A COMPARATIVE-STUDY OF CHARACTERISTIC-BASED ALGORITHMS FOR THE MAXWELL EQUATIONS

Characteristic-based finite-difference and finite-volume schemes have been developed for solving the three-dimensional Maxwell equations in the time domain. A detailed eigenvector analysis for the Maxwell equat ions in a general curvilinear coordinate has also been completed to pr ovide a basic framework for future finite-difference schemes. Although the basic concepts of the two algorithms are identical, the detailed formulations are vastly different for achieving split flux vectors acc ording to the sign of the eigenvalues. A comparative study of these al gorithms applied to an oscillating electric dipole is carried out to a ssess their relative merit for further development. In spherical coord inates, second-order windward numerical simulations of the radiating p henomenon are closely comparable in terms of accuracy and efficiency. These methods also demonstrate an ability to suppress reflected waves from the truncated boundary by a simple compatibility condition. (C) 1 996 Academic Press, Inc.