Overlapping Yee FDTD method on nonorthogonal grids

Jinjie Liu; Moysey Brio; Jerome V. Moloney

doi:10.1007/s10915-008-9253-1

Overlapping Yee FDTD method on nonorthogonal grids

Jinjie Liu, Moysey Brio, Jerome V. Moloney

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

10 Scopus citations

Abstract

We propose a new overlapping Yee (OY) method for solving time-domain Maxwell's equations on nonorthogonal grids. The proposed method is a direct extension of the Finite-Difference Time-Domain (FDTD) method to irregular grids. The OY algorithm is stable and maintains second-order accuracy of the original FDTD method, and it overcomes the late-time instability of the previous FDTD algorithms on nonorthogonal grids. Numerical examples are presented to illustrate the accuracy, stability, convergence and efficiency of the OY method.

Original language	English (US)
Pages (from-to)	129-143
Number of pages	15
Journal	Journal of Scientific Computing
Volume	39
Issue number	1
DOIs	https://doi.org/10.1007/s10915-008-9253-1
State	Published - Apr 2009

Keywords

Finite difference time domain method
Nonorthogonal grid
Overlapping cells
Yee's scheme

ASJC Scopus subject areas

Software
Theoretical Computer Science
Numerical Analysis
Engineering(all)
Computational Theory and Mathematics
Computational Mathematics
Applied Mathematics

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title = "Overlapping Yee FDTD method on nonorthogonal grids",

abstract = "We propose a new overlapping Yee (OY) method for solving time-domain Maxwell's equations on nonorthogonal grids. The proposed method is a direct extension of the Finite-Difference Time-Domain (FDTD) method to irregular grids. The OY algorithm is stable and maintains second-order accuracy of the original FDTD method, and it overcomes the late-time instability of the previous FDTD algorithms on nonorthogonal grids. Numerical examples are presented to illustrate the accuracy, stability, convergence and efficiency of the OY method.",

keywords = "Finite difference time domain method, Nonorthogonal grid, Overlapping cells, Yee's scheme",

author = "Jinjie Liu and Moysey Brio and Moloney, {Jerome V.}",

note = "Funding Information: Acknowledgements This work was supported in part by AFOSR (contract numbers FA9550-04-1-0213 and FA9550-07-1-0010). Moysey Brio also would like to acknowledge the support from NSF Grant ITR-0325097.",

year = "2009",

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doi = "10.1007/s10915-008-9253-1",

language = "English (US)",

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T1 - Overlapping Yee FDTD method on nonorthogonal grids

AU - Liu, Jinjie

AU - Brio, Moysey

AU - Moloney, Jerome V.

N1 - Funding Information: Acknowledgements This work was supported in part by AFOSR (contract numbers FA9550-04-1-0213 and FA9550-07-1-0010). Moysey Brio also would like to acknowledge the support from NSF Grant ITR-0325097.

PY - 2009/4

Y1 - 2009/4

N2 - We propose a new overlapping Yee (OY) method for solving time-domain Maxwell's equations on nonorthogonal grids. The proposed method is a direct extension of the Finite-Difference Time-Domain (FDTD) method to irregular grids. The OY algorithm is stable and maintains second-order accuracy of the original FDTD method, and it overcomes the late-time instability of the previous FDTD algorithms on nonorthogonal grids. Numerical examples are presented to illustrate the accuracy, stability, convergence and efficiency of the OY method.

AB - We propose a new overlapping Yee (OY) method for solving time-domain Maxwell's equations on nonorthogonal grids. The proposed method is a direct extension of the Finite-Difference Time-Domain (FDTD) method to irregular grids. The OY algorithm is stable and maintains second-order accuracy of the original FDTD method, and it overcomes the late-time instability of the previous FDTD algorithms on nonorthogonal grids. Numerical examples are presented to illustrate the accuracy, stability, convergence and efficiency of the OY method.

KW - Finite difference time domain method

KW - Nonorthogonal grid

KW - Overlapping cells

KW - Yee's scheme

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