Research on Extended Finite Element Method for Axisymmetric Electrostatic Field Based on Liquid Nitrogen with Bubbles

In this paper, the extended finite element method (XFEM) is first applied to account for weak discontinuity of axisymmetric electrostatic field. Firstly, interface between two materials in an described by level set method. The enrichment function used modify shape elements. Secondly, illustrate feature function, distribution diagrams functions sub-elements are drawn. 3D field can be simplified field, which reduce difficulty calculation. Finally, models with bubbles liquid nitrogen prove reliability XFEM. Compared conventional (CFEM), XFEM costs lower computing resources almost same computational accuracy.