Skip to main content
SpringerLink
Log in

Recent progress in nonlinear eddy-viscosity turbulence modeling

  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

This article presents recent progresses in turbulence modeling in the Unit for Turbulence Simulation in the Department of Engineering Mechanics at Tsinghua University. The main contents include: compact Non-Linear Eddy-Viscosity Model (NLEVM) based on the second-moment closure, near-wall low-Re non-linear eddy-viscosity model and curvature sensitive turbulence model. The models have been validated in a wide range of complex flow test cases and the calculated results show that the present models exhibited overall good performance.

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. Launder BE, Spalding DB. The numerical computation of turbulent flow.Computer Methods in Applied Mechanics and Engineering, 1974, 3: 269–289

    Article  MATH  Google Scholar 

  2. Pope SB. A more general effective viscosity hypothesis.J Fluid Mech, 1975, 72: 331–340

    Article  MATH  Google Scholar 

  3. Gatski TB, Speziale CG. On explicit algebraic stress models for complex turbulent flows.J Fluid Mech, 1993, 254: 59–78

    Article  MATH  MathSciNet  Google Scholar 

  4. Lumley JL. Stochastic tools in turbulence. In: Applied Mathematics and Mechanics. 12. New York and London: Academic Press, 1970

    Google Scholar 

  5. Launder BE. An introduction to single-point closure methodology. In: CRM Proceedings and Lecture Notes in Center de Recherches Mathematiques, 1998

  6. Craft TJ, Launder BE. A Reynolds stress closure designed for complex geometries.International Journal of Heat and Fluid Flow, 1996, 17: 245–254

    Article  Google Scholar 

  7. Shih TH, Lumley JL. Remarks on turbulent constitutive relations.Math Comput Modelling, 1993, 18: 9–16

    Article  MATH  MathSciNet  Google Scholar 

  8. Wang C. The study of nonlinear eddy-viscosity turbulence models. [PhD Thesis]. Beijing: Tsinghua Univ, 2000 (in Chinese)

    Google Scholar 

  9. Reich G, Beer H. Fluid flow and heat transfer in an axially rotating pipe: 1. Effect of rotation on turbulent pipe flow.Int J Heat Mass Transfer, 1989, 32: 551–562

    Article  Google Scholar 

  10. Eggels JGM, Nieuwstadt FTM. Large eddy simulation of turbulent flow in an axially rotating pipe. In: Durst F ed. Proceeding of the 9th Symposium on Turbulent Shear Flows, Japan, 1993, Berlin: Springer-Verlag, 1993

    Google Scholar 

  11. Fu S, Leschziner MA, Launder BE. Modelling strongly swirling recirculating jet flow with Reynolds-stress transport closures. In: Proc Six Symp on Turbulence Shear Flows, Toulouse, France, Sept 1987

  12. Fu S, Rung T, Thiele F. On the realizability of nonlinear stress-strain relationships for Reynolds stress closure. In: Durst F, et al eds. Proceedings of 11th Symposium on Turbulent Shear Flows. Grenobles, France: the Université Joseph Fourier of Grenoble, 1997, 2.13.1–13.6

    Google Scholar 

  13. Wallin S, Johansson AV. A new explicit algebraic Reynolds stress turbulence model for 3D flow. In: Durst F, et al. eds. Proceedings of 11th Symposium on Turbulent Shear Flows. Grenobles, France: the Université Joseph Fourier of Grenoble, 1997, 2: 13.13–13.17

    Google Scholar 

  14. Fu S, Guo Y. Study of wall-parameter-free low-Reynolds-number nonlinear eddy-viscosity model.Acta Mechanica Sinica, 2001, 33(2): 145–152 (in Chinese)

    Google Scholar 

  15. Guo Y, Fu S. On the elimination of wall-topography parameters from the nonlinear eddy-viscosity closure, CFD J, 2002, 10(4): 512–519

    Google Scholar 

  16. Wilcox DC. Turbulence Modeling for CFD. California: DCW Industries Inc, 1993

    Google Scholar 

  17. Kim J, Mom P, Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number.J Fluid Mech, 1987, 117: 133–166

    Article  Google Scholar 

  18. Spalart P R. Numerical study of sink-flow boundary layers.J Fluid Mech, 1986, 172: 307–328

    Article  MATH  Google Scholar 

  19. Buice CU, Eaton JK. Experimental investigation of flow through an asymmetric plane diffuser. TSD-107. Stanford, CA, USA: Stanford University, 1997

    Google Scholar 

  20. Haase W, Bradsma F, Elsholz E, et al. Euroval-A European initiative on validation of CFD code. Notes on Numerical Fluid Mech (42). Germany: Vieweg GmbH, 1993

    Google Scholar 

  21. Monson DJ, et al. Comparison of experiment with calculations using curvature-corrected zero and two equation turbulence models for a two-dimensional U-duct. AIAA-90-1484, 1990

  22. Luo J, Lakshminarayana B. Prediction of strongly curved turbulent duct flows with Reynolds stress model.AIAA J, 1997, 35(1): 91–98

    MATH  Google Scholar 

  23. Rumsey CL, Gatski TB, Morrison JH. Turbulence model predictions of extra-strain rate effects in strongly-curved Flows. AIAA-99-0157, 1999

  24. Qian WQ, Fu S. Curvature sensitive nonlinear turbulence model.Acta Mechanica Sinica, 2002, 18(1): 31–41

    Article  Google Scholar 

  25. Fu S, Qian WQ. Development of curvature sensitive nonlinear eddy-viscosity model.AIAA J, 2002, 40(11): 2225–2233

    Article  Google Scholar 

  26. Gibson MM, Launder BE. Ground effect on pressure fluctuation in the atmospheric boundary layer.J Fluid Mech, 1978, 86: 491–511

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Engineering Mechanics, Tsinghua University, 100084, Beijing, China

    Fu Song, Guo Yang, Qian Weiqi & Wang Chen

Authors
  1. Fu Song
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Guo Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Qian Weiqi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Wang Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The project supported by the National Natural Science Foundation of China (10232020), the National Key Basic Research Special Fund of China (2001CB409600) and the National High-Tech Development Program (2002AA311240)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Song, F., Yang, G., Weiqi, Q. et al. Recent progress in nonlinear eddy-viscosity turbulence modeling. Acta Mech Sinica 19, 409–419 (2003). https://doi.org/10.1007/BF02484575

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02484575

Key Words

Search

Navigation