OPTIMAL SHAPE DESIGN OF A S-SHAPED SUBSONIC INTAKE USING NURBS

NURBS를 이용한 S형 천음속 흡입관 최적 설계

  • 이병준 (서울대학교 대학원 기계항공공학부) ;
  • 김종암 (서울대학교 기계항공공학부)
  • Published : 2006.03.01

Abstract

An optimal shape design approach is presented for a subsonic S-shaped intake using aerodynamic sensitivity analysis. Two-equation turbulence model is employed to capture strong counter vortices in the S-shaped duct more precisely. Sensitivity analysis is performed for the three-dimensional Navier-Stokes equations coupled with two-equation turbulence models using a discrete adjoint method For code validation, the result of the flow solver is compared with experiment data and other computational results of bench marking test. To study the influence oj turbulence models and grid refinement on the duct flow analysis, the results from several turbulence models are compared with one another and the minimum number of grid points, which can yield an accurate solution is investigated The adjoint variable code is validated by comparing the complex step derivative results. To realize a sufficient and flexible design space, NURBS equations are introduced as a geometric representation and a new grid modification technique, Least Square NURBS Grid Approximation is applied With the verified flow solver, the sensitivity analysis code and the geometric modification technique, the optimization of S-shaped intake is carried out and the enhancement of overall intake performance is achieved The designed S-shaped duct is tested in several off-design conditions to confirm the robustness of the current design approach. As a result, the capability and the efficiency of the present design tools are successfully demonstrated in three-dimensional highly turbulent internal flow design and off-design conditions.

Keywords

References

  1. J. Seddon, E.L. Goldsmith, 1985, Intake Aerodynamics, AIAA Education Series
  2. Fluid Dynamics Panel - Working Group 13. 1991, 'Test Case3 - Subsonicffransonic Circular Intake,' AGARD Advisory Report 270
  3. N.E. May, C.J. Peace, and C.A. Mchugh, 1993, 'An Investigation of Two intake/S-Bend Diffuser Geometries using the Sauna CFD System - Phase I,' ARA Memo 386
  4. R.D.D. Menzies, K.J. Badcock, G.N. Barakos, and B.E. Richards, 'Validation of the Simulation of Flow in an S-duct,' AIAA, P.2002-2808
  5. E.S. Taskinoglu, Doyle D. Knight,'Design Optimization for Submerged Inlets - Part I,' AIAA, P.2003-1247
  6. W. Zhang, D. Knight, and D. Smith, 2000, 'Automated Design of a Three Dimensional Subsonic Diffuser,' Journal of Propulsion and Power, Vol.16-6, p.1132-1140
  7. B.J. Lee, C. Kim, and O. Rho, 'Aerodynamic Design Optimization for the S-shaped Subsonic Diffuser using Two-Equation Turbulence Model,' AIAA, P.2003-3960
  8. C.F. Smith, J.E. Bruns, G.J. Harloff, and J.R DeBonis, 1991, 'Three-Dimensional Compressible Turbulent Computations for a Diffusing S-Duct,' NASA CR 4392
  9. G.J. Harloff, B.A. Reichert, and S.R. Wellborn, 'Navier-Stokes Analysis and Experimental Data Comparison of Compressible Flow in a Diffusing S-Duct,' AIAA P.92-2699
  10. S.R. Wellbom, B.A. Reichert, and T.H. Okiishi, 'Experimental Investigation of the Flow in a Diffusing S-Duct,' AIAA, P.92-3622
  11. B.J. Lee, C.S. Kim, C. Kim, O.H. Rho, K.D. Lee, 'Parallelized Design Optimization for Transonic Wing Using Aerodynamic Sensitivity Analysis,' AIAA, P.2002-0264
  12. C.S. Kim, C. Kim, and O.H. Rho, 2001, 'Sensitivity Analysis for the Navier-Stokes Equations with Two-Equation Turbulence Models,' AIAA, Journal, VoI.39-5, p.838-845
  13. R.M. Hicks and P.A. Henne, 1978, 'Wing design by numerical optimization,' Journal of Aircraft, Vol.15, p.407-412 https://doi.org/10.2514/3.58379
  14. E.J. Nielsen, and W.K. Anderson, 'Aerodynamic Design Optimization on Unstructured Meshes Using the Navier-Stokes Equations,' AIAA, P.98-4809
  15. Kasidit Leoviriyakit, Sanho Kim, and Antony Jameson, 'Viscous Aerodynamic Shape Design Optimization of Wings including Planform Variables,' AIAA, P.2003-3498
  16. J.R.R.A. Martins, I.M. Kroo, and J.J. Alonso, 'An Automated method for sensitivity analysis using complex variables,' AIAA, P.2000-0689
  17. K.W. Lee, 1998, Principles of CAD/CAM/CAE Systems, Addison Wesley
  18. Les Piegl, Wayne Tiller, 1997, NURBS Book, Springer
  19. F.R Menter, 1994, 'Two-Equation Eddy-Viscosity turbulence Models for Engineering Applications,' AIAA Journal, VoI.32-8, p.1598-1605
  20. S.S. Kim, C. Kim, O.H. Rho, and S.K Hong, 'Cures for the Shock Instability: Development of Shock-Stable Roe Schemes,' Journal of Computational Physics, Vol.185-2, p.342-374
  21. D.D. Baals, N.F. Smith, and J.B. Wright, 'The Development and Application of High-Critical-Speed Nose Inlets,' NACA Report No.920