Second order scheme for maxwell's equations with discontinuous electromagnetic properties

Authors:
Timur Z. Ismagilov
Affiliations:
Department of Information Technologies, Novosibirsk State University, Novosibirsk, Russia
Venue:
MMCP'11 Proceedings of the 2011 international conference on Mathematical Modeling and Computational Science
Year:
2011

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Abstract

A second order finite volume scheme for numerical solution of non-stationary Maxwell's equations with discontinuous dielectric permittivity and magnetic permeability on unstructured meshes is suggested. The scheme is based on Godunov, Lax-Wendroff, and Van Leer approaches. The distinctive feature of the considered scheme is calculation of derivatives that ensures approximation even near electromagnetic properties discontinuity. Numerical tests confirm the second order of approximation of the proposed scheme for cases of linear and curvilinear discontinuities.