Js. Shang et D. Gaitonde, CHARACTERISTIC-BASED, TIME-DEPENDENT MAXWELL EQUATION SOLVERS ON A GENERAL CURVILINEAR FRAME, AIAA journal, 33(3), 1995, pp. 491-498
Four cell-centered, finite-volume characteristic-based procedures for
solving time-dependent, three-dimensional Maxwell equations on a gener
al curvilinear frame are developed and implemented. On a spherical coo
rdinate system, these methods generate simulations of an oscillating e
lectric dipole without wave reflection from the truncated computationa
l domain. Through a comparative study, it is established that an upwin
d-biased third-order scheme demonstrates less dispersive and dissipati
ve errors than second-order schemes.