Numerical Simulation of the Wave Breaking Process on the Surface of a Dielectric Liquid in a Tangential Electric Field

Abstract

This work is devoted to numerical simulation of the process of interaction between nonlinear waves propagating along the free surface of dielectric liquid in a strong tangential electric field. The model is based on two assumptions: (1) the strong field limit, for which the effects of gravity and capillarity are neglected, and (2) the smallness of nonlinear effects. Results of the numerical simulation show that singular points are formed at the fluid boundary. A sharp drop of the boundary curvature occur in the spatially narrow regions. The amplitude and slope angles of the boundary inclination remain small. The spectral functions of the surface of the liquid acquire a power dependence, namely, $\left|\eta_{k}\right|^{2} \sim k^{-5}$. Near the singularity, the boundary curvature demonstrates behavior typical for Moore’s singularities.