Advertisement

Acta Mechanica Sinica

, Volume 32, Issue 1, pp 1–11 | Cite as

Large-eddy simulation of circular cylinder flow at subcritical Reynolds number: Turbulent wake and sound radiation

  • Li Guo
  • Xing Zhang
  • Guowei HeEmail author
Research Paper

Abstract

The flows past a circular cylinder at Reynolds number 3900 are simulated using large-eddy simulation (LES) and the far-field sound is calculated from the LES results. A low dissipation energy-conserving finite volume scheme is used to discretize the incompressible Navier–Stokes equations. The dynamic global coefficient version of the Vreman’s subgrid scale (SGS) model is used to compute the sub-grid stresses. Curle’s integral of Lighthill’s acoustic analogy is used to extract the sound radiated from the cylinder. The profiles of mean velocity and turbulent fluctuations obtained are consistent with the previous experimental and computational results. The sound radiation at far field exhibits the characteristic of a dipole and directivity. The sound spectra display the \(-5/3\) power law. It is shown that Vreman’s SGS model in company with dynamic procedure is suitable for LES of turbulence generated noise.

Keywords

Flows past circular cylinder Aerodynamic noise Large-eddy simulation Unstructured grid Acoustic analogy 

Notes

Acknowledgments

The authors would like to sincerely thank Prof. D You at Pohang University of Science and Technology for his discussion and advice for the present work. This work was supported by the National Natural Science Foundation of China (Grant 11232011).

References

  1. 1.
    Howe, M.: Theory of vortex sound. Cambridge University Press, Cambridge (2003)zbMATHGoogle Scholar
  2. 2.
    Marsden, A., Wang, M., Dennis, J., et al.: Trailing-edge noise reduction using derivative-free optimization and large-eddy simulation. J. Fluid Mech. 572, 13–36 (2007)CrossRefMathSciNetzbMATHGoogle Scholar
  3. 3.
    Yang, Q., Wang, M.: Computational study of roughness-induced boundary-layer noise. AIAA J. 47, 2417–2429 (2009)CrossRefGoogle Scholar
  4. 4.
    Spalarta, P., Shurb, M., Streletsb, M., et al.: Towards noise prediction for rudimentary landing gear. Proc. Eng. 6, 283–292 (2010)CrossRefGoogle Scholar
  5. 5.
    Boudet, J., Casalino, D., Jacob, M. C.: Prediction of sound radiated by a rod using large eddy simulation. AIAA Paper 2003–3217 (2003)Google Scholar
  6. 6.
    Seo, J.H., Chang, K.W., Moon, Y.J.: Aerodynamic noise prediction for long-span bodies. AIAA Paper 2006–2573 (2006)Google Scholar
  7. 7.
    Orselli, R.M., Meneghini, J.R., Saltara, F.: Two and three-dimensional simulation of sound generated by flow around a circular cylinder. AIAA Paper 2009–3270 (2009)Google Scholar
  8. 8.
    Li, D., Guo, L., Zhang, X., et al.: A numerical study of a turbulent mixing layer and its generated noise. Sci. China Phys. Mech. Astron. 56, 1157–1164 (2013)CrossRefGoogle Scholar
  9. 9.
    Williamson, C.H.K.: Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28, 477–539 (1996)CrossRefGoogle Scholar
  10. 10.
    Murayama, M., Yokokawa, Y., Kato, H.: Computational and experimental study on noise generation from tire-axle regions of a two-wheel main landing gear. AIAA Paper 2011–2821 (2011)Google Scholar
  11. 11.
    Ham, F., You, D., Moin, P.: Discrete conservation principles in large-eddy simulation with application to separation control over an airfoil. Phys. Fluids 20, 101515 (2008)CrossRefGoogle Scholar
  12. 12.
    Smagorinsky, J.: General Circulation Experiments with the Primitive Equations. Mon. Weather Rev. 91, 99–164 (1963)CrossRefGoogle Scholar
  13. 13.
    Vreman, A.: An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications. Phys. Fluids 16, 3670 (2004)Google Scholar
  14. 14.
    You, D., Moin, P.: A dynamic global-coefficient subgrid-scale eddy-viscosity model for large-eddy simulation in complex geometries. Phys. Fluids 19, 169–182 (2007)Google Scholar
  15. 15.
    Perot, J.B.: An analysis of the fractional step method. J. Comput. Phys. 108, 51–58 (1993)CrossRefMathSciNetzbMATHGoogle Scholar
  16. 16.
    Mahesh, K., Constantinescu, G., Moin, P.: A numerical method for large-eddy simulation in complex geometries. J. Comput. Phys. 197, 215–240 (2004)CrossRefzbMATHGoogle Scholar
  17. 17.
    Karypis, G., Kumar, V.: A fast and highly quality multilevel scheme for partitioning irregular graphs. SIAM J. Sci. Comput. 20, 359–392 (1999)CrossRefMathSciNetzbMATHGoogle Scholar
  18. 18.
    Henson, V., Yang, U.: BoomerAMG: A parallel algebraic multigrid solver and preconditioner. Appl. Numer. Math. 41, 155–177 (2002)CrossRefMathSciNetzbMATHGoogle Scholar
  19. 19.
    Lighthill, M.J.: On sound generated aerodynamically. I. General theory. Proc. R. Soc. A 211, 564–587 (1952)CrossRefMathSciNetzbMATHGoogle Scholar
  20. 20.
    Curle, N.: The influence of solid boundaries upon aerodynamic sound. Proc. R. Soc. A 231, 505–510 (1955)CrossRefMathSciNetzbMATHGoogle Scholar
  21. 21.
    Kravchenko, A.G., Moin, P.: Numerical studies of flow over a circular cylinder at \(ReD=3900\). J. Comput. Phys. 197, 215–240 (2004)CrossRefGoogle Scholar
  22. 22.
    Beaudan, P., Moin, P.: Numerical experiments on the flow past a circular cylinders at sub-critical Reynolds numbers. Report No. TF-62, Department of Mechanical Engineering, Stanford University, Stanford (1994)Google Scholar
  23. 23.
    Lourenco, L., Shih, C., Krothapalli, A.: Observations on the near wake of a yawed circular cylinder. Laser anemometry in fluid mechanics V. Springer-Verlog, Berlin (1993)Google Scholar
  24. 24.
    Ong, L., Wallace, J.: The velocity field of the turbulent very near wake of a circular cylinder. Exp. Fluids 20, 441–453 (1996)CrossRefGoogle Scholar
  25. 25.
    Cardell, G.S.: Flow past a circular cylinder with a permeable wake splitter plate. [Ph.D. Thesis]. California Institute of Technology, Pasadena (1993)Google Scholar
  26. 26.
    Tang, K.F.: Numerical simulation of flow-induced noise by means of the hybrid method with LES and aeroacoustic analogy. [Ph.D. thesis]. University of Siegen, Siegen (2004)Google Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.China Academy of Aerospace AerodynamicsBeijingChina
  2. 2.State Key Laboratory of Non-linear Mechanics, Institute of MechanicsChinese Academy of SciencesBeijingChina

Personalised recommendations