Skip to main content
SpringerLink
Log in

Large eddy simulation of a 3-D spatially developing turbulent round jet

  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

A three-dimensional large eddy simulation (LES) of a spatially developing round jet is carried out in cylindrical coordinates using a dynamic subgrid model with strong inflow instability. Evolutions of large-scale vortex structures represented by tangential vortices are obtained and compared with flow visualization. Also presented are three-dimensional spatial evolutions of coherent structure, which are of quasi two-dimensional Kelvin-Helmholtz instability and vortex rings as well as breaking up of the vortex rings with fully three-dimensional characteristics. Predicted results of mean velocity and turbulent intensity agree well with experiments. They are also compared with the results predicted by LES using standard Smagorinsky model and show good self-similarity. Turbulence spectrum of the predicted velocity shows the −5/3 decay for higher wave number, as expected for turbulent round jet flows. In addition, β-test and γ-test are carried out for the instantaneous velocity, showing that the present LES method can successfully predict the hierarchical structure of round jet.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Wang B, Zhang H Q, Wang X L. Large-eddy simulation of near-field dynamics in a particle-laden round turbulent jet. Chin J Aeron, 2010, 23: 162–169

    Article  MATH  Google Scholar 

  2. Zhang H Q, Wang B, Chan C K, et al. Large eddy simulation of a dilute particle-laden turbulent flow over a backward-facing step. Sci China Ser E-Tech Sci, 2008, 51(11): 1957–1970

    Article  MATH  Google Scholar 

  3. Gu Z L, Zhang Y W, Lei K B. Large eddy simulation of flow in a street canyon with tree planting under various atmospheric instability conditions. Sci China Tech Sci, 2010, 53(7): 1928–1937

    Article  MATH  Google Scholar 

  4. Calmet I, Magnaudet J. Large-eddy simulation of high-Schmidt number mass transfer in a turbulent channel flow. Phy Fluids, 1997, 9(2): 438–455

    Article  Google Scholar 

  5. Fan Q L. Large Eddy Simulation of Two-phase Turbulent Jets (in Chinese). Dissertation of Doctor Degree. Beijing: Tsinghua University, 2000

    Google Scholar 

  6. Li J C. Large eddy simulation of complex turbulent flows: Physical aspects and research trends. Acta Mech Sinica, 2001, 17(4): 289–301

    Article  Google Scholar 

  7. Wagner G J, Liu W K. Turbulence simulation and multiple scale subgrid models. Comput Mech, 2000, 25(2–3): 117–136

    Article  MATH  Google Scholar 

  8. Wang B, Zhang H Q, Chan C K, et al. Velocity fluctuations in a particle-laden flow over a backward-facing step. CMC-Comp, Mater Cont, 2004, 1(3): 275–288

    MATH  Google Scholar 

  9. Jin H H, Chen S T, Chen L H, et al. Numerical investigation of the effect of sub-grid scale eddies on the dispersed particles by LES/FDF model. Sci China Tech Sci, 2010, 53(5): 1304–1308

    Article  MATH  Google Scholar 

  10. Verzicco R, Orlandi P. Direct simulations of the transitional regime of a circular jet. Phy Fluids, 1994, 6(2): 751–759

    Article  MATH  Google Scholar 

  11. Fatica M, Orlandi P, Verzicco R. Direct and large eddy simulations of round jets. In: Proceedings of 1st ERCOFTAC Workshop on Direct and Large Eddy Simulations, 1994. 49–60

  12. Dai Y, Kobayashi T, Taniguchi N. Large eddy simulation of plane turbulent jet flow using a new outflow velocity boundary condition. JSME Int J B-Fluid T, 1994, 37(2): 242–253

    Google Scholar 

  13. Olsson M, Fuchs L. Large eddy simulation of the proximal region of a spatially developing circular jet. Phy Fluids, 1996, 8(8): 2125–2137

    Article  Google Scholar 

  14. Boersma B J, Brethouwer G, Nieuwstadt F T M. A numerical investigation on the effect of the inflow conditions on the self-similar region of a round jet. Phy Fluids, 1998, 10(4): 899–909

    Article  Google Scholar 

  15. David J G, Frankel S H. Stochastic inlet conditions for large-eddy simulation of a fully turbulent jet. AIAA J, 2003, 41(6): 1064–1073

    Article  Google Scholar 

  16. Verzicco R, Orlandi P. A finite-difference scheme for three-dimensional incompressible flows in cylindrical coordinates. J Comput Phy, 1996, 123(2): 402–414

    Article  MathSciNet  MATH  Google Scholar 

  17. Germano M, Piomelli U, Moin P, et al. A dynamic subgrid-scale eddy viscosity mode. Phy Fluids, 1991, 3: 1760–1773

    Article  MATH  Google Scholar 

  18. Kravchenko A G, Moin P. On the effect of numerical errors in large eddy simulations of turbulent flows. J Comput Phy, 1997, 131: 310–322

    Article  MATH  Google Scholar 

  19. Chorin A J. Numerical solution of the Navier-Stokes equations. Math Comput, 1968, 22: 745–762

    Article  MathSciNet  MATH  Google Scholar 

  20. Lai M C, Lin W W, Wang W C. A fast spectral/difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries. IMA J Numer Anal, 2002, 22: 537–548

    Article  MathSciNet  MATH  Google Scholar 

  21. Dyke M V. An Album of Fluid Motion. Michigan: The Parabolic Press, 1982

    Google Scholar 

  22. Amielh M, Djeridane T, Anselmet F, et al. Velocity near-field of variable density turbulent jets. Int J Heat Mass Transfer, 1996, 39(10): 2149–2164

    Article  Google Scholar 

  23. She Z S, Leveque E. Universal scaling laws in fully developed turbulence. Phy Rev Lett, 1994, 72(3): 336–339

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Aerospace, Tsinghua University, Beijing, 100084, China

    HuiQiang Zhang, Yi Rong, Bing Wang & XiLin Wang

Authors
  1. HuiQiang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yi Rong
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Bing Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. XiLin Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Bing Wang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, H., Rong, Y., Wang, B. et al. Large eddy simulation of a 3-D spatially developing turbulent round jet. Sci. China Technol. Sci. 54, 2916–2923 (2011). https://doi.org/10.1007/s11431-011-4577-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-011-4577-8

Keywords

Search

Navigation