Characteristic-based, time-dependent Maxwell equation solvers on a general curvilinear frame

Four cell-centered, finite-volume characteristic-based procedures for solving time-dependent, three-dimensional Maxwell equations on a general curvilinear frame are developed and implemented. On a spherical coordinate system, these methods generate simulations or an oscillating electric dipole without wave reflection from the truncated computational domain. Through a comparative study, it is established that an upwind-biased third-order scheme demonstrates less dispersive and dissipative errors than second-order schemes

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