Role of RANS, Hybrid and LES for Wing Flow Simulations at Relatively Low Reynolds Numbers

  • Kozo Fujii
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design book series (NNFM, volume 117)


Two types of recent results for the simulation of wing flows at relatively low Reynolds numbers are presented. One is a series of the flow simulations over simple wings, which eventually help the wing design of Mars flyer. The other is a series of the similar wing flow simulation but with DBD plasma actuator that reduces flow separation. Simulations are conducted with highly accurate spectral-like compact difference scheme that reduces the number of grid points with keeping same spatial resolution. With this method, iLES is used as a main analytical tool for the simulations. There appears strong Reynolds number effect and small change of the Reynolds number may drastically change the aerodynamic characteristics especially for thick wings. Thin wing has linear lift characteristics similar to thick wings at high Reynolds numbers, but flow structure is totally different from so-called potential flows. Wing flow simulation but with DBD plasma actuator shows that iLES captures flow structure induced by the DBD plasma actuator and transition to turbulent flows may be one of the important factors of the flow control by these devices. It is also shown that both flow separation and flow reattachment are the key factors for the simulation examples presented here, which requires LES type of simulations.


Reynolds Number Flow Simulation Dielectric Barrier Discharge AIAA Paper Separation Bubble 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Shang, J.S.: A Glance Back and Outlook of Computational Fluid Dynamics. ASME FEDSM2003–4 5420 (2003)Google Scholar
  2. 2.
    Chapman, D.: Opening Remarks’ Future Computer Requirements for Computational Aerodynamics. NASA CP 2032 (1978)Google Scholar
  3. 3.
    Fujii, K.: Progress and Future Prospects of CFD in Aerospace-Wind Tunnel and Beyond. In: Daniel and Florence Guggenheim lecture at ICAS 2004. Progress in Aerospace Sciences, vol. 41, pp. 455–470 (2005)Google Scholar
  4. 4.
    Fujii, K., Obayashi, S.: Navier-Stokes Simulations of Transonic Flows over a Practical Wing Configuration. AIAA Journal 25(3), 369–370 (1987)CrossRefGoogle Scholar
  5. 5.
    Fujii, K.: Toward Second-Era of Computational Fluid Dynamics -Observation from the Studies in Aerospace, Keynote Lecture. In: ASME/JSME/KSME Joint Fluid Engineering Conference, Hamamatsu (July 2011)Google Scholar
  6. 6.
    Kim, D., Wang, M.: Large-eddy simulation of flow over a circular cylinder with plasma-based control. AIAA 2009-1080 (2009)Google Scholar
  7. 7.
    Boris, J.P., Grinstein, F.F., Oran, E., Kolbe, R.J.: New insights into large eddy simulation. Fluid Dynamics Research 10, 199–228 (1992)CrossRefGoogle Scholar
  8. 8.
    Lele, S.K.: Compact finite difference schemes with spectral-like resolution. Journal of Computational Physics 103(1), 16–42 (1992)MathSciNetzbMATHCrossRefGoogle Scholar
  9. 9.
    Gaitonde, D.V., Visbal, M.R.: Padé-type higher-order boundary filters for the Navier-stokes equations. AIAA Journal 38, 2103–2112 (2000)CrossRefGoogle Scholar
  10. 10.
    Fujii, K.: Efficiency Improvement of Unified Implicit Relaxation/Time Integration Algorithms. AIAA Journal 37(1), 125–128 (1999)CrossRefGoogle Scholar
  11. 11.
    Fujii, K., Obayashi, S.: High-resolution upwind scheme for vortical-flow simulations. Journal of Aircraft 26(12), 1123–1129 (1989)CrossRefGoogle Scholar
  12. 12.
    Yoon, S., Kwak, D., Chang, L.: LU-SGS Implicit Algorithm for Three Dimensional Incompressible Navier-Stokes Equations with Source Term. AIAA Paper 89-1964-CP (1989)Google Scholar
  13. 13.
    Asada, K., Fujii, K.: Computational Analysis of Unsteady Flow-field Induced by Plasma Actuator in Burst Mode. AIAA Paper 2010-5090 (June 2010)Google Scholar
  14. 14.
    Shima, E., Jounouchi, T.: Role of CFD in aeronautical engineering (No. 14) –AUSM type upwind schemes. In: Proceedings of the 14th NAL Symposium on Aircraft Computational Aerodynamics, NAL, pp. 7–12 (1997) (in Japanese)Google Scholar
  15. 15.
    van Leer, B.: Towards the ultimate conservation difference scheme v. a second-order sequel to Godunov’s method. Journal of Computational Physics 32, 101–136 (1979)CrossRefGoogle Scholar
  16. 16.
    Baldwin, B., Lomax, H.: Thin layer approximation and algebraic model for separated turbulent flows. AIAA Paper 78-257 (1978)Google Scholar
  17. 17.
    Laitone, E.V.: Aerodynamic lift at Reynolds numbers below 7x104. AIAA Journal 34(9), 1941–1943 (1996)CrossRefGoogle Scholar
  18. 18.
    Kojima, R., Nonomura, T., Oyama, A., Fujii, K.: Computational Study of Flow Characteristics of Airfoils with Implicit Large-Eddy Simulation at Low Reynolds Number, AJK2011-15026. In: ASME/JSME/KSME Joint Fluid Engineering Conference, Hamamatsu (July 2011)Google Scholar
  19. 19.
    Otake, T., Muramatsu, K., Motohashi, T.: Private Communications. Nihon UniversityGoogle Scholar
  20. 20.
    Post, M.L., Corke, T.C.: Separation control on high angle of attack airfoil using plasma actuators. AIAA Journal 42, 2177–2184 (2004)CrossRefGoogle Scholar
  21. 21.
    Corke, T.C., Post, M.L., Orlov, D.M.: SDBD plasma enhanced aerodynamics: concepts, optimization and applications. Progress in Aerospace Sciences 43, 193–217 (2007)CrossRefGoogle Scholar
  22. 22.
    Visbal, M.R., Gaitonde, D.V., Roy, S.: Control of Transitional and Turbulent Flows Using Plasma-Based Actuators. AIAA Paper 2006-3230 (2006)Google Scholar
  23. 23.
    Tsubakino, D., Tanaka, Y., Fujii, K.: Effective Layout of Plasma Actuators for a Flow Separation Control on a Wing. AIAA Paper 2007-474 (2007)Google Scholar
  24. 24.
    Corke, T.C., He, C., Patelz, M.P.: Plasma flaps and Slats: An application of weakly-ionized plasma actuators. AIAA 2004-2127 (2004)Google Scholar
  25. 25.
    Patel, M.P., Ng, T.T., Vasudevan, S., Corke, T.C., Post, M.L., McLaughlin, T.E., Suchomel, C.F.: Scaling Effects of an Aerodynamic Plasma Actuator. AIAA Paper 2007-635 (2007)Google Scholar
  26. 26.
    Sidorenko, A.A., et al.: Pulsed Discharge Actuators for Rectangular Wings Separation Control. AIAA Paper 2007-941 (2007)Google Scholar
  27. 27.
    Sekimoto, S., Asada, K., Usami, T., Ito, S., Nonomura, T., Oyama, A., Fujii, K.: Experimental Study of Effects of Frequency for Burst Wave on DBD Plasma Actuator for Separation Control. AIAA Paper 2011-3989 (2011)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Kozo Fujii
    • 1
  1. 1.Institute of Space and Astronautical ScienceJapan Aerospace Exploration Agency (JAXA)SagamiharaJapan

Personalised recommendations