Sensitivity analysis of transonic flow past a NASA airfoil/wing with spoiler deployments

  • AKuzmin, lexander
  • Received : 2014.03.31
  • Accepted : 2014.09.16
  • Published : 2014.09.30


Transonic flow past a NASA SC(2)-0710 airfoil with deployments of a spoiler up to $6^{\circ}$ was studied numerically. We consider angles of attack from $-0.6^{\circ}$ to $0.6^{\circ}$ and free-stream Mach numbers from 0.81 to 0.86. Solutions of the unsteady Reynolds-averaged Navier-Stokes equations were obtained with a finite-volume solver using several turbulence models. Both stationary and time-dependent deployments of the spoiler were examined. The study revealed the existence of narrow bands of the Mach number, angle of attack, and spoiler deflection angle, in which the flow was extremely sensitive to small perturbations. Simulations of 3D flow past a swept wing confirmed the flow sensitivity to small perturbations of boundary conditions.


airfoil;spoiler;local supersonic regions;interaction;adverse conditions;aerodynamic coefficients


  1. Blanc, F., Roux, F.-X. and Jouhaud, J.-Ch., "Numerical methods for control surfaces aerodynamics with flexibility effects". International Forum on Aeroelasticity and Structural Dynamics 2009, CERFACS, Toulouse, France, 2009, pp. 1-15, tory/TR_CFD_09_54.pdf
  2. Stuckey, R. A., "A comparison of spoiler aerodynamic characteristics as estimated from flight", IAC-97 International Aerospace Congress Proceedings, Vol. 2. Sydney, NSW, 1997, pp. 721-731.
  3. Fillola, G., Le Pape, M.-C. and Montagnac, M., "Numerical simulations around wing control surfaces", ICAS 2004 Proceedings, Yokohama, name, year., 2004.
  4. Meheut, M., Atinault, O. and Hantrais-Gervois, J.-L., "elsA and TAU assessment for wing control surfaces", Research Report, TP 2011-102, ONERA, Toulouse, France, 2011.
  5. Dimitrov, D., "Unsteady aerodynamics of wings with an oscillating flap in transonic flow", 8th PEGASUS-AIAA Student Conference, Poitiers, Frankreich, 2012.
  6. Reimer, L. and Heinrich, R., "Modeling of movable control surfaces and atmospheric effects", Notes on numerical fluid mechanics and multidisciplinary design, Vol. 123, 2013, pp. 183-206.
  7. Kuzmin, A., "Non-unique transonic flows over airfoils", Computers and Fluids, Vol. 63, 2012, pp. 1-8.
  8. Kuzmin, A., "Transonic flow past a Whitcomb airfoil with a deflected aileron", Internat. J. of Aeronautical and Space Sciences, Vol. 14, No. 3, 2013, pp. 210--214.
  9. Harris, Ch.D., NASA supercritical airfoils. A matrix of family-related airfoils, NASA Technical Paper, No. 2969, Langley Research Center, 1990.
  10. Barth, T.J. and Jespersen, D.C., "The design and application of upwind schemes on unstructured meshes", AIAA Paper, 89-0366, 1989, pp. 1-12.
  11. Menter, F.R., "Review of the Shear-Stress Transport turbulence model experience from an industrial perspective", Internat. J. Comput. Fluid Dynamics, Vol. 23, 2009, pp. 305-316.
  12. Barrett, Th.R., Aerodynamic design optimization using flow feature parametrization, PhD thesis, University of Southampton, School of Engineering Sciences, Southampton, UK, 2007.
  13. Christianovich, S.A., Galperin, V.G., Gorsky, I.P. and Kovalev, A.P., The physical basis for nearsonic aerodynamics, TsaGI, Moscow (in Russian), 1948.
  14. Zierep, J., "The freezing property (stabilization law) of transonic flows", Acta Mechanica, Vol. 108, 1995, pp. 219-223.
  15. Cook, L.P. and Zeigler, F.J., "The stabilization law for transonic flow". SIAM J. Appl. Math., Vol. 46, No. 1, 1986, pp. 27-48.
  16. Sharcnet, "Computing tomorrow's solutions", i1303039.html , 2013.
  17. Langtry, R.B. and Menter, F.R., "Transition modeling for general CFD applications in aeronautics", AIAA Paper, No. 2005-522, 2005, pp.1-14.
  18. Rodriguez, D.L., Sturdza, P., Suzuki, Y. and Martinsrivas, H., "A rapid, robust, and accurate coupled boundarylayer method for Cart3D", AIAA Paper, No. 2012-0302, 2012.


Supported by : Russian Foundation