Flux limiting embedded boundary technique for electromagnetic FDTD

Abstract

A general approach for incorporating embedded boundaries into an electromagnetic finite difference time domain (FDTD) code is presented. This algorithm is shown to satisfy Gauss’s law and enforces no magnetic monopoles while maintaining a globally second-order result (first-order at physical boundaries), with no added time-step restriction. Theoretically predicted superior results are shown with an 11% time-step reduction from the Courant stability limit. This is achieved through a physics-based flux limiting scheme near physical boundaries. Stability, local truncation error and energy conservation analysis are also provided.