Numerical simulation of the laminar-turbulent transition in the flow over a backward-facing step


The capabilities of the quasi-gasdynamic equations as applied to the simulation of laminar-turbulent transitions are demonstrated by computing the viscous compressible gas flow in a channel with an abrupt expansion.

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


  1. 1.

    O. M. Belotserkovskii and A. M. Oparin, Numerical Experiment in Turbulence: From Order to Chaos (Nauka, Moscow, 2001) [in Russian].

    Google Scholar 

  2. 2.

    Yu. V. Sheretov, Mathematical Modeling of Fluid Flows Based on Quasi-Hydrodynamic and Quasi-Gasdynamic Equations (Tversk. Gos. Univ., Tver, 2000) [in Russian].

    Google Scholar 

  3. 3.

    T. G. Elizarova, M. E. Sokolova, and Yu. V. Sheretov, Zh. Vychisl. Mat. Mat. Fiz. 45, 545 (2005) [Comput. Math. Math. Phys. 45, 524 (2005)].

    MATH  MathSciNet  Google Scholar 

  4. 4.

    T. G. Elizarova, Quasi-Gasdynamic Equations and Methods for Computing Viscous Flows (Nauchnyi Mir, Moscow, 2007) [in Russian].

    Google Scholar 

  5. 5.

    T. G. Elizarova and M. E. Sokolova, Vestn. Mosk. Univ., Fiz. Astron., No. 3, 6 (2005).

  6. 6.

    B. F. Armaly, F. Durst, J. C. F. Pereira, and B. Schonung, J. Fluid Mech. 127, 473 (1983).

    Article  ADS  Google Scholar 

  7. 7.

    H. Le, P. Moin, and J. Kim, J. Fluid Mech. 330, 349 (1997).

    MATH  Article  ADS  Google Scholar 

  8. 8.

    D. Wee, Yi. Tongxun, A. Annaswamy, and A. Ghoniem, Phys. Fluids 16, 3361 (2004).

    Article  ADS  Google Scholar 

  9. 9.

    T. G. Elizarova, I. S. Kalachinskaya, Yu. V. Sheretov, and E. V. Shil’nikov, in Applied Issues and Computer Science, Ed. by D. P. Kostomarov and V. I. Dmitriev, (Maks Press, Moscow, 2003), No. 14, p. 85 [in Russian].

    Google Scholar 

Download references

Author information



Corresponding author

Correspondence to T. G. Elizarova.

Additional information

Original Russian Text © T.G. Elizarova, P.N. Nikol’skii, 2007, published in Vestnik Moskovskogo Universiteta, Fizika, 2007, No. 4, pp. 14–17.

About this article

Cite this article

Elizarova, T.G., Nikol’skii, P.N. Numerical simulation of the laminar-turbulent transition in the flow over a backward-facing step. Moscow Univ. Phys. 62, 216–220 (2007).

Download citation


  • Direct Numerical Simulation
  • Separation Zone
  • Turbulent Transition
  • Viscous Stress Tensor
  • Abrupt Expansion