Abstract
An explicit upwind-difference predictor-corrector integration scheme is applied to the time-domain Maxwell equations of electromagnetics using a cell-centered finite-volume implementation. The characteristic-based numerical flux and material-based limiters (which are scalar coefficients of the extended second-order correction terms in the corrector step) are reformulated for a material interface that contains a thin electric and-or thin magnetic conducting sheet. The integration scheme requires the material-based limiters to correctly model wave reflection and transmission at a material interface and to enable the numerical solution to be advanced at the maximum timestep prescribed by linear stability analysis. The effect of material based limiters is demonstrated for one-dimensional wave propagation in isotropic nonhomogeneous materials with and without thin conducting sheets.
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