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Lattice Boltzmann Equation Method in Electrohydrodynamic Problems

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Lattice Boltzmann Equation Method in Electrohydrodynamic Problems

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    1. Lattice Boltzmann Equation Method in Electrohydrodynamic Problems Alexander Kupershtokh, Dmitry Medvedev Lavrentyev Institute of Hydrodynamics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia

    2. Equations of EHD

    3. Method of splitting in physical processes

    4. Development of discrete models of medium

    5. Boltzmann equations with discrete velocities

    6. Lattice Boltzmann equation method (LBE)

    7. Lattice Boltzmann equation method (LBE)

    8. New general method of incorporating a body force term into LBE

    9. Exact difference method for lattice Boltzmann equation

    10. Convective transport and diffusion of charge carriers

    11. Calculation of electric field potential and charge transport due to mobility of charge carriers (conductivity)

    12. Action of electrostatic forces on space charges in liquid

    13. Phase transition in 1D

    14. Phase transition in 2D

    15. Phase transitions for Chan-Chen models

    16. Steady state of 1D phase transition layer

    17. Phase transition in 2D

    18. Simulation of immiscible liquids

    19. Phase transition from unstable state (waves of higher density)

    20. Phase transition from metastable state with different nucleuses

    21. Deformation and fragmentation of conductive vapor bubbles in electric field

    22. Deformation and fragmentation of conductive vapor bubbles in electric field

    23. The droplet of higher permittivity in liquid dielectric under the action of electric field

    24. Deformation of vapor bubble under the action of electric field due to electrostriction

    25. Conclusions

    26. Lattice Boltzmann equation method with arbitrary equation of state Zhang, Chen (Phys. Rev. E, 2003)

    27. Liquid boiling with free surface in gravity field

    28. Stages of evolution of multiparticle system (N. N. Bogolubov)

    29. Publications

    30. Previous forms of body force term in LBE

    31. Previous forms of body force term in LBE

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