A Hybrid Grid DGTD Algorithm for Tetrahedral and Hexahedron Based on Virtual Element

Abstract

DGTD (Time Domain Discontinuous Galerkin) is a new time domain algorithm with broad application prospects in recent years. When dividing the computational domain, the tetrahedral mesh can fit the fine structure of the object, but for objects with larger geometrical dimensions, gets mass unknown and takes up too much resources. If use hexahedral mesh, a step error is generated at the fine structure. Therefore, this paper proposes a swap boundary method for tetrahedral and hexahedron elements. Different sub-domains are divided by different grid elements, and virtual elements exchange numerical fluxes on the swap boundary. The feasibility of this method is verified by the radiation example of electric dipole.