Arbitrary high order finite-volume methods for electromagnetic wave propagation |
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Authors: | T Schwartzkopff C-D Munz |
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Affiliation: | a Institut für Aerodynamik und Gasdynamik der Universität Stuttgart, Pfaffenwaldring 21, 70550 Stuttgart, Germany b Forschungszentrum Karlsruhe—in der Helmholtz-Gemeinschaft, Institut für Hochleistungsimpuls- und Mikrowellentechnik Postfach 3640, 76021 Karlsruhe, Germany |
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Abstract: | Problems in electromagnetic wave propagation often require high accuracy approximations with low resolution computational grids. For non-stationary problems such schemes should possess the same approximation order in space and time. In the present article we propose for electromagnetic applications an explicit class of robust finite-volume (FV) schemes for the Maxwell equations. To achieve high accuracy we combine the FV method with the so-called ADER approach resulting in schemes which are arbitrary high order accurate in space and time. Numerical results and convergence investigations are shown for two and three-dimensional test cases on Cartesian grids, where the used FV-ADER schemes are up to 8th order accurate in both space and time. |
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Keywords: | 02 60 Lj 02 70 Fj 41 20 Bt |
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