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Multi-Point Aerodynamic Shape Optimization of Rotor Blades Using Unstructured Meshes

  • Published : 2007.06.30

Abstract

A multi-point aerodynamic shape optimization technique has been developed for helicopter rotor blades in hover based on a continuous adjoint method on unstructured meshes. The Euler flow solver and the continuous adjoint sensitivity analysis were formulated on the rotating frame of reference. The 'objective function and the sensitivity were obtained as a weighted sum of the values at each design point. The blade section contour was modified by using the Hicks-Henne shape functions. The mesh movement due to the blade geometry change was achieved by using a spring analogy. In order to handle the repeated evaluation of the design cycle efficiently, the flow and adjoint solvers were parallelized based on a domain decomposition strategy. A solution-adaptive mesh refinement technique was adopted for the accurate capturing of the wake. Applications were made to the aerodynamic shape optimization of the Caradonna-Tung rotor blades and the UH-60 rotor blades in hover.

Keywords

References

  1. Lee, S. W.. and Kwon, O. J., 'Parallel 3-D Aerodynamic Shape Optimization on Unstructured Meshes,' KSAS International Journal. Vol. 4, No. 1, 2003, pp. 45-52
  2. Jameson, A., and Vassberg, J. C., 'Computational Fluid Dynamics for Aerodynamic Design: Its Current and Future Impact,' AIAA-2001-0538, 2001
  3. Tapia, F., Sankar, L. N., and Schrage, D. P., 'An Inverse Aerodynamic Design Method for Rotor Blades,' Journal of the American Helicopter Society, Vol. 42, No.4. 1997, pp. 321-326 https://doi.org/10.4050/JAHS.42.321
  4. Sun. J. Kim. Y., Lee, S.. and Lee, D., 'Aerodynamic Design of Helicopter Rotor Blade in Forward Flight Using Response Surface Methodology,' American Helicopter Society 58 th Annual Forum, 2002
  5. Lee, S. W., and Kwon, O. J., 'Aerodynamic Shape Optimization of Hovering Rotor Blades in Transonic Flow Using Unstructured Meshes,' AIAA Journal, Vol. 44, No.8, 2006
  6. Lee, S. W., and Kwon, O. J., '2-D Robust Design Optimization on Unstructured Meshes,' 5th Asian Computational Fluid Dynamics, 2003
  7. Caradonna, F. X., and Tung, C., 'Experimental and Analytical Studies of a Model Helicopter Rotor in Hover,' NASA TM 81232, 1981
  8. Ahmad, J. U., and Strawn, R. C., 'Hovering Rotor and Wake Calculations with an Oversetr Grid Navier-Stokes Solver,' American Helicopter Society 55th Annual Forum, 1999
  9. Kang. H. J., Kwon, O. J., 'Effect of Wake Adaptation on Rotor Hover Simulations Using Unstructured Meshes,' Journal of Aircraft. Vol. 38, No.5, 2001. pp. 868-877 https://doi.org/10.2514/2.2846
  10. Frink, N. T., 'Upwind Scheme for Solving the Euler Equations on Unstructured Tetrahedral Meshes,' AIAA Journal. Vol. 30. No. 1. 1992. pp, 70-77.
  11. Holmes, D. G., and Cornell, S. D., 'Solution of the 2D Navier-Stokes Equations on Unstructured Adaptive Grids,' AIAA 89-1932, 1989
  12. Srinivasan, G. R., Raghavan, V., and Duque, E. P. N., 'Flowfield Analysis of Modern Helicopter Rotors in Hover by Navier-Stokes Method,' Journal of the American Helicopter Society. Vol. 38. No.3, 1993, pp. 3-13 https://doi.org/10.4050/JAHS.38.3
  13. Hicks, R. M., and Henne, P. A., 'Wing Design by Numerical Optimization,' Journal of Aircraft, Vol. 15, No.7, 1978, pp. 407-412 https://doi.org/10.2514/3.58379
  14. Blom. F. J., 'Consideration on the Spring Analogy,' International Journal for Numerical Methods in Fluids, Vol. 32, 2000, pp. 647-668 https://doi.org/10.1002/(SICI)1097-0363(20000330)32:6<647::AID-FLD979>3.0.CO;2-K