2013 1(12)

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Kupershtokh A.L., Gavrilov N.V., Ermanyuk E.V.

Lavrentyev Institute of Hydrodynamics SB RAS, Novosibirsk, Russia


Kupershtokh, A.L., Gavrilov, N.V. and Ermanyuk, E.V., (2013) Destruction of liquid films on solid and liquid substrates under body force effect, Modern Science: Researches, Ideas, Results, Technologies, Iss. #1(12), PP. 389 - 395.


film; substrate; computer modeling; fluid; Lattice Boltzmann Equation; LBE


In this paper we investigate the behavior of the films that are on solid and liquid substrates. The results of experiments on the destruction of thin films on the surface of the heavier immiscible fluids in a rectangular pan are presented. Under the influence of the surface tension these holes expanded and in the interaction with the walls deform, radically changing its shape. The experiments executed for the evolution of one hole and two holes with the interaction. For the 3D computer simulation was used lattice Boltzmann equation method (Lattice Boltzmann Equation, LBE) with parallelizing on GPU (Graphics Processing Unit). For parallel computing technology has been used programming software CUDA (Compute Unified Device Architecture). A 3D computer simulation of the destruction of liquid films on the surface of solid and liquid substrates due to the thermocapillary effect (Marangoni effect) is carried out. Simulation of the evolution of the holes in the liquid film for two-layer systems of immiscible liquids is performed.


  1. Kupershtokh, A.L. (2012). "Three-dimensional simulations of two-phase liquid-vapor systems on GPU using the lattice Boltzmann method", Numerical Methods and Programming, Vol. 13, pp. 130-138.

  2. Qian Y.H., Chen S. Finite size effect in lattice-BGK models // International Journal of Modern Physics C. 1997. Vol. 8, N 4. P. 763-771.

  3. Kupershtokh A.L., Medvedev D.A., Karpov D.I. On equations of state in a lattice Boltzmann method // Computers and Mathematics with Applications, 2009. Vol. 58, N 5. P. 965-974.

  4. Kupershtokh, A.L. (2005). "Simulation of flows with liquid-vapor interfaces by the lattice Boltzmann method", Vestnik NGU (Quart.J. of Novosibirsk State Univ.), Series: Math., Mech. and Informatics, Vol. 5, No. 3, pp. 29-42.

  5. Kupershtokh A.L., Karpov D.I., Medvedev D.A., Stamatelatos C.P., Charalambakos V.P., Pyrgioti E.C., Agoris D.P., Stochastic models of partial discharge activity in solid and liquid dielectrics // IET Science, Measurement and Technology. 2007. V. 1, N 6. P. 303-311.

  6. Qian Y.H., Orzag S.A. Lattice BGK models for the Navier - Stokes equation: Nonlinear deviation in compressible regimes // Europhys. Lett. 1993. Vol. 21. P. 255-259.

  7. Kupershtokh, A.L. (2004). "Incorporating a body force term into the lattice Boltzmann equation", Vestnik NGU (Quart.J. of Novosibirsk State Univ.), Series: Math., Mech. and Informatics, Vol. 4, No. 2, pp. 75-96.

  8. Kupershtokh A.L. New method of incorporating a body force term into the lattice Boltzmann equation // Proc. of the 5th International EHD Workshop, Poitiers, France, 2004, pp. 241-246.

  9. Kupershtokh A.L. Criterion of numerical instability of liquid state in LBE simulations // Computers and Mathematics with Applications, 2010. V. 59, N 7. P. 2236-2245.

  10. Bratukhin, Yu.K., Zuev, A.L., Kostarev, К.G. and Shmyrov, A.V. (2009). "Stability of a steady-state discontinuity of a fluid layer on the surface of an immiscible fluid", Fluid Dynamics, Vol. 44, No. 3, pp. 340-350.



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