Extended Finite Element Method Coupling with Complex Bubble Dynamic Characteristics in Electrostatic Field

Due to the complex dynamic characteristics of bubbles, it is crucial to research an accurate and rapid method to calculate the electric potential distribution in the liquid. In this paper, an extended finite element method (XFEM) for coupling the bubble dynamic characteristics is proposed. First, the hydrodynamical equation is used to find the velocities at the nodes. Then, the velocity is substituted into the governing equation of the level set function. Finally, the level set function values at the nodes are coupled to the XFEM equations under the electrostatic field to calculate the electric potential distribution in a two-phase flow. By comparison, it is proved that the error of the calculation result between this method and the conventional finite element method coupling fluid dynamics is less than 5%, and the calculation time is saved by two-thirds.