  Direct numerical simulation of threedimensional chaotic motion of a
dielectric liquid with a free surface under the action of external horizontal
electric field is carried out. The numerical model takes into account the
effects of surface tension, viscosity, and external isotropic random forcing
acting at large scales. A transition from dispersive capillary wave turbulence
to quasi-isotropic nondispersive EHD surface turbulence with increase of the
external electric field strength is numerically observed for the first time. At
the regime of developed EHD wave turbulence, the total electrical energy is
found to be much greater than the energy of capillary waves, i.e.,
electrohydrodynamic effects play a dominant role. At the same time, anisotropic
effects are detected that lead to the generation of capillary wave packets
traveling perpendicular to the external field direction. Despite the revealed
anisotropy, the calculated spectrum of EHD wave turbulence is in very good
agreement with the analytical spectrum obtained on the basis of dimensional
analysis of weak turbulence spectra.
