An explicit fourth-order orthogonal curvilinear staggered-grid FDTD method for Maxwell's equations

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Original languageEnglish
Pages (from-to)739-763
Journal / PublicationJournal of Computational Physics
Issue number2
Publication statusPublished - 20 Jan 2002


The explicit fourth-order staggered finite-difference time-domain scheme, previously proposed for a Cartesian grid, is extended to Maxwell's equations in an orthogonal curvilinear coordinate system and applied to electromagnetic wave problems. A simple technique is also presented for generating orthogonal curvilinear grids that conform to the material boundaries and interfaces of the problem. Numerical experiments are presented to illustrate the efficiency and accuracy of the method. © 2002 Elsevier Science (USA).

Research Area(s)

  • Explicit fourth-order scheme, FDTD method, Maxwell's equations, Orthogonal curvilinear grid, Staggered scheme, Yee's scheme