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The Perfectly Matched Layer in Curvilinear Coordinates

Francis Collino 1 Peter Monk 1
1 ONDES - Modeling, analysis and simulation of wave propagation phenomena
Inria Paris-Rocquencourt, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR2706
Abstract : In 1994 Bérenger showed how to construct a perfectly matched absorbing layer for the Maxwell system in rectilinear coordinates. This layer absorbs waves of any wave-length and any frequency without reflection and thus can be used to artificially terminate the domain of scattering calculations. In this paper we show how to derive and implement the Bérenger layer in curvilinear coordinates (in two space dimensions). We prove that an infinite layer of this type can be used to solve time harmonic scattering problems. We also show that the truncated Bérenger problem has a solution except at a discrete set of exceptional frequencies (which might be empty). Finally numerical results show that the curvilinear layer can produce accurate solutions in the time and frequency domain.
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Submitted on : Wednesday, May 24, 2006 - 1:24:21 PM
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  • HAL Id : inria-00073643, version 1

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Francis Collino, Peter Monk. The Perfectly Matched Layer in Curvilinear Coordinates. [Research Report] RR-3049, INRIA. 1996. ⟨inria-00073643⟩

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