Material-based limiters for the time-domain Maxwell equations with thin conducting sheets (Q1902685)

For the Maxwell equations written in total-field form, the upwind characteristic-based numerical flux and associated material-based limiters are reformulated to include a thin electric conducting sheet and a thin magnetic conducting sheet at the cell interface. One-dimensional reflection and transmission coefficients are obtained, and the effect of a thin conducting sheet on electromagnetic wave propagation is presented. Numerical results in one dimension are compared to exact analytic solutions to demonstrate the effect that material-based limiters have on wave propagation in isotropic nonhomogeneous materials.