A DGTD-Based Multiscale Simulator for Electromagnetic Multiphysics Problems

Most multiphysics problems are multiscale problems due to the mutual couplings between physics of different natures. To perform an accurate multiphysics simulation, these multiscale couplings and interactions must be accounted for carefully. In this paper, a multiscale simulator for multiphysics problems based on the discontinuous Galerkin time-domain (DGTD) method is described. An adaptive technique that allows a dynamic adjustment of the polynomial orders in the simulation domain is used to provide different spatial resolutions for the multiscale couplings. To achieve a high simulation efficiency, a multirate time integration method is adopted to permit different temporal resolutions in different simulation regions. An electromagnetics-plasma interaction process is presented to demonstrate the effort towards this high-performance multiscale simulator.