. 7, 583-667.  
  51. M. Tadjouddine, S.A. Forth, N. Qin. Automatic differentiation of a time-dependent CFD solver for optimisation of a synthetic jet. Presented at the Int. Conf. of Num. Anal. and App. Math., Rhodes, Greece (2005).  
  52. V.N. Vatsa, M.H. Carpenter, D.P. Lockard. Re-evaluation of an optimized second order backward difference (BDF2OPT) scheme for unsteady flow applications. AIAA 2010-0122 (2010).  
  53. N. Yamaleev, B. Diskin, E. Nielsen. Local-in-time adjoint-based method for design optimization of unsteady flows. J. Comp. Phys., 229 (2010), No. 14, 5394-5407.  

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.