STABILITY OF 2D FDTD ALGORITHMS WITH LOCAL MESH REFINEMENT FOR MAXWELL'S EQUATIONS

A. R. Zakharian; M. Brio; C. Dineen; J. V. Moloney

doi:10.4310/CMS.2006.v4.n2.a5

STABILITY OF 2D FDTD ALGORITHMS WITH LOCAL MESH REFINEMENT FOR MAXWELL'S EQUATIONS

A. R. Zakharian, M. Brio, C. Dineen, J. V. Moloney

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

We perform stability analysis on the finite-difference time domain method (FDTD) when extended to incorporate local space-time adaptive mesh refinement (AMR). The neutrally stable Yee algorithm becomes extremely sensitive to perturbations introduced by the interpolation schemes employed at grid refinement interfaces. In this paper we investigate the stability of a range of interpolation schemes using Gustafsson-Kreiss-Sundstrom-Trefethen (GKS-T) mode and reflection/transmission coefficients analysis on the infinite domain with a single interface. This analysis allows detection of trapping instabilities, exponentially growing modes, mode resonances with the interface and mode-mode resonances.

Original language	English (US)
Pages (from-to)	345-374
Number of pages	30
Journal	Communications in Mathematical Sciences
Volume	4
Issue number	2
DOIs	https://doi.org/10.4310/CMS.2006.v4.n2.a5
State	Published - 2006

Keywords

Fdtd
Local grid refinement
Maxwells's equations
Stability analysis
Subgridding

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.4310/CMS.2006.v4.n2.a5

Cite this

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abstract = "We perform stability analysis on the finite-difference time domain method (FDTD) when extended to incorporate local space-time adaptive mesh refinement (AMR). The neutrally stable Yee algorithm becomes extremely sensitive to perturbations introduced by the interpolation schemes employed at grid refinement interfaces. In this paper we investigate the stability of a range of interpolation schemes using Gustafsson-Kreiss-Sundstrom-Trefethen (GKS-T) mode and reflection/transmission coefficients analysis on the infinite domain with a single interface. This analysis allows detection of trapping instabilities, exponentially growing modes, mode resonances with the interface and mode-mode resonances.",

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AU - Zakharian, A. R.

AU - Brio, M.

AU - Dineen, C.

AU - Moloney, J. V.

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AB - We perform stability analysis on the finite-difference time domain method (FDTD) when extended to incorporate local space-time adaptive mesh refinement (AMR). The neutrally stable Yee algorithm becomes extremely sensitive to perturbations introduced by the interpolation schemes employed at grid refinement interfaces. In this paper we investigate the stability of a range of interpolation schemes using Gustafsson-Kreiss-Sundstrom-Trefethen (GKS-T) mode and reflection/transmission coefficients analysis on the infinite domain with a single interface. This analysis allows detection of trapping instabilities, exponentially growing modes, mode resonances with the interface and mode-mode resonances.

KW - Fdtd

KW - Local grid refinement

KW - Maxwells's equations

KW - Stability analysis

KW - Subgridding

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STABILITY OF 2D FDTD ALGORITHMS WITH LOCAL MESH REFINEMENT FOR MAXWELL'S EQUATIONS

Abstract

Keywords

ASJC Scopus subject areas

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