Overlapping Yee FDTD Method on Nonorthogonal Grids

Authors:
Jinjie Liu;Moysey Brio;Jerome V. Moloney
Affiliations:
Arizona Center for Mathematical Sciences at Department of Mathematics, University of Arizona, Tucson, USA 85721-0089;Arizona Center for Mathematical Sciences at Department of Mathematics, University of Arizona, Tucson, USA 85721-0089;Arizona Center for Mathematical Sciences at Department of Mathematics, University of Arizona, Tucson, USA 85721-0089
Venue:
Journal of Scientific Computing
Year:
2009

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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.