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The Lattice Boltzmann Equation (LBE) method was used to simulate a liquid flow with space electric charge. New approach to describe the charge transfer due to convective charge transport was proposed. Simulations of two-dimensional electrohydrodynamic flow showed pulsations caused by the injection of charged blobs and by the hydrodynamic instability of charged jet. Generation and growth of micro-bubbles in strong electric field near the electrode surface was simulated by the LBE method with interparticle interaction. A threshold electric field was found, below that the bubble generation does not occur. At higher fields, the time of bubble development td is approximately inversely proportional to the square of the voltage.