Discontinuous Galerkin Time Domain Methods for Multiscale and Multiphysics Simulations: A Review

The Discontinuous Galerkin Time Domain (DGTD) Method is increasingly prevalent among numerical algorithms of transient analysis in the last decades. Meanwhile, the multiphysics interaction and multiscale simulation analysis of electronic system devices have aroused extensive concern from various research communities. The theoretical research on multiphysics coupling mechanism between electromagnetic (EM) field and other physical fields has been studied by the DGTD method, such as the mutual coupling of EM-circuit, EM-thermal and EM-plasma co-simulations. In this paper, the DGTD method and EM multiphysics effects are comprehensively reviewed from different aspects, which consist of the governing equations, physical field properties and iteration coupling scheme of multiphysics co-simulations. Several typical numerical examples are shown to demonstrate the applicability of DGTD approach for multiphysics coupling issues and phenomena.