The application of flux corrected transport to transient electromagnetic phenomena

The authors describe the application of flux-corrected transport (FCT), a scheme which allows the accurate numerical analysis of waveshapes that have steep leading or trailing edges. The idea behind the method is to use both a lower-order and, separately, a higher-order approximation to the spatial derivative. The solutions are then combined node by node using a nonlinear weighting scheme that does not allow new maxima or minima to form. The method of FCT is discussed in the context of applications to time-dependent electromagnetic problems. The results indicate a drastic improvement in the solution in regions where steep gradients appear as in pulse propagation. The results of the addition of FCT to the original Lax-Wendroff algorithm are presented. It can be seen that the wavefront is maintained without the additional burden of ripples in the solution.<>