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Large-eddy simulation of flows past a flapping airfoil using immersed boundary method

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Abstract

The numerical simulation of flows past flapping foils at moderate Reynolds numbers presents two challenges to computational fluid dynamics: turbulent flows and moving boundaries. The direct forcing immersed boundary (IB) method has been developed to simulate laminar flows. However, its performance in simulating turbulent flows and transitional flows with moving boundaries has not been fully evaluated. In the present work, we use the IB method to simulate fully developed turbulent channel flows and transitional flows past a stationary/plunging SD7003 airfoil. To suppress the non-physical force oscillations in the plunging case, we use the smoothed discrete delta function for interpolation in the IB method. The results of the present work demonstrate that the IB method can be used to simulate turbulent flows and transitional flows with moving boundaries.

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References

  1. Radespial R, Windte J, Scholz U. Numerical and experimental flow analysis of moving airfoils with laminar separation bubbles. In: 44th AIAA Aerospace Sciences Meeting and Exhibit, 9–12 January 2006, Reno, Nevada. AIAA paper, 2006, AIAA-2006-501

  2. Wissink J, Rodi W. DNS of a Laminar Separation Bubble Affected by Free-stream Disturbances. Dordrecht: Springer/Kluwer Academic, 2004

    Google Scholar 

  3. OL M V, McAuliffe B R, Hanff E S, et al. Comparison of laminar separation bubble measurement on a low Reynolds number airfoil in three facilities. In: 35th AIAA Fluid Dynamics Conference and Exhibit, Toronto, Ontario Canada. AIAA Paper, 2005, AIAA-2005-5149

  4. OL M V. Vortical structures in high frequency pitch and plunge at low Reynolds number. In: 37th AIAA Fluid Dynamics Conference and Exhibit, 25–28 June 2007, Miami, FL. AIAA Paper, 2007, AIAA-2007-4233

  5. Hain R, Kähler C J, Radespiel R. Dynamics of laminar separation bubbles at low-Reynolds-number airfoils. J Fluid Mech, 2009, 630: 129–153

    Article  MATH  ADS  Google Scholar 

  6. Windte J, Scholz U, Radepiel R. Validation of the RANS simulation of lamonar separation bubbles on airfoils. Aerosp Sci technol, 2006, 10: 484–494

    Article  Google Scholar 

  7. Lian Y, Shyy W. Laminar-turbulent transition of low Reynolds number rigid or flexible airfoil. AIAA J, 2007, 45: 1501–1513

    Article  ADS  Google Scholar 

  8. Yuan W, Xu H, Khalid M, Radespiel R. A parametric study of LES on laminar-turbulent transitional flows past an airfoil. Int J Comp Fluid Dyn, 2006, 20: 45–54

    Article  MATH  Google Scholar 

  9. Lenormand E, Sagaut P, Phuoc L, et al. Subgrid-scale models for large-eddy-simulation of compressible wall bounded flows. AIAA J, 2000, 38: 1340–1350

    Article  ADS  Google Scholar 

  10. Peskin C S. The immersed boundary method. Acta Numer, 2002, 11: 479–517

    Article  MATH  MathSciNet  Google Scholar 

  11. Mittal R, Iaccarino G. Immersed boundary methods, Annu Rev Fluid Mech, 2005, 37: 239–261

    Article  MathSciNet  ADS  Google Scholar 

  12. Uhlmann M. First experiments with the simulation of particulate flows. Technical Report, No.1020, CIEMAT, Madrid, Spain, ISSN 1135-9420, 2003

    Google Scholar 

  13. Uhlmann M. An immersed boundary method with direct forcing for the simulation of particulate flows. J Comput Phys, 2005, 209: 448–476

    Article  MATH  MathSciNet  ADS  Google Scholar 

  14. Yang X, Zhang X, Li Z, He G W. A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations. J Comput Phys, 2009, 228: 7821–7836

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. Moin P, Kim J. Numerical investigation of turbulent channel flow. J Fluid Mech, 1982, 118: 341–371

    Article  MATH  ADS  Google Scholar 

  16. Roma A M, Peskin C S, and Berger M J. An adaptive version of the immersed boundary method. J Comput Phys, 1999, 153: 509–534

    Article  MATH  MathSciNet  ADS  Google Scholar 

  17. Roberts S K, Yaras M I. Effects of periodic unsteadiness, freestream turbulence and flow Reynolds number on separation-bubble transition. ASME paper No. GT2003-38626, 2003

  18. McAuliffe B R, Yaras M I. Separation-bubble-transition measurements on a low-Re airfoil using particle image velocimetry. ASME paper No. GT2005-68663, 2005

  19. Yuan W, Khalid M. An investigation of low-Reynolds-number flows past airfoils. In: 23rd AIAA Aerodynamics conference Toronto. AIAA Paper, 2005, AIAA-2005-4607

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Correspondence to GuoWei He.

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Yang, X., He, G. & Zhang, X. Large-eddy simulation of flows past a flapping airfoil using immersed boundary method. Sci. China Phys. Mech. Astron. 53, 1101–1108 (2010). https://doi.org/10.1007/s11433-010-3213-0

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  • DOI: https://doi.org/10.1007/s11433-010-3213-0

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