Title

A comparative study of characteristic-based algorithms for the Maxwell Equations

Document Type

Article

Publication Date

1-1-1996

Department

Mechanical Engineering

Abstract

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 equations in a general curvilinear coordinate has also been completed to provide 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 according to the sign of the eigenvalues. A comparative study of these algorithms applied to an oscillating electric dipole is carried out to assess their relative merit for further development. In spherical coordinates, second-order windward numerical simulations of the radiating phenomenon 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. © 1996 Academic Press, Inc.

DOI

10.1006/jcph.1996.0100

First Page

378

Last Page

394

Publication Title

Journal of Computational Physics

Comments

At the time of publication, Robert M. Fithen was affiliated with Wright-Patterson AFB.

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